ch.javasoft.smx.ops.matrix
Class ExtendedIntDoubleOperations

java.lang.Object
  ch.javasoft.smx.ops.matrix.ExtendedIntDoubleOperations

All Implemented Interfaces:

ExtendedMatrixOperations<Integer,Double>

public class ExtendedIntDoubleOperations
extends Object
implements ExtendedMatrixOperations<Integer,Double>

Constructor Summary

ExtendedIntDoubleOperations(double tolerance)

ExtendedIntDoubleOperations(Zero zero)

Method Summary

Gauss	getGauss()
Zero	getZero()
ReadableMatrix<Double>	invert(ReadableMatrix<Integer> mx) Returns the matrix inverse of a square matrix mx, that is, a matrix res = null(mx), such that
int	nullity(ReadableMatrix<Integer> mx) Returns the nullity of the given matrix, that is, the dimension of the nullspace of mx.
ReadableMatrix<Double>	nullspace(ReadableMatrix<Integer> mx) Returns a basis for the kernel (or nullspace) of mx, that is, a matrix res, such that it spans the nullspace:
int	rank(ReadableMatrix<Integer> mx) Returns the rank of the given matrix.

Methods inherited from class java.lang.Object

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

Constructor Detail

ExtendedIntDoubleOperations

public ExtendedIntDoubleOperations(Zero zero)

ExtendedIntDoubleOperations

public ExtendedIntDoubleOperations(double tolerance)

Method Detail

getZero

public Zero getZero()

getGauss

public Gauss getGauss()

rank

public int rank(ReadableMatrix<Integer> mx)

Description copied from interface: ExtendedMatrixOperations

Returns the rank of the given matrix.

Usually, Gaussian elimination is used to compute the rank

Specified by:

rank in interface ExtendedMatrixOperations<Integer,Double>

nullity

public int nullity(ReadableMatrix<Integer> mx)

Description copied from interface: ExtendedMatrixOperations

Returns the nullity of the given matrix, that is, the dimension of the nullspace of mx. Note that by the rank-nullity theorem,

   rank(mx) + nullity(mx) = n
 

where n is the number of columns of mx.

Usually, Gaussian elimination is used to compute the nullity.

Specified by:

nullity in interface ExtendedMatrixOperations<Integer,Double>

invert

public ReadableMatrix<Double> invert(ReadableMatrix<Integer> mx)

Description copied from interface: ExtendedMatrixOperations

Returns the matrix inverse of a square matrix mx, that is, a matrix res = null(mx), such that

   mx * res = I
 

where I is the identity matrix.

Usually, Gaussian elimination is used to compute the inverse matrix.

Specified by:

invert in interface ExtendedMatrixOperations<Integer,Double>

nullspace

public ReadableMatrix<Double> nullspace(ReadableMatrix<Integer> mx)

Description copied from interface: ExtendedMatrixOperations

Returns a basis for the kernel (or nullspace) of mx, that is, a matrix res, such that it spans the nullspace:

   span(res) = null(mx) = { x : mx * x = 0}
 

Usually, Gaussian elimination is used to compute the kernel matrix.

Specified by:

nullspace in interface ExtendedMatrixOperations<Integer,Double>