Package org.flag4j.operations.dense.real

Class RealDenseDeterminant

java.lang.Object

org.flag4j.operations.dense.real.RealDenseDeterminant

public class RealDenseDeterminant
extends Object

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

Constructor Summary

Constructors

Modifier	Constructor	Description
private	RealDenseDeterminant()

Method Summary

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

Methods inherited from class java.lang.Object

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

Constructor Details

RealDenseDeterminant

private RealDenseDeterminant()

Method Details

det

public static double det(Matrix 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 double detLU(Matrix 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.

det3

public static double det3(Matrix 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 double det2(Matrix 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 double det1(Matrix A)

Explicitly computes the determinant of a 1x1 matrix.

Parameters:

A - Matrix to compute the determinant of.

Returns:

The determinant of the 1x1 matrix.

detTri

public static double detTri(Matrix A)

Computes the determinant for a triangular matrix. This method does not check that the matrix is actually triangular.

Parameters:

A - Triangular matrix.

Returns:

The determinant of the triangular matrix.