+++ /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"
- "gonum.org/v1/gonum/blas/blas64"
-)
-
-// Dorg2l generates an m×n matrix Q with orthonormal columns which is defined
-// as the last n columns of a product of k elementary reflectors of order m.
-// Q = H_{k-1} * ... * H_1 * H_0
-// See Dgelqf for more information. It must be that m >= n >= k.
-//
-// tau contains the scalar reflectors computed by Dgeqlf. tau must have length
-// at least k, and Dorg2l will panic otherwise.
-//
-// work contains temporary memory, and must have length at least n. Dorg2l will
-// panic otherwise.
-//
-// Dorg2l is an internal routine. It is exported for testing purposes.
-func (impl Implementation) Dorg2l(m, n, k int, a []float64, lda int, tau, work []float64) {
- checkMatrix(m, n, a, lda)
- if len(tau) < k {
- panic(badTau)
- }
- if len(work) < n {
- panic(badWork)
- }
- if m < n {
- panic(mLTN)
- }
- if k > n {
- panic(kGTN)
- }
- if n == 0 {
- return
- }
-
- // Initialize columns 0:n-k to columns of the unit matrix.
- for j := 0; j < n-k; j++ {
- for l := 0; l < m; l++ {
- a[l*lda+j] = 0
- }
- a[(m-n+j)*lda+j] = 1
- }
-
- bi := blas64.Implementation()
- for i := 0; i < k; i++ {
- ii := n - k + i
-
- // Apply H_i to A[0:m-k+i, 0:n-k+i] from the left.
- a[(m-n+ii)*lda+ii] = 1
- impl.Dlarf(blas.Left, m-n+ii+1, ii, a[ii:], lda, tau[i], a, lda, work)
- bi.Dscal(m-n+ii, -tau[i], a[ii:], lda)
- a[(m-n+ii)*lda+ii] = 1 - tau[i]
-
- // Set A[m-k+i:m, n-k+i+1] to zero.
- for l := m - n + ii + 1; l < m; l++ {
- a[l*lda+ii] = 0
- }
- }
-}