+++ /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"
-)
-
-// Dtrtri computes the inverse of a triangular matrix, storing the result in place
-// into a. This is the BLAS level 3 version of the algorithm which builds upon
-// Dtrti2 to operate on matrix blocks instead of only individual columns.
-//
-// Dtrtri will not perform the inversion if the matrix is singular, and returns
-// a boolean indicating whether the inversion was successful.
-func (impl Implementation) Dtrtri(uplo blas.Uplo, diag blas.Diag, n int, a []float64, lda int) (ok bool) {
- checkMatrix(n, n, a, lda)
- if uplo != blas.Upper && uplo != blas.Lower {
- panic(badUplo)
- }
- if diag != blas.NonUnit && diag != blas.Unit {
- panic(badDiag)
- }
- if n == 0 {
- return false
- }
- nonUnit := diag == blas.NonUnit
- if nonUnit {
- for i := 0; i < n; i++ {
- if a[i*lda+i] == 0 {
- return false
- }
- }
- }
-
- bi := blas64.Implementation()
-
- nb := impl.Ilaenv(1, "DTRTRI", "UD", n, -1, -1, -1)
- if nb <= 1 || nb > n {
- impl.Dtrti2(uplo, diag, n, a, lda)
- return true
- }
- if uplo == blas.Upper {
- for j := 0; j < n; j += nb {
- jb := min(nb, n-j)
- bi.Dtrmm(blas.Left, blas.Upper, blas.NoTrans, diag, j, jb, 1, a, lda, a[j:], lda)
- bi.Dtrsm(blas.Right, blas.Upper, blas.NoTrans, diag, j, jb, -1, a[j*lda+j:], lda, a[j:], lda)
- impl.Dtrti2(blas.Upper, diag, jb, a[j*lda+j:], lda)
- }
- return true
- }
- nn := ((n - 1) / nb) * nb
- for j := nn; j >= 0; j -= nb {
- jb := min(nb, n-j)
- if j+jb <= n-1 {
- bi.Dtrmm(blas.Left, blas.Lower, blas.NoTrans, diag, n-j-jb, jb, 1, a[(j+jb)*lda+j+jb:], lda, a[(j+jb)*lda+j:], lda)
- bi.Dtrsm(blas.Right, blas.Lower, blas.NoTrans, diag, n-j-jb, jb, -1, a[j*lda+j:], lda, a[(j+jb)*lda+j:], lda)
- }
- impl.Dtrti2(blas.Lower, diag, jb, a[j*lda+j:], lda)
- }
- return true
-}