All Superinterfaces:

AnyMatrix, Blendable<RealMatrix>

All Known Subinterfaces:

SparseRealMatrix

All Known Implementing Classes:

AbstractRealMatrix, Array2DRowRealMatrix, BlockRealMatrix, DiagonalMatrix, OpenMapRealMatrix
```
public interface RealMatrix
extends AnyMatrix, Blendable<RealMatrix>
```
Interface defining a real-valued matrix with basic algebraic operations.
Matrix element indexing is 0-based -- e.g., getEntry(0, 0) returns the element in the first row, first column of the matrix.

Method Summary

All Methods Instance Methods Abstract Methods Default Methods
Modifier and Type	Method	Description
`RealMatrix`	`add(RealMatrix m)`	Returns the sum of `this` and `m`.
`void`	`addToEntry(int row, int column, double increment)`	Adds (in place) the specified value to the specified entry of `this` matrix.
`default RealMatrix`	`blendArithmeticallyWith(RealMatrix other, double blendingValue)`	Blend arithmetically this instance with another one.
`RealMatrix`	`copy()`	Returns a (deep) copy of this.
`void`	`copySubMatrix(int[] selectedRows, int[] selectedColumns, double[][] destination)`	Copy a submatrix.
`void`	`copySubMatrix(int startRow, int endRow, int startColumn, int endColumn, double[][] destination)`	Copy a submatrix.
`RealMatrix`	`createMatrix(int rowDimension, int columnDimension)`	Create a new RealMatrix of the same type as the instance with the supplied row and column dimensions.
`double[]`	`getColumn(int column)`	Get the entries at the given column index as an array.
`RealMatrix`	`getColumnMatrix(int column)`	Get the entries at the given column index as a column matrix.
`RealVector`	`getColumnVector(int column)`	Get the entries at the given column index as a vector.
`double[][]`	`getData()`	Returns matrix entries as a two-dimensional array.
`double`	`getEntry(int row, int column)`	Get the entry in the specified row and column.
`double`	`getFrobeniusNorm()`	Returns the Frobenius norm of the matrix.
`default double`	`getNorm1()`	Returns the maximum absolute column sum norm (L₁) of the matrix.
`default double`	`getNormInfty()`	Returns the maximum absolute row sum norm (L_∞) of the matrix.
`double[]`	`getRow(int row)`	Get the entries at the given row index.
`RealMatrix`	`getRowMatrix(int row)`	Get the entries at the given row index as a row matrix.
`RealVector`	`getRowVector(int row)`	Returns the entries in row number `row` as a vector.
`RealMatrix`	`getSubMatrix(int[] selectedRows, int[] selectedColumns)`	Gets a submatrix.
`RealMatrix`	`getSubMatrix(int startRow, int endRow, int startColumn, int endColumn)`	Gets a submatrix.
`double`	`getTrace()`	Returns the trace of the matrix (the sum of the elements on the main diagonal).
`default RealMatrix`	`map(UnivariateFunction function)`	Acts as if implemented as:
`default RealMatrix`	`mapToSelf(UnivariateFunction function)`	Replace each entry by the result of applying the function to it.
`RealMatrix`	`multiply(RealMatrix m)`	Returns the result of postmultiplying `this` by `m`.
`void`	`multiplyEntry(int row, int column, double factor)`	Multiplies (in place) the specified entry of `this` matrix by the specified value.
`default RealMatrix`	`multiplyTransposed(RealMatrix m)`	Returns the result of postmultiplying `this` by `m^T`.
`double[]`	`operate(double[] v)`	Returns the result of multiplying this by the vector `v`.
`RealVector`	`operate(RealVector v)`	Returns the result of multiplying this by the vector `v`.
`RealMatrix`	`power(int p)`	Returns the result of multiplying `this` with itself `p` times.
`double[]`	`preMultiply(double[] v)`	Returns the (row) vector result of premultiplying this by the vector `v`.
`RealMatrix`	`preMultiply(RealMatrix m)`	Returns the result of premultiplying `this` by `m`.
`RealVector`	`preMultiply(RealVector v)`	Returns the (row) vector result of premultiplying this by the vector `v`.
`RealMatrix`	`scalarAdd(double d)`	Returns the result of adding `d` to each entry of `this`.
`RealMatrix`	`scalarMultiply(double d)`	Returns the result of multiplying each entry of `this` by `d`.
`void`	`setColumn(int column, double[] array)`	Sets the specified `column` of `this` matrix to the entries of the specified `array`.
`void`	`setColumnMatrix(int column, RealMatrix matrix)`	Sets the specified `column` of `this` matrix to the entries of the specified column `matrix`.
`void`	`setColumnVector(int column, RealVector vector)`	Sets the specified `column` of `this` matrix to the entries of the specified `vector`.
`void`	`setEntry(int row, int column, double value)`	Set the entry in the specified row and column.
`void`	`setRow(int row, double[] array)`	Sets the specified `row` of `this` matrix to the entries of the specified `array`.
`void`	`setRowMatrix(int row, RealMatrix matrix)`	Sets the specified `row` of `this` matrix to the entries of the specified row `matrix`.
`void`	`setRowVector(int row, RealVector vector)`	Sets the specified `row` of `this` matrix to the entries of the specified `vector`.
`void`	`setSubMatrix(double[][] subMatrix, int row, int column)`	Replace the submatrix starting at `row, column` using data in the input `subMatrix` array.
`RealMatrix`	`subtract(RealMatrix m)`	Returns `this` minus `m`.
`RealMatrix`	`transpose()`	Returns the transpose of this matrix.
`default RealMatrix`	`transposeMultiply(RealMatrix m)`	Returns the result of postmultiplying `this^T` by `m`.
`double`	`walkInColumnOrder(RealMatrixChangingVisitor visitor)`	Visit (and possibly change) all matrix entries in column order.
`double`	`walkInColumnOrder(RealMatrixChangingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn)`	Visit (and possibly change) some matrix entries in column order.
`double`	`walkInColumnOrder(RealMatrixPreservingVisitor visitor)`	Visit (but don't change) all matrix entries in column order.
`double`	`walkInColumnOrder(RealMatrixPreservingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn)`	Visit (but don't change) some matrix entries in column order.
`double`	`walkInOptimizedOrder(RealMatrixChangingVisitor visitor)`	Visit (and possibly change) all matrix entries using the fastest possible order.
`double`	`walkInOptimizedOrder(RealMatrixChangingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn)`	Visit (and possibly change) some matrix entries using the fastest possible order.
`double`	`walkInOptimizedOrder(RealMatrixPreservingVisitor visitor)`	Visit (but don't change) all matrix entries using the fastest possible order.
`double`	`walkInOptimizedOrder(RealMatrixPreservingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn)`	Visit (but don't change) some matrix entries using the fastest possible order.
`double`	`walkInRowOrder(RealMatrixChangingVisitor visitor)`	Visit (and possibly change) all matrix entries in row order.
`double`	`walkInRowOrder(RealMatrixChangingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn)`	Visit (and possibly change) some matrix entries in row order.
`double`	`walkInRowOrder(RealMatrixPreservingVisitor visitor)`	Visit (but don't change) all matrix entries in row order.
`double`	`walkInRowOrder(RealMatrixPreservingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn)`	Visit (but don't change) some matrix entries in row order.

Methods inherited from interface org.hipparchus.linear.AnyMatrix
getColumnDimension, getRowDimension, isSquare

- Method Detail
  - createMatrix
```
RealMatrix createMatrix(int rowDimension,
                        int columnDimension)
                 throws MathIllegalArgumentException
```
    Create a new RealMatrix of the same type as the instance with the supplied row and column dimensions.
    
    Parameters:
    
    rowDimension - the number of rows in the new matrix
    
    columnDimension - the number of columns in the new matrix
    
    Returns:
    
    a new matrix of the same type as the instance
    
    Throws:
    
    MathIllegalArgumentException - if row or column dimension is not positive.
  - copy
```
RealMatrix copy()
```
    Returns a (deep) copy of this.
    
    Returns:
    
    matrix copy
  - add
```
RealMatrix add(RealMatrix m)
        throws MathIllegalArgumentException
```
    Returns the sum of this and m.
    
    Parameters:
    
    m - matrix to be added
    
    Returns:
    
    this + m
    
    Throws:
    
    MathIllegalArgumentException - if m is not the same size as this.
  - subtract
```
RealMatrix subtract(RealMatrix m)
             throws MathIllegalArgumentException
```
    Returns this minus m.
    
    Parameters:
    
    m - matrix to be subtracted
    
    Returns:
    
    this - m
    
    Throws:
    
    MathIllegalArgumentException - if m is not the same size as this.
  - scalarAdd
```
RealMatrix scalarAdd(double d)
```
    Returns the result of adding d to each entry of this.
    
    Parameters:
    
    d - value to be added to each entry
    
    Returns:
    
    d + this
  - scalarMultiply
```
RealMatrix scalarMultiply(double d)
```
    Returns the result of multiplying each entry of this by d.
    
    Parameters:
    
    d - value to multiply all entries by
    
    Returns:
    
    d * this
  - multiply
```
RealMatrix multiply(RealMatrix m)
             throws MathIllegalArgumentException
```
    Returns the result of postmultiplying this by m.
    
    Parameters:
    
    m - matrix to postmultiply by
    
    Returns:
    
    this * m
    
    Throws:
    
    MathIllegalArgumentException - if columnDimension(this) != rowDimension(m)
  - multiplyTransposed
```
default RealMatrix multiplyTransposed(RealMatrix m)
                               throws MathIllegalArgumentException
```
    Returns the result of postmultiplying this by m^T.
    This is equivalent to call multiply(m.transpose()), but some implementations may avoid building the intermediate transposed matrix.
    
    Parameters:
    
    m - matrix to first transpose and second postmultiply by
    
    Returns:
    
    this * m^T
    
    Throws:
    
    MathIllegalArgumentException - if columnDimension(this) != columnDimension(m)
    
    Since:
    
    1.3
  - transposeMultiply
```
default RealMatrix transposeMultiply(RealMatrix m)
                              throws MathIllegalArgumentException
```
    Returns the result of postmultiplying this^T by m.
    This is equivalent to call transpose().multiply(m), but some implementations may avoid building the intermediate transposed matrix.
    
    Parameters:
    
    m - matrix to postmultiply by
    
    Returns:
    
    this^T * m
    
    Throws:
    
    MathIllegalArgumentException - if columnDimension(this) != columnDimension(m)
    
    Since:
    
    1.3
  - preMultiply
```
RealMatrix preMultiply(RealMatrix m)
                throws MathIllegalArgumentException
```
    Returns the result of premultiplying this by m.
    
    Parameters:
    
    m - matrix to premultiply by
    
    Returns:
    
    m * this
    
    Throws:
    
    MathIllegalArgumentException - if rowDimension(this) != columnDimension(m)
  - power
```
RealMatrix power(int p)
          throws MathIllegalArgumentException
```
    Returns the result of multiplying this with itself p times. Depending on the underlying storage, instability for high powers might occur.
    
    Parameters:
    
    p - raise this to power p
    
    Returns:
    
    this^p
    
    Throws:
    
    MathIllegalArgumentException - if p < 0
    
    MathIllegalArgumentException - if the matrix is not square
  - blendArithmeticallyWith
```
default RealMatrix blendArithmeticallyWith(RealMatrix other,
                                           double blendingValue)
```
    Blend arithmetically this instance with another one.
    
    Specified by:
    
    blendArithmeticallyWith in interface Blendable<RealMatrix>
    
    Parameters:
    
    other - other instance to blend arithmetically with
    
    blendingValue - value from smoothstep function B(x). It is expected to be between [0:1] and will throw an exception otherwise.
    
    Returns:
    
    this * (1 - B(x)) + other * B(x)
  - getData
```
double[][] getData()
```
    Returns matrix entries as a two-dimensional array.
    
    Returns:
    
    2-dimensional array of entries
  - getNorm1
```
default double getNorm1()
```
    Returns the maximum absolute column sum norm (L₁) of the matrix.
    
    Returns:
    
    norm
  - getNormInfty
```
default double getNormInfty()
```
    Returns the maximum absolute row sum norm (L_∞) of the matrix.
    
    Returns:
    
    norm
  - getFrobeniusNorm
```
double getFrobeniusNorm()
```
    Returns the Frobenius norm of the matrix.
    
    Returns:
    
    norm
  - getSubMatrix
```
RealMatrix getSubMatrix(int startRow,
                        int endRow,
                        int startColumn,
                        int endColumn)
                 throws MathIllegalArgumentException
```
    Gets a submatrix. Rows and columns are indicated counting from 0 to n-1.
    
    Parameters:
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index (inclusive)
    
    Returns:
    
    The subMatrix containing the data of the specified rows and columns.
    
    Throws:
    
    MathIllegalArgumentException - if the indices are not valid.
    
    MathIllegalArgumentException - if endRow < startRow or endColumn < startColumn.
  - getSubMatrix
```
RealMatrix getSubMatrix(int[] selectedRows,
                        int[] selectedColumns)
                 throws MathIllegalArgumentException,
                        NullArgumentException
```
    Gets a submatrix. Rows and columns are indicated counting from 0 to n-1.
    
    Parameters:
    
    selectedRows - Array of row indices.
    
    selectedColumns - Array of column indices.
    
    Returns:
    
    The subMatrix containing the data in the specified rows and columns
    
    Throws:
    
    NullArgumentException - if the row or column selections are null
    
    MathIllegalArgumentException - if the row or column selections are empty (zero length).
    
    MathIllegalArgumentException - if the indices are not valid.
  - copySubMatrix
```
void copySubMatrix(int startRow,
                   int endRow,
                   int startColumn,
                   int endColumn,
                   double[][] destination)
            throws MathIllegalArgumentException
```
    Copy a submatrix. Rows and columns are indicated counting from 0 to n-1.
    
    Parameters:
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index (inclusive)
    
    destination - The arrays where the submatrix data should be copied (if larger than rows/columns counts, only the upper-left part will be used)
    
    Throws:
    
    MathIllegalArgumentException - if the indices are not valid.
    
    MathIllegalArgumentException - if endRow < startRow or endColumn < startColumn.
    
    MathIllegalArgumentException - if the destination array is too small.
  - copySubMatrix
```
void copySubMatrix(int[] selectedRows,
                   int[] selectedColumns,
                   double[][] destination)
            throws MathIllegalArgumentException,
                   NullArgumentException
```
    Copy a submatrix. Rows and columns are indicated counting from 0 to n-1.
    
    Parameters:
    
    selectedRows - Array of row indices.
    
    selectedColumns - Array of column indices.
    
    destination - The arrays where the submatrix data should be copied (if larger than rows/columns counts, only the upper-left part will be used)
    
    Throws:
    
    NullArgumentException - if the row or column selections are null
    
    MathIllegalArgumentException - if the row or column selections are empty (zero length).
    
    MathIllegalArgumentException - if the indices are not valid.
    
    MathIllegalArgumentException - if the destination array is too small.
  - setSubMatrix
```
void setSubMatrix(double[][] subMatrix,
                  int row,
                  int column)
           throws MathIllegalArgumentException,
                  NullArgumentException
```
    Replace the submatrix starting at row, column using data in the input subMatrix array. Indexes are 0-based.
    Example:
    Starting with
    
    1 2 3 4 5 6 7 8 9 0 1 2
    
    and subMatrix = {{3, 4} {5,6}}, invoking setSubMatrix(subMatrix,1,1)) will result in
    
    1 2 3 4 5 3 4 8 9 5 6 2
    Parameters:
    
    subMatrix - array containing the submatrix replacement data
    
    row - row coordinate of the top, left element to be replaced
    
    column - column coordinate of the top, left element to be replaced
    
    Throws:
    
    MathIllegalArgumentException - if subMatrix is empty.
    
    MathIllegalArgumentException - if subMatrix does not fit into this matrix from element in (row, column).
    
    MathIllegalArgumentException - if subMatrix is not rectangular (not all rows have the same length) or empty.
    
    NullArgumentException - if subMatrix is null.
  - getRowMatrix
```
RealMatrix getRowMatrix(int row)
                 throws MathIllegalArgumentException
```
    Get the entries at the given row index as a row matrix. Row indices start at 0.
    
    Parameters:
    
    row - Row to be fetched.
    
    Returns:
    
    row Matrix.
    
    Throws:
    
    MathIllegalArgumentException - if the specified row index is invalid.
  - setRowMatrix
```
void setRowMatrix(int row,
                  RealMatrix matrix)
           throws MathIllegalArgumentException
```
    Sets the specified row of this matrix to the entries of the specified row matrix. Row indices start at 0.
    
    Parameters:
    
    row - Row to be set.
    
    matrix - Row matrix to be copied (must have one row and the same number of columns as the instance).
    
    Throws:
    
    MathIllegalArgumentException - if the specified row index is invalid.
    
    MathIllegalArgumentException - if the row dimension of the matrix is not 1, or the column dimensions of this and matrix do not match.
  - getColumnMatrix
```
RealMatrix getColumnMatrix(int column)
                    throws MathIllegalArgumentException
```
    Get the entries at the given column index as a column matrix. Column indices start at 0.
    
    Parameters:
    
    column - Column to be fetched.
    
    Returns:
    
    column Matrix.
    
    Throws:
    
    MathIllegalArgumentException - if the specified column index is invalid.
  - setColumnMatrix
```
void setColumnMatrix(int column,
                     RealMatrix matrix)
              throws MathIllegalArgumentException
```
    Sets the specified column of this matrix to the entries of the specified column matrix. Column indices start at 0.
    
    Parameters:
    
    column - Column to be set.
    
    matrix - Column matrix to be copied (must have one column and the same number of rows as the instance).
    
    Throws:
    
    MathIllegalArgumentException - if the specified column index is invalid.
    
    MathIllegalArgumentException - if the column dimension of the matrix is not 1, or the row dimensions of this and matrix do not match.
  - getRowVector
```
RealVector getRowVector(int row)
                 throws MathIllegalArgumentException
```
    Returns the entries in row number row as a vector. Row indices start at 0.
    
    Parameters:
    
    row - Row to be fetched.
    
    Returns:
    
    a row vector.
    
    Throws:
    
    MathIllegalArgumentException - if the specified row index is invalid.
  - setRowVector
```
void setRowVector(int row,
                  RealVector vector)
           throws MathIllegalArgumentException
```
    Sets the specified row of this matrix to the entries of the specified vector. Row indices start at 0.
    
    Parameters:
    
    row - Row to be set.
    
    vector - row vector to be copied (must have the same number of column as the instance).
    
    Throws:
    
    MathIllegalArgumentException - if the specified row index is invalid.
    
    MathIllegalArgumentException - if the vector dimension does not match the column dimension of this matrix.
  - getColumnVector
```
RealVector getColumnVector(int column)
                    throws MathIllegalArgumentException
```
    Get the entries at the given column index as a vector. Column indices start at 0.
    
    Parameters:
    
    column - Column to be fetched.
    
    Returns:
    
    a column vector.
    
    Throws:
    
    MathIllegalArgumentException - if the specified column index is invalid
  - setColumnVector
```
void setColumnVector(int column,
                     RealVector vector)
              throws MathIllegalArgumentException
```
    Sets the specified column of this matrix to the entries of the specified vector. Column indices start at 0.
    
    Parameters:
    
    column - Column to be set.
    
    vector - column vector to be copied (must have the same number of rows as the instance).
    
    Throws:
    
    MathIllegalArgumentException - if the specified column index is invalid.
    
    MathIllegalArgumentException - if the vector dimension does not match the row dimension of this matrix.
  - getRow
```
double[] getRow(int row)
         throws MathIllegalArgumentException
```
    Get the entries at the given row index. Row indices start at 0.
    
    Parameters:
    
    row - Row to be fetched.
    
    Returns:
    
    the array of entries in the row.
    
    Throws:
    
    MathIllegalArgumentException - if the specified row index is not valid.
  - setRow
```
void setRow(int row,
            double[] array)
     throws MathIllegalArgumentException
```
    Sets the specified row of this matrix to the entries of the specified array. Row indices start at 0.
    
    Parameters:
    
    row - Row to be set.
    
    array - Row matrix to be copied (must have the same number of columns as the instance)
    
    Throws:
    
    MathIllegalArgumentException - if the specified row index is invalid.
    
    MathIllegalArgumentException - if the array length does not match the column dimension of this matrix.
  - getColumn
```
double[] getColumn(int column)
            throws MathIllegalArgumentException
```
    Get the entries at the given column index as an array. Column indices start at 0.
    
    Parameters:
    
    column - Column to be fetched.
    
    Returns:
    
    the array of entries in the column.
    
    Throws:
    
    MathIllegalArgumentException - if the specified column index is not valid.
  - setColumn
```
void setColumn(int column,
               double[] array)
        throws MathIllegalArgumentException
```
    Sets the specified column of this matrix to the entries of the specified array. Column indices start at 0.
    
    Parameters:
    
    column - Column to be set.
    
    array - Column array to be copied (must have the same number of rows as the instance).
    
    Throws:
    
    MathIllegalArgumentException - if the specified column index is invalid.
    
    MathIllegalArgumentException - if the array length does not match the row dimension of this matrix.
  - getEntry
```
double getEntry(int row,
                int column)
         throws MathIllegalArgumentException
```
    Get the entry in the specified row and column. Row and column indices start at 0.
    
    Parameters:
    
    row - Row index of entry to be fetched.
    
    column - Column index of entry to be fetched.
    
    Returns:
    
    the matrix entry at (row, column).
    
    Throws:
    
    MathIllegalArgumentException - if the row or column index is not valid.
  - setEntry
```
void setEntry(int row,
              int column,
              double value)
       throws MathIllegalArgumentException
```
    Set the entry in the specified row and column. Row and column indices start at 0.
    
    Parameters:
    
    row - Row index of entry to be set.
    
    column - Column index of entry to be set.
    
    value - the new value of the entry.
    
    Throws:
    
    MathIllegalArgumentException - if the row or column index is not valid
  - addToEntry
```
void addToEntry(int row,
                int column,
                double increment)
         throws MathIllegalArgumentException
```
    Adds (in place) the specified value to the specified entry of this matrix. Row and column indices start at 0.
    
    Parameters:
    
    row - Row index of the entry to be modified.
    
    column - Column index of the entry to be modified.
    
    increment - value to add to the matrix entry.
    
    Throws:
    
    MathIllegalArgumentException - if the row or column index is not valid.
  - multiplyEntry
```
void multiplyEntry(int row,
                   int column,
                   double factor)
            throws MathIllegalArgumentException
```
    Multiplies (in place) the specified entry of this matrix by the specified value. Row and column indices start at 0.
    
    Parameters:
    
    row - Row index of the entry to be modified.
    
    column - Column index of the entry to be modified.
    
    factor - Multiplication factor for the matrix entry.
    
    Throws:
    
    MathIllegalArgumentException - if the row or column index is not valid.
  - transpose
```
RealMatrix transpose()
```
    Returns the transpose of this matrix.
    
    Returns:
    
    transpose matrix
  - getTrace
```
double getTrace()
         throws MathIllegalArgumentException
```
    Returns the trace of the matrix (the sum of the elements on the main diagonal).
    
    Returns:
    
    the trace.
    
    Throws:
    
    MathIllegalArgumentException - if the matrix is not square.
  - operate
```
double[] operate(double[] v)
          throws MathIllegalArgumentException
```
    Returns the result of multiplying this by the vector v.
    
    Parameters:
    
    v - the vector to operate on
    
    Returns:
    
    this * v
    
    Throws:
    
    MathIllegalArgumentException - if the length of v does not match the column dimension of this.
  - operate
```
RealVector operate(RealVector v)
            throws MathIllegalArgumentException
```
    Returns the result of multiplying this by the vector v.
    
    Parameters:
    
    v - the vector to operate on
    
    Returns:
    
    this * v
    
    Throws:
    
    MathIllegalArgumentException - if the dimension of v does not match the column dimension of this.
  - preMultiply
```
double[] preMultiply(double[] v)
              throws MathIllegalArgumentException
```
    Returns the (row) vector result of premultiplying this by the vector v.
    
    Parameters:
    
    v - the row vector to premultiply by
    
    Returns:
    
    v * this
    
    Throws:
    
    MathIllegalArgumentException - if the length of v does not match the row dimension of this.
  - preMultiply
```
RealVector preMultiply(RealVector v)
                throws MathIllegalArgumentException
```
    Returns the (row) vector result of premultiplying this by the vector v.
    
    Parameters:
    
    v - the row vector to premultiply by
    
    Returns:
    
    v * this
    
    Throws:
    
    MathIllegalArgumentException - if the dimension of v does not match the row dimension of this.
  - walkInRowOrder
```
double walkInRowOrder(RealMatrixChangingVisitor visitor)
```
    Visit (and possibly change) all matrix entries in row order.
    Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    Returns:
    
    the value returned by RealMatrixChangingVisitor.end() at the end of the walk
    
    See Also:
    
    walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInRowOrder
```
double walkInRowOrder(RealMatrixPreservingVisitor visitor)
```
    Visit (but don't change) all matrix entries in row order.
    Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    Returns:
    
    the value returned by RealMatrixPreservingVisitor.end() at the end of the walk
    
    See Also:
    
    walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInRowOrder
```
double walkInRowOrder(RealMatrixChangingVisitor visitor,
                      int startRow,
                      int endRow,
                      int startColumn,
                      int endColumn)
               throws MathIllegalArgumentException
```
    Visit (and possibly change) some matrix entries in row order.
    Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index
    
    Returns:
    
    the value returned by RealMatrixChangingVisitor.end() at the end of the walk
    
    Throws:
    
    MathIllegalArgumentException - if the indices are not valid.
    
    MathIllegalArgumentException - if endRow < startRow or endColumn < startColumn.
    
    See Also:
    
    walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInRowOrder
```
double walkInRowOrder(RealMatrixPreservingVisitor visitor,
                      int startRow,
                      int endRow,
                      int startColumn,
                      int endColumn)
               throws MathIllegalArgumentException
```
    Visit (but don't change) some matrix entries in row order.
    Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index
    
    Returns:
    
    the value returned by RealMatrixPreservingVisitor.end() at the end of the walk
    
    Throws:
    
    MathIllegalArgumentException - if the indices are not valid.
    
    MathIllegalArgumentException - if endRow < startRow or endColumn < startColumn.
    
    See Also:
    
    walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInColumnOrder
```
double walkInColumnOrder(RealMatrixChangingVisitor visitor)
```
    Visit (and possibly change) all matrix entries in column order.
    Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    Returns:
    
    the value returned by RealMatrixChangingVisitor.end() at the end of the walk
    
    See Also:
    
    walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInColumnOrder
```
double walkInColumnOrder(RealMatrixPreservingVisitor visitor)
```
    Visit (but don't change) all matrix entries in column order.
    Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    Returns:
    
    the value returned by RealMatrixPreservingVisitor.end() at the end of the walk
    
    See Also:
    
    walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInColumnOrder
```
double walkInColumnOrder(RealMatrixChangingVisitor visitor,
                         int startRow,
                         int endRow,
                         int startColumn,
                         int endColumn)
                  throws MathIllegalArgumentException
```
    Visit (and possibly change) some matrix entries in column order.
    Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index
    
    Returns:
    
    the value returned by RealMatrixChangingVisitor.end() at the end of the walk
    
    Throws:
    
    MathIllegalArgumentException - if the indices are not valid.
    
    MathIllegalArgumentException - if endRow < startRow or endColumn < startColumn.
    
    See Also:
    
    walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInColumnOrder
```
double walkInColumnOrder(RealMatrixPreservingVisitor visitor,
                         int startRow,
                         int endRow,
                         int startColumn,
                         int endColumn)
                  throws MathIllegalArgumentException
```
    Visit (but don't change) some matrix entries in column order.
    Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index
    
    Returns:
    
    the value returned by RealMatrixPreservingVisitor.end() at the end of the walk
    
    Throws:
    
    MathIllegalArgumentException - if the indices are not valid.
    
    MathIllegalArgumentException - if endRow < startRow or endColumn < startColumn.
    
    See Also:
    
    walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInOptimizedOrder
```
double walkInOptimizedOrder(RealMatrixChangingVisitor visitor)
```
    Visit (and possibly change) all matrix entries using the fastest possible order.
    The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    Returns:
    
    the value returned by RealMatrixChangingVisitor.end() at the end of the walk
    
    See Also:
    
    walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInOptimizedOrder
```
double walkInOptimizedOrder(RealMatrixPreservingVisitor visitor)
```
    Visit (but don't change) all matrix entries using the fastest possible order.
    The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    Returns:
    
    the value returned by RealMatrixPreservingVisitor.end() at the end of the walk
    
    See Also:
    
    walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInOptimizedOrder
```
double walkInOptimizedOrder(RealMatrixChangingVisitor visitor,
                            int startRow,
                            int endRow,
                            int startColumn,
                            int endColumn)
                     throws MathIllegalArgumentException
```
    Visit (and possibly change) some matrix entries using the fastest possible order.
    The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index (inclusive)
    
    Returns:
    
    the value returned by RealMatrixChangingVisitor.end() at the end of the walk
    
    Throws:
    
    MathIllegalArgumentException - if the indices are not valid.
    
    MathIllegalArgumentException - if endRow < startRow or endColumn < startColumn.
    
    See Also:
    
    walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInOptimizedOrder
```
double walkInOptimizedOrder(RealMatrixPreservingVisitor visitor,
                            int startRow,
                            int endRow,
                            int startColumn,
                            int endColumn)
                     throws MathIllegalArgumentException
```
    Visit (but don't change) some matrix entries using the fastest possible order.
    The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index (inclusive)
    
    Returns:
    
    the value returned by RealMatrixPreservingVisitor.end() at the end of the walk
    
    Throws:
    
    MathIllegalArgumentException - if the indices are not valid.
    
    MathIllegalArgumentException - if endRow < startRow or endColumn < startColumn.
    
    See Also:
    
    walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)
  - map
```
default RealMatrix map(UnivariateFunction function)
```
    Acts as if implemented as:
    return copy().mapToSelf(function);
    Returns a new matrix. Does not change instance data.
    Parameters:
    
    function - Function to apply to each entry.
    
    Returns:
    
    a new matrix.
    
    Since:
    
    1.7
  - mapToSelf
```
default RealMatrix mapToSelf(UnivariateFunction function)
```
    Replace each entry by the result of applying the function to it.
    
    Parameters:
    
    function - Function to apply to each entry.
    
    Returns:
    
    a reference to this matrix.
    
    Since:
    
    1.7

Interface RealMatrix

Method Summary

Methods inherited from interface org.hipparchus.linear.AnyMatrix

Method Detail

createMatrix

copy

add

subtract

scalarAdd

scalarMultiply

multiply

multiplyTransposed

transposeMultiply

preMultiply

power

blendArithmeticallyWith

getData

getNorm1

getNormInfty

getFrobeniusNorm

getSubMatrix

getSubMatrix

copySubMatrix

copySubMatrix

setSubMatrix

getRowMatrix

setRowMatrix

getColumnMatrix

setColumnMatrix

getRowVector

setRowVector

getColumnVector

setColumnVector

getRow

setRow

getColumn

setColumn

getEntry

setEntry

addToEntry

multiplyEntry

transpose

getTrace

operate

operate

preMultiply

preMultiply

walkInRowOrder

walkInRowOrder

walkInRowOrder

walkInRowOrder

walkInColumnOrder

walkInColumnOrder

walkInColumnOrder

walkInColumnOrder

walkInOptimizedOrder

walkInOptimizedOrder

walkInOptimizedOrder

walkInOptimizedOrder

map

mapToSelf