Package org.flag4j.linalg

Class Condition

java.lang.Object

org.flag4j.linalg.Condition

public class Condition
extends Object

Utility class for computing the condition number of a matrix.

Constructor Summary

Constructors

Modifier	Constructor	Description
private	Condition()

Method Summary

Modifier and Type	Method	Description
static double	cond(CMatrix src)	Computes the condition number of this matrix using the 2-norm.
static double	cond(CMatrix src, double p)	Computes the condition number of this matrix using a specified norm.
static double	cond(Matrix src)	Computes the condition number of this matrix using the 2-norm.
static double	cond(Matrix src, double p)	Computes the condition number of this matrix using a specified norm.

Methods inherited from class java.lang.Object

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

Constructor Details

Condition

private Condition()

Method Details

cond

public static double cond(Matrix src)

Computes the condition number of this matrix using the 2-norm. Specifically, the condition number is computed as the norm of this matrix multiplied by the norm of the inverse of this matrix.

Parameters:

src - Matrix to compute the condition number of.

Returns:

The condition number of this matrix (Assuming 2-norm). This value may be infinite.

cond

public static double cond(Matrix src,
 double p)

Computes the condition number of this matrix using a specified norm. The condition number of a matrix is defined as the norm of a matrix multiplied by the norm of the inverse of the matrix.

Parameters:

src - Matrix to compute the condition number of.

p - Specifies the order of the norm to be used when computing the condition number. Common p values include:
- p = Double.POSITIVE_INFINITY, MatrixNorms.infNorm(Matrix).
- p = 2, The standard matrix 2-norm (the largest singular value).
- p = -2, The Smallest singular value.
- p = 1, Maximum absolute row sum.

Returns:

The condition number of this matrix using the specified norm. This value may be infinite.

cond

public static double cond(CMatrix src)

Computes the condition number of this matrix using the 2-norm. Specifically, the condition number is computed as the norm of this matrix multiplied by the norm of the inverse of this matrix.

Parameters:

src - Matrix to compute the condition number of.

Returns:

The condition number of this matrix (Assuming 2-norm). This value may be infinite.

cond

public static double cond(CMatrix src,
 double p)

Computes the condition number of this matrix using a specified norm. The condition number of a matrix is defined as the norm of a matrix multiplied by the norm of the inverse of the matrix.

Parameters:

src - Matrix to compute the condition number of.

p - Specifies the order of the norm to be used when computing the condition number. Common p values include:
- p = Double.POSITIVE_INFINITY, MatrixNorms.infNorm(CMatrix).
- p = 2, The standard matrix 2-norm (the largest singular value).
- p = -2, The Smallest singular value.
- p = 1, Maximum absolute row sum.

Returns:

The condition number of this matrix using the specified norm. This value may be infinite.