cavis/libnd4j/include/helpers/FullPivLU.h

53 lines
1.4 KiB
C++

/*******************************************************************************
* Copyright (c) 2020 Konduit K.K.
*
* This program and the accompanying materials are made available under the
* terms of the Apache License, Version 2.0 which is available at
* https://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.
*
* SPDX-License-Identifier: Apache-2.0
******************************************************************************/
//
// @author Yurii Shyrma (iuriish@yahoo.com)
//
#ifndef LIBND4J_FULLPIVLU_H
#define LIBND4J_FULLPIVLU_H
#include <array/NDArray.h>
namespace sd {
namespace ops {
namespace helpers {
// class solves equation A*x = b for x, by procedure of LU decomposition of input matrix A with complete pivoting
// LU decomposition of a matrix is:
// A = P^-1 * L * U * Q^-1
// L is unit-lower-triangular,
// U is upper-triangular,
// and P and Q are permutation matrices for rows and columns correspondingly
template <typename T>
class FullPivLU {
public:
// A{M,K} * x{K,N} = b{M,N}
static void solve(const NDArray& A, const NDArray& b, NDArray& x);
};
}
}
}
#endif //LIBND4J_FULLPIVLU_H