+++ /dev/null
-// Copyright ©2015 The Gonum Authors. All rights reserved.
-// Use of this source code is governed by a BSD-style
-// license that can be found in the LICENSE file.
-
-package gonum
-
-import (
- "gonum.org/v1/gonum/blas"
- "gonum.org/v1/gonum/blas/blas64"
-)
-
-// Dgetrs solves a system of equations using an LU factorization.
-// The system of equations solved is
-// A * X = B if trans == blas.Trans
-// A^T * X = B if trans == blas.NoTrans
-// A is a general n×n matrix with stride lda. B is a general matrix of size n×nrhs.
-//
-// On entry b contains the elements of the matrix B. On exit, b contains the
-// elements of X, the solution to the system of equations.
-//
-// a and ipiv contain the LU factorization of A and the permutation indices as
-// computed by Dgetrf. ipiv is zero-indexed.
-func (impl Implementation) Dgetrs(trans blas.Transpose, n, nrhs int, a []float64, lda int, ipiv []int, b []float64, ldb int) {
- checkMatrix(n, n, a, lda)
- checkMatrix(n, nrhs, b, ldb)
- if len(ipiv) < n {
- panic(badIpiv)
- }
- if n == 0 || nrhs == 0 {
- return
- }
- if trans != blas.Trans && trans != blas.NoTrans {
- panic(badTrans)
- }
- bi := blas64.Implementation()
- if trans == blas.NoTrans {
- // Solve A * X = B.
- impl.Dlaswp(nrhs, b, ldb, 0, n-1, ipiv, 1)
- // Solve L * X = B, updating b.
- bi.Dtrsm(blas.Left, blas.Lower, blas.NoTrans, blas.Unit,
- n, nrhs, 1, a, lda, b, ldb)
- // Solve U * X = B, updating b.
- bi.Dtrsm(blas.Left, blas.Upper, blas.NoTrans, blas.NonUnit,
- n, nrhs, 1, a, lda, b, ldb)
- return
- }
- // Solve A^T * X = B.
- // Solve U^T * X = B, updating b.
- bi.Dtrsm(blas.Left, blas.Upper, blas.Trans, blas.NonUnit,
- n, nrhs, 1, a, lda, b, ldb)
- // Solve L^T * X = B, updating b.
- bi.Dtrsm(blas.Left, blas.Lower, blas.Trans, blas.Unit,
- n, nrhs, 1, a, lda, b, ldb)
- impl.Dlaswp(nrhs, b, ldb, 0, n-1, ipiv, -1)
-}