Package | Description |
---|---|
org.hipparchus.linear |
Linear algebra support.
|
Modifier and Type | Class | Description |
---|---|---|
class |
AbstractFieldMatrix<T extends FieldElement<T>> |
Basic implementation of
FieldMatrix methods regardless of the underlying storage. |
class |
Array2DRowFieldMatrix<T extends FieldElement<T>> |
Implementation of FieldMatrix
FieldElement [][] array to store entries. |
class |
BlockFieldMatrix<T extends FieldElement<T>> |
Cache-friendly implementation of FieldMatrix using a flat arrays to store
square blocks of the matrix.
|
class |
SparseFieldMatrix<T extends FieldElement<T>> |
Sparse matrix implementation based on an open addressed map.
|
Modifier and Type | Method | Description |
---|---|---|
FieldMatrix<T> |
AbstractFieldMatrix.add(FieldMatrix<T> m) |
Compute the sum of this and m.
|
FieldMatrix<T> |
BlockFieldMatrix.add(FieldMatrix<T> m) |
Compute the sum of this and m.
|
FieldMatrix<T> |
FieldMatrix.add(FieldMatrix<T> m) |
Compute the sum of this and m.
|
abstract FieldMatrix<T> |
AbstractFieldMatrix.copy() |
Make a (deep) copy of this.
|
FieldMatrix<T> |
Array2DRowFieldMatrix.copy() |
Make a (deep) copy of this.
|
FieldMatrix<T> |
BlockFieldMatrix.copy() |
Make a (deep) copy of this.
|
FieldMatrix<T> |
FieldMatrix.copy() |
Make a (deep) copy of this.
|
FieldMatrix<T> |
SparseFieldMatrix.copy() |
Make a (deep) copy of this.
|
static <T extends FieldElement<T>> |
MatrixUtils.createColumnFieldMatrix(T[] columnData) |
Creates a column
FieldMatrix using the data from the input
array. |
static <T extends FieldElement<T>> |
MatrixUtils.createFieldDiagonalMatrix(T[] diagonal) |
Returns a diagonal matrix with specified elements.
|
static <T extends FieldElement<T>> |
MatrixUtils.createFieldIdentityMatrix(Field<T> field,
int dimension) |
Returns
dimension x dimension identity matrix. |
static <T extends FieldElement<T>> |
MatrixUtils.createFieldMatrix(Field<T> field,
int rows,
int columns) |
Returns a
FieldMatrix with specified dimensions. |
static <T extends FieldElement<T>> |
MatrixUtils.createFieldMatrix(T[][] data) |
Returns a
FieldMatrix whose entries are the the values in the
the input array. |
abstract FieldMatrix<T> |
AbstractFieldMatrix.createMatrix(int rowDimension,
int columnDimension) |
Create a new FieldMatrix
|
FieldMatrix<T> |
Array2DRowFieldMatrix.createMatrix(int rowDimension,
int columnDimension) |
Create a new FieldMatrix
|
FieldMatrix<T> |
BlockFieldMatrix.createMatrix(int rowDimension,
int columnDimension) |
Create a new FieldMatrix
|
FieldMatrix<T> |
FieldMatrix.createMatrix(int rowDimension,
int columnDimension) |
Create a new FieldMatrix
|
FieldMatrix<T> |
SparseFieldMatrix.createMatrix(int rowDimension,
int columnDimension) |
Create a new FieldMatrix
|
static <T extends FieldElement<T>> |
MatrixUtils.createRowFieldMatrix(T[] rowData) |
Create a row
FieldMatrix using the data from the input
array. |
FieldMatrix<T> |
AbstractFieldMatrix.getColumnMatrix(int column) |
Get the entries in column number
column
as a column matrix. |
FieldMatrix<T> |
BlockFieldMatrix.getColumnMatrix(int column) |
Get the entries in column number
column
as a column matrix. |
FieldMatrix<T> |
FieldMatrix.getColumnMatrix(int column) |
Get the entries in column number
column
as a column matrix. |
FieldMatrix<Complex> |
ComplexEigenDecomposition.getD() |
Getter D.
|
FieldMatrix<T> |
FieldQRDecomposition.getH() |
Returns the Householder reflector vectors.
|
FieldMatrix<T> |
FieldDecompositionSolver.getInverse() |
Get the inverse (or pseudo-inverse) of the decomposed matrix.
|
FieldMatrix<T> |
FieldLUDecomposition.getL() |
Returns the matrix L of the decomposition.
|
FieldMatrix<T> |
FieldLUDecomposition.getP() |
Returns the P rows permutation matrix.
|
FieldMatrix<T> |
FieldQRDecomposition.getQ() |
Returns the matrix Q of the decomposition.
|
FieldMatrix<T> |
FieldQRDecomposition.getQT() |
Returns the transpose of the matrix Q of the decomposition.
|
FieldMatrix<T> |
FieldQRDecomposition.getR() |
Returns the matrix R of the decomposition.
|
FieldMatrix<T> |
AbstractFieldMatrix.getRowMatrix(int row) |
Get the entries in row number
row
as a row matrix. |
FieldMatrix<T> |
BlockFieldMatrix.getRowMatrix(int row) |
Get the entries in row number
row
as a row matrix. |
FieldMatrix<T> |
FieldMatrix.getRowMatrix(int row) |
Get the entries in row number
row
as a row matrix. |
FieldMatrix<T> |
AbstractFieldMatrix.getSubMatrix(int[] selectedRows,
int[] selectedColumns) |
Get a submatrix.
|
FieldMatrix<T> |
AbstractFieldMatrix.getSubMatrix(int startRow,
int endRow,
int startColumn,
int endColumn) |
Get a submatrix.
|
FieldMatrix<T> |
Array2DRowFieldMatrix.getSubMatrix(int startRow,
int endRow,
int startColumn,
int endColumn) |
Get a submatrix.
|
FieldMatrix<T> |
BlockFieldMatrix.getSubMatrix(int startRow,
int endRow,
int startColumn,
int endColumn) |
Get a submatrix.
|
FieldMatrix<T> |
FieldMatrix.getSubMatrix(int[] selectedRows,
int[] selectedColumns) |
Get a submatrix.
|
FieldMatrix<T> |
FieldMatrix.getSubMatrix(int startRow,
int endRow,
int startColumn,
int endColumn) |
Get a submatrix.
|
FieldMatrix<T> |
FieldLUDecomposition.getU() |
Returns the matrix U of the decomposition.
|
FieldMatrix<Complex> |
ComplexEigenDecomposition.getV() |
Getter V.
|
FieldMatrix<Complex> |
ComplexEigenDecomposition.getVT() |
Getter VT.
|
FieldMatrix<Complex> |
OrderedComplexEigenDecomposition.getVT() |
Getter VT.
|
FieldMatrix<T> |
AbstractFieldMatrix.multiply(FieldMatrix<T> m) |
Postmultiply this matrix by
m . |
FieldMatrix<T> |
BlockFieldMatrix.multiply(FieldMatrix<T> m) |
Postmultiply this matrix by
m . |
FieldMatrix<T> |
FieldMatrix.multiply(FieldMatrix<T> m) |
Postmultiply this matrix by
m . |
FieldMatrix<T> |
Array2DRowFieldMatrix.multiplyTransposed(Array2DRowFieldMatrix<T> m) |
Returns the result of postmultiplying
this by m^T . |
FieldMatrix<T> |
Array2DRowFieldMatrix.multiplyTransposed(FieldMatrix<T> m) |
Returns the result of postmultiplying
this by m^T . |
default FieldMatrix<T> |
FieldMatrix.multiplyTransposed(FieldMatrix<T> m) |
Returns the result of postmultiplying
this by m^T . |
FieldMatrix<T> |
SparseFieldMatrix.multiplyTransposed(FieldMatrix<T> m) |
Returns the result of postmultiplying
this by m^T . |
FieldMatrix<T> |
ArrayFieldVector.outerProduct(ArrayFieldVector<T> v) |
Compute the outer product.
|
FieldMatrix<T> |
ArrayFieldVector.outerProduct(FieldVector<T> v) |
Compute the outer product.
|
FieldMatrix<T> |
FieldVector.outerProduct(FieldVector<T> v) |
Compute the outer product.
|
FieldMatrix<T> |
SparseFieldVector.outerProduct(FieldVector<T> v) |
Compute the outer product.
|
FieldMatrix<T> |
SparseFieldVector.outerProduct(SparseFieldVector<T> v) |
Optimized method to compute outer product when both vectors are sparse.
|
FieldMatrix<T> |
AbstractFieldMatrix.power(int p) |
Returns the result multiplying this with itself
p times. |
FieldMatrix<T> |
FieldMatrix.power(int p) |
Returns the result multiplying this with itself
p times. |
FieldMatrix<T> |
AbstractFieldMatrix.preMultiply(FieldMatrix<T> m) |
Premultiply this matrix by
m . |
FieldMatrix<T> |
FieldMatrix.preMultiply(FieldMatrix<T> m) |
Premultiply this matrix by
m . |
FieldMatrix<T> |
AbstractFieldMatrix.scalarAdd(T d) |
Increment each entry of this matrix.
|
FieldMatrix<T> |
BlockFieldMatrix.scalarAdd(T d) |
Increment each entry of this matrix.
|
FieldMatrix<T> |
FieldMatrix.scalarAdd(T d) |
Increment each entry of this matrix.
|
FieldMatrix<T> |
AbstractFieldMatrix.scalarMultiply(T d) |
Multiply each entry by
d . |
FieldMatrix<T> |
BlockFieldMatrix.scalarMultiply(T d) |
Multiply each entry by
d . |
FieldMatrix<T> |
FieldMatrix.scalarMultiply(T d) |
Multiply each entry by
d . |
FieldMatrix<T> |
FieldDecompositionSolver.solve(FieldMatrix<T> b) |
Solve the linear equation A × X = B for matrices A.
|
FieldMatrix<T> |
AbstractFieldMatrix.subtract(FieldMatrix<T> m) |
Subtract
m from this matrix. |
FieldMatrix<T> |
BlockFieldMatrix.subtract(FieldMatrix<T> m) |
Subtract
m from this matrix. |
FieldMatrix<T> |
FieldMatrix.subtract(FieldMatrix<T> m) |
Subtract
m from this matrix. |
FieldMatrix<T> |
AbstractFieldMatrix.transpose() |
Returns the transpose of this matrix.
|
FieldMatrix<T> |
BlockFieldMatrix.transpose() |
Returns the transpose of this matrix.
|
FieldMatrix<T> |
FieldMatrix.transpose() |
Returns the transpose of this matrix.
|
FieldMatrix<T> |
Array2DRowFieldMatrix.transposeMultiply(Array2DRowFieldMatrix<T> m) |
Returns the result of postmultiplying
this^T by m . |
FieldMatrix<T> |
Array2DRowFieldMatrix.transposeMultiply(FieldMatrix<T> m) |
Returns the result of postmultiplying
this^T by m . |
default FieldMatrix<T> |
FieldMatrix.transposeMultiply(FieldMatrix<T> m) |
Returns the result of postmultiplying
this^T by m . |
FieldMatrix<T> |
SparseFieldMatrix.transposeMultiply(FieldMatrix<T> m) |
Returns the result of postmultiplying
this^T by m . |
Modifier and Type | Method | Description |
---|---|---|
FieldMatrix<T> |
AbstractFieldMatrix.add(FieldMatrix<T> m) |
Compute the sum of this and m.
|
FieldMatrix<T> |
BlockFieldMatrix.add(FieldMatrix<T> m) |
Compute the sum of this and m.
|
FieldMatrix<T> |
FieldMatrix.add(FieldMatrix<T> m) |
Compute the sum of this and m.
|
static Array2DRowRealMatrix |
MatrixUtils.bigFractionMatrixToRealMatrix(FieldMatrix<BigFraction> m) |
|
protected void |
AbstractFieldMatrix.checkAdditionCompatible(FieldMatrix<T> m) |
Check if a matrix is addition compatible with the instance.
|
protected void |
AbstractFieldMatrix.checkMultiplicationCompatible(FieldMatrix<T> m) |
Check if a matrix is multiplication compatible with the instance.
|
protected void |
AbstractFieldMatrix.checkSubtractionCompatible(FieldMatrix<T> m) |
Check if a matrix is subtraction compatible with the instance.
|
protected void |
ComplexEigenDecomposition.findEigenVectors(FieldMatrix<Complex> matrix) |
Compute the eigen vectors using the inverse power method.
|
static Array2DRowRealMatrix |
MatrixUtils.fractionMatrixToRealMatrix(FieldMatrix<Fraction> m) |
|
FieldMatrix<T> |
AbstractFieldMatrix.multiply(FieldMatrix<T> m) |
Postmultiply this matrix by
m . |
FieldMatrix<T> |
BlockFieldMatrix.multiply(FieldMatrix<T> m) |
Postmultiply this matrix by
m . |
FieldMatrix<T> |
FieldMatrix.multiply(FieldMatrix<T> m) |
Postmultiply this matrix by
m . |
FieldMatrix<T> |
Array2DRowFieldMatrix.multiplyTransposed(FieldMatrix<T> m) |
Returns the result of postmultiplying
this by m^T . |
BlockFieldMatrix<T> |
BlockFieldMatrix.multiplyTransposed(FieldMatrix<T> m) |
Returns the result of postmultiplying
this by m^T . |
default FieldMatrix<T> |
FieldMatrix.multiplyTransposed(FieldMatrix<T> m) |
Returns the result of postmultiplying
this by m^T . |
FieldMatrix<T> |
SparseFieldMatrix.multiplyTransposed(FieldMatrix<T> m) |
Returns the result of postmultiplying
this by m^T . |
FieldMatrix<T> |
AbstractFieldMatrix.preMultiply(FieldMatrix<T> m) |
Premultiply this matrix by
m . |
FieldMatrix<T> |
FieldMatrix.preMultiply(FieldMatrix<T> m) |
Premultiply this matrix by
m . |
void |
AbstractFieldMatrix.setColumnMatrix(int column,
FieldMatrix<T> matrix) |
Set the entries in column number
column
as a column matrix. |
void |
BlockFieldMatrix.setColumnMatrix(int column,
FieldMatrix<T> matrix) |
Set the entries in column number
column
as a column matrix. |
void |
FieldMatrix.setColumnMatrix(int column,
FieldMatrix<T> matrix) |
Set the entries in column number
column
as a column matrix. |
void |
AbstractFieldMatrix.setRowMatrix(int row,
FieldMatrix<T> matrix) |
Set the entries in row number
row
as a row matrix. |
void |
BlockFieldMatrix.setRowMatrix(int row,
FieldMatrix<T> matrix) |
Set the entries in row number
row
as a row matrix. |
void |
FieldMatrix.setRowMatrix(int row,
FieldMatrix<T> matrix) |
Set the entries in row number
row
as a row matrix. |
FieldMatrix<T> |
FieldDecompositionSolver.solve(FieldMatrix<T> b) |
Solve the linear equation A × X = B for matrices A.
|
FieldMatrix<T> |
AbstractFieldMatrix.subtract(FieldMatrix<T> m) |
Subtract
m from this matrix. |
FieldMatrix<T> |
BlockFieldMatrix.subtract(FieldMatrix<T> m) |
Subtract
m from this matrix. |
FieldMatrix<T> |
FieldMatrix.subtract(FieldMatrix<T> m) |
Subtract
m from this matrix. |
FieldMatrix<T> |
Array2DRowFieldMatrix.transposeMultiply(FieldMatrix<T> m) |
Returns the result of postmultiplying
this^T by m . |
BlockFieldMatrix<T> |
BlockFieldMatrix.transposeMultiply(FieldMatrix<T> m) |
Returns the result of postmultiplying
this^T by m . |
default FieldMatrix<T> |
FieldMatrix.transposeMultiply(FieldMatrix<T> m) |
Returns the result of postmultiplying
this^T by m . |
FieldMatrix<T> |
SparseFieldMatrix.transposeMultiply(FieldMatrix<T> m) |
Returns the result of postmultiplying
this^T by m . |
Constructor | Description |
---|---|
FieldLUDecomposition(FieldMatrix<T> matrix) |
Calculates the LU-decomposition of the given matrix.
|
FieldQRDecomposition(FieldMatrix<T> matrix) |
Calculates the QR-decomposition of the given matrix.
|
FieldQRDecomposition(FieldMatrix<T> matrix,
T threshold) |
Calculates the QR-decomposition of the given matrix.
|
SparseFieldMatrix(FieldMatrix<T> other) |
Generic copy constructor.
|
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