org.ejml.interfaces.decomposition.CholeskyDecomposition Maven / Gradle / Ivy
/*
* Copyright (c) 2009-2014, Peter Abeles. All Rights Reserved.
*
* This file is part of Efficient Java Matrix Library (EJML).
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package org.ejml.interfaces.decomposition;
import org.ejml.data.DenseMatrix64F;
import org.ejml.data.Matrix64F;
/**
*
* Cholesky decomposition for {@link DenseMatrix64F}.
*
*
* A Cholesky decomposition decomposes positive-definite symmetric matrices into either upper or
* lower triangles:
*
* L*LT=A
* RT*R=A
*
* where L is a lower triangular matrix and R is an upper triangular matrix. This is typically
* used to invert matrices, such as a covariance matrix.
*
*
* @see org.ejml.alg.dense.decomposition.chol.CholeskyDecompositionInner_D64
* @see org.ejml.alg.dense.decomposition.chol.CholeskyDecompositionBlock_D64
*
* @author Peter Abeles
*/
public interface CholeskyDecomposition
extends DecompositionInterface {
/**
* If true the decomposition was for a lower triangular matrix.
* If false it was for an upper triangular matrix.
*
* @return True if lower, false if upper.
*/
public boolean isLower();
/**
*
* Returns the triangular matrix from the decomposition.
*
*
*
* If an input is provided that matrix is used to write the results to.
* Otherwise a new matrix is created and the results written to it.
*
*
* @param T If not null then the decomposed matrix is written here.
* @return A lower or upper triangular matrix.
*/
public MatrixType getT( MatrixType T );
}