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native: zero index elementary reflectors

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This commit is contained in:
Vladimir Chalupecky
2016-04-15 11:58:58 +09:00
parent 2b99360bb5
commit aa7baaf8d1
4 changed files with 17 additions and 15 deletions
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8
native/dlabrd.go
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@@ -22,11 +22,11 @@ import (
// elements, and e are the off-diagonal elements.
//
// The matrices Q and P are products of elementary reflectors
// Q = H_1 * H_2 * ... * H_nb
// P = G_1 * G_2 * ... * G_nb
// Q = H(0) * H(1) ... H(nb-1)
// P = G(0) * G(1) ... G(nb-1)
// where
// H_i = I - tauQ[i] * v_i * v_i^T
// G_i = I - tauP[i] * u_i * u_i^T
// H(i) = I - tauQ[i] * v_i * v_i^T
// G(i) = I - tauP[i] * u_i * u_i^T
//
// As an example, on exit the entries of A when m = 6, n = 5, and nb = 2
// [ 1 1 u1 u1 u1]