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blas,lapack: clean up docs and comments

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Apply (with manual curation after the fact):
* s/^T/U+1d40/g
* s/^H/U+1d34/g
* s/, {2,3}if / $1/g

Some additional manual editing of odd formatting.
This commit is contained in:
Dan Kortschak
2019-09-03 13:46:38 +09:30
parent 2065cbd6b4
commit 17ea55aedb
164 changed files with 949 additions and 949 deletions
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6
optimize/bfgs.go
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@@ -157,10 +157,10 @@ func (b *BFGS) NextDirection(loc *Location, dir []float64) (stepSize float64) {
// Update the inverse Hessian according to the formula
//
// B_{k+1}^-1 = B_k^-1
// + (s_k^T y_k + y_k^T B_k^-1 y_k) / (s_k^T y_k)^2 * (s_k s_k^T)
// - (B_k^-1 y_k s_k^T + s_k y_k^T B_k^-1) / (s_k^T y_k).
// + (s_kᵀ y_k + y_kᵀ B_k^-1 y_k) / (s_kᵀ y_k)^2 * (s_k s_kᵀ)
// - (B_k^-1 y_k s_kᵀ + s_k y_kᵀ B_k^-1) / (s_kᵀ y_k).
//
// Note that y_k^T B_k^-1 y_k is a scalar, and that the third term is a
// Note that y_kᵀ B_k^-1 y_k is a scalar, and that the third term is a
// rank-two update where B_k^-1 y_k is one vector and s_k is the other.
yBy := mat.Inner(&b.y, b.invHess, &b.y)
b.tmp.MulVec(b.invHess, &b.y)