Class ComplexLU

java.lang.Object

org.flag4j.linalg.decompositions.lu.LU<CMatrix>

org.flag4j.linalg.decompositions.lu.ComplexLU

All Implemented Interfaces:

Decomposition<CMatrix>

public class ComplexLU
extends LU<CMatrix>

Complex128his class provides methods for computing the LU decomposition of a complex dense matrix.

Complex128he following decompositions are provided: A=LU, PA=LU, and PAQ=LU.

Nested Class Summary

Nested classes/interfaces inherited from class org.flag4j.linalg.decompositions.lu.LU

LU.Pivoting

Field Summary

Fields inherited from class org.flag4j.linalg.decompositions.lu.LU

colSwaps, LU, numColSwaps, numRowSwaps, P, pivotFlag, Q, rowSwaps, zeroPivotTol

Constructor Summary

Constructors

Constructor	Description
ComplexLU()	Constructs a LU decomposer to decompose the specified matrix using partial pivoting.
ComplexLU(LU.Pivoting pivoting)	Constructs a LU decomposer to decompose the specified matrix.
ComplexLU(LU.Pivoting pivoting, double zeroPivotTol)	Constructs a LU decomposer to decompose the specified matrix.

Method Summary

Modifier and Type	Method	Description
protected void	fullPivot()	Computes the LU decomposition using full/rook pivoting (i.e. row and column swapping).
CMatrix	getL()	Gets the unit lower triangular matrix of the decomposition.
CMatrix	getU()	Gets the upper triangular matrix of the decomposition.
protected void	initLU(CMatrix src)	Initializes the LU matrix by copying the source matrix to decompose.
protected void	noPivot()	Computes the LU decomposition using no pivoting (i.e. rows and columns are not swapped).
protected void	partialPivot()	Computes the LU decomposition using partial pivoting (i.e. row swapping).

Methods inherited from class org.flag4j.linalg.decompositions.lu.LU

decompose, getLU, getNumColSwaps, getNumRowSwaps, getP, getQ, swapCols, swapRows

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details

ComplexLU

public ComplexLU()

Constructs a LU decomposer to decompose the specified matrix using partial pivoting.

ComplexLU

public ComplexLU(LU.Pivoting pivoting)

Constructs a LU decomposer to decompose the specified matrix.

Parameters:

pivoting - Pivoting to use in the LU decomposition.

ComplexLU

public ComplexLU(LU.Pivoting pivoting,
 double zeroPivotTol)

Constructs a LU decomposer to decompose the specified matrix.

Parameters:

pivoting - Pivoting to use. If pivoting is 2, full pivoting will be used. If pivoting is 1, partial pivoting will be used. If pivoting is any other value, no pivoting will be used.

zeroPivotTol - Value for determining if a zero pivot value is detected when computing the LU decomposition with no pivoting. If a pivot value (value along the principle diagonal of U) is within this tolerance from zero, then an exception will be thrown if solving with no pivoting.

Method Details

initLU

protected void initLU(CMatrix src)

Initializes the LU matrix by copying the source matrix to decompose.

Specified by:

initLU in class LU<CMatrix>

Parameters:

src - Source matrix to decompose.

noPivot

protected void noPivot()

Computes the LU decomposition using no pivoting (i.e. rows and columns are not swapped).

Specified by:

noPivot in class LU<CMatrix>

partialPivot

protected void partialPivot()

Computes the LU decomposition using partial pivoting (i.e. row swapping).

Specified by:

partialPivot in class LU<CMatrix>

fullPivot

protected void fullPivot()

Computes the LU decomposition using full/rook pivoting (i.e. row and column swapping).

Specified by:

fullPivot in class LU<CMatrix>

getL

public CMatrix getL()

Gets the unit lower triangular matrix of the decomposition.

Specified by:

getL in class LU<CMatrix>

Returns:

Complex128he lower triangular matrix of the decomposition.

getU

public CMatrix getU()

Gets the upper triangular matrix of the decomposition.

Specified by:

getU in class LU<CMatrix>

Returns:

Complex128he lower triangular matrix of the decomposition.