+++ /dev/null
-// Copyright ©2016 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/blas64"
- "gonum.org/v1/gonum/lapack"
-)
-
-// Dgebak updates an n×m matrix V as
-// V = P D V, if side == lapack.RightEV,
-// V = P D^{-1} V, if side == lapack.LeftEV,
-// where P and D are n×n permutation and scaling matrices, respectively,
-// implicitly represented by job, scale, ilo and ihi as returned by Dgebal.
-//
-// Typically, columns of the matrix V contain the right or left (determined by
-// side) eigenvectors of the balanced matrix output by Dgebal, and Dgebak forms
-// the eigenvectors of the original matrix.
-//
-// Dgebak is an internal routine. It is exported for testing purposes.
-func (impl Implementation) Dgebak(job lapack.Job, side lapack.EVSide, n, ilo, ihi int, scale []float64, m int, v []float64, ldv int) {
- switch job {
- default:
- panic(badJob)
- case lapack.None, lapack.Permute, lapack.Scale, lapack.PermuteScale:
- }
- switch side {
- default:
- panic(badEVSide)
- case lapack.LeftEV, lapack.RightEV:
- }
- checkMatrix(n, m, v, ldv)
- switch {
- case ilo < 0 || max(0, n-1) < ilo:
- panic(badIlo)
- case ihi < min(ilo, n-1) || n <= ihi:
- panic(badIhi)
- }
-
- // Quick return if possible.
- if n == 0 || m == 0 || job == lapack.None {
- return
- }
-
- bi := blas64.Implementation()
- if ilo != ihi && job != lapack.Permute {
- // Backward balance.
- if side == lapack.RightEV {
- for i := ilo; i <= ihi; i++ {
- bi.Dscal(m, scale[i], v[i*ldv:], 1)
- }
- } else {
- for i := ilo; i <= ihi; i++ {
- bi.Dscal(m, 1/scale[i], v[i*ldv:], 1)
- }
- }
- }
- if job == lapack.Scale {
- return
- }
- // Backward permutation.
- for i := ilo - 1; i >= 0; i-- {
- k := int(scale[i])
- if k == i {
- continue
- }
- bi.Dswap(m, v[i*ldv:], 1, v[k*ldv:], 1)
- }
- for i := ihi + 1; i < n; i++ {
- k := int(scale[i])
- if k == i {
- continue
- }
- bi.Dswap(m, v[i*ldv:], 1, v[k*ldv:], 1)
- }
-}