Merge pull request #201 from Bytom/v0.1

[bytom/vapor.git] / vendor / gonum.org / v1 / gonum / lapack / gonum / dgeql2.go

diff --git a/vendor/gonum.org/v1/gonum/lapack/gonum/dgeql2.go b/vendor/gonum.org/v1/gonum/lapack/gonum/dgeql2.go
deleted file mode 100644 (file)
index 6d9b741..0000000
--- a/vendor/gonum.org/v1/gonum/lapack/gonum/dgeql2.go
+++ /dev/null
@@ -1,45 +0,0 @@
-// 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"
-
-// Dgeql2 computes the QL factorization of the m×n matrix A. That is, Dgeql2
-// computes Q and L such that
-//  A = Q * L
-// where Q is an m×m orthonormal matrix and L is a lower trapezoidal matrix.
-//
-// Q is represented as a product of elementary reflectors,
-//  Q = H_{k-1} * ... * H_1 * H_0
-// where k = min(m,n) and each H_i has the form
-//  H_i = I - tau[i] * v_i * v_i^T
-// Vector v_i has v[m-k+i+1:m] = 0, v[m-k+i] = 1, and v[:m-k+i+1] is stored on
-// exit in A[0:m-k+i-1, n-k+i].
-//
-// tau must have length at least min(m,n), and Dgeql2 will panic otherwise.
-//
-// work is temporary memory storage and must have length at least n.
-//
-// Dgeql2 is an internal routine. It is exported for testing purposes.
-func (impl Implementation) Dgeql2(m, n int, a []float64, lda int, tau, work []float64) {
-       checkMatrix(m, n, a, lda)
-       if len(tau) < min(m, n) {
-               panic(badTau)
-       }
-       if len(work) < n {
-               panic(badWork)
-       }
-       k := min(m, n)
-       var aii float64
-       for i := k - 1; i >= 0; i-- {
-               // Generate elementary reflector H_i to annihilate A[0:m-k+i-1, n-k+i].
-               aii, tau[i] = impl.Dlarfg(m-k+i+1, a[(m-k+i)*lda+n-k+i], a[n-k+i:], lda)
-
-               // Apply H_i to A[0:m-k+i, 0:n-k+i-1] from the left.
-               a[(m-k+i)*lda+n-k+i] = 1
-               impl.Dlarf(blas.Left, m-k+i+1, n-k+i, a[n-k+i:], lda, tau[i], a, lda, work)
-               a[(m-k+i)*lda+n-k+i] = aii
-       }
-}