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all: switch to subscript+brace notation for elementary reflectors

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This commit is contained in:
Vladimir Chalupecky
2016-04-18 11:36:13 +09:00
parent cae2fd60d5
commit 88aa36bca1
20 changed files with 71 additions and 71 deletions
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4
native/dorg2l.go
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@@ -11,7 +11,7 @@ import (
// 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)
// 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
@@ -51,7 +51,7 @@ func (impl Implementation) Dorg2l(m, n, k int, a []float64, lda int, tau, work [
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.
// 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)