+++ /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"
-
-// Dgelq2 computes the LQ factorization of the m×n matrix A.
-//
-// In an LQ factorization, L is a lower triangular m×n matrix, and Q is an n×n
-// orthonormal matrix.
-//
-// a is modified to contain the information to construct L and Q.
-// The lower triangle of a contains the matrix L. The upper triangular elements
-// (not including the diagonal) contain the elementary reflectors. tau is modified
-// to contain the reflector scales. tau must have length of at least k = min(m,n)
-// and this function will panic otherwise.
-//
-// See Dgeqr2 for a description of the elementary reflectors and orthonormal
-// matrix Q. Q is constructed as a product of these elementary reflectors,
-// Q = H_{k-1} * ... * H_1 * H_0.
-//
-// work is temporary storage of length at least m and this function will panic otherwise.
-//
-// Dgelq2 is an internal routine. It is exported for testing purposes.
-func (impl Implementation) Dgelq2(m, n int, a []float64, lda int, tau, work []float64) {
- checkMatrix(m, n, a, lda)
- k := min(m, n)
- if len(tau) < k {
- panic(badTau)
- }
- if len(work) < m {
- panic(badWork)
- }
- for i := 0; i < k; i++ {
- a[i*lda+i], tau[i] = impl.Dlarfg(n-i, a[i*lda+i], a[i*lda+min(i+1, n-1):], 1)
- if i < m-1 {
- aii := a[i*lda+i]
- a[i*lda+i] = 1
- impl.Dlarf(blas.Right, m-i-1, n-i,
- a[i*lda+i:], 1,
- tau[i],
- a[(i+1)*lda+i:], lda,
- work)
- a[i*lda+i] = aii
- }
- }
-}