org.jutil.math.matrix
Interface LUDecomposition

All Known Implementing Classes:

DefaultLUDecomposition

public interface LUDecomposition

This class represents an LU factorization of a matrix.

P*A = L*U

Version:

$Revision: 1.3 $

Author:

Marko van Dooren

Field Summary

static java.lang.String

CVS_REVISION

Method Summary

Matrix	L() private invariant L().sameDimensions(U()); private invariant P().sameDimensions(U()); public behavior post \result != null; post \result.isSquare(); post \result.isLowerTriangular(); post (\forall int i; i>=1 && i<=\result.getNbColumns(); elementAt(i,i) == 1); Return the L matrix of this LU factorization.
Matrix	P() public behavior post \result != null; post \result.isPermutationMatrix(); Return the P matrix of this LU factorization.
Matrix	U() public behavior post \result != null; post \result.isSquare(); post \result.isUpperTriangular(); Return the U matrix of this LU factorization.

Field Detail

CVS_REVISION

public static final java.lang.String CVS_REVISION

Method Detail

L

public Matrix L()

private invariant L().sameDimensions(U());
private invariant P().sameDimensions(U());

public behavior

post \result != null;
post \result.isSquare();
post \result.isLowerTriangular();
post (\forall int i; i>=1 && i<=\result.getNbColumns();
elementAt(i,i) == 1);
Return the L matrix of this LU factorization.

U

public Matrix U()

public behavior

post \result != null;
post \result.isSquare();
post \result.isUpperTriangular();
Return the U matrix of this LU factorization.

P

public Matrix P()

public behavior

post \result != null;
post \result.isPermutationMatrix();
Return the P matrix of this LU factorization.