Package org.flag4j.operations.dense.complex

Class ComplexDenseDeterminant

java.lang.Object

org.flag4j.operations.dense.complex.ComplexDenseDeterminant

public final class ComplexDenseDeterminant
extends Object

This class contains methods for computing the determinant of a complex dense matrix.

Constructor Summary

Constructors

Modifier	Constructor	Description
private	ComplexDenseDeterminant()

Method Summary

Modifier and Type	Method	Description
static CNumber	det(CMatrix A)	Computes the determinant of a square matrix using the LU factorization.
static CNumber	det1(CMatrix A)	Explicitly computes the determinant of a 1x1 matrix.
static CNumber	det2(CMatrix A)	Explicitly computes the determinant of a 2x2 matrix.
static CNumber	det3(CMatrix A)	Explicitly computes the determinant of a 3x3 matrix.
static CNumber	detLU(CMatrix A)	Computes the determinant of a square matrix using the LU factorization.
static CNumber	detTri(CMatrix T)	Computes the determinant of a triangular matrix.

Methods inherited from class java.lang.Object

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

Constructor Details

ComplexDenseDeterminant

private ComplexDenseDeterminant()

Method Details

det

public static CNumber det(CMatrix A)

Computes the determinant of a square matrix using the LU factorization.

Parameters:

A - Matrix to compute the determinant of.

Returns:

The determinant of the matrix.

Throws:

IllegalArgumentException - If matrix is not square.

detLU

public static CNumber detLU(CMatrix A)

Computes the determinant of a square matrix using the LU factorization.

Parameters:

A - Matrix to compute the determinant of.

Returns:

The determinant of the matrix.

Throws:

IllegalArgumentException - If matrix is not square.

detTri

public static CNumber detTri(CMatrix T)

Computes the determinant of a triangular matrix.

Parameters:

T - Triangular matrix.

Returns:

The determinant of the triangular matrix T.

det3

public static CNumber det3(CMatrix A)

Explicitly computes the determinant of a 3x3 matrix.

Parameters:

A - Matrix to compute the determinant of.

Returns:

The determinant of the 3x3 matrix.

det2

public static CNumber det2(CMatrix A)

Explicitly computes the determinant of a 2x2 matrix.

Parameters:

A - Matrix to compute the determinant of.

Returns:

The determinant of the 2x2 matrix.

det1

public static CNumber det1(CMatrix A)

Explicitly computes the determinant of a 1x1 matrix.

Parameters:

A - Matrix to compute the determinant of.

Returns:

The determinant of the 1x1 matrix.