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How can I calculate the gradient of the product of a matrix and a vector?

score 93 · Answer 1 · 2026-04-14 18:25:05

93

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How can I calculate the gradient of the product of a matrix and a vector?

Published on 14 Apr 2026 - 18:25

score 2.9k · Answer 2 · 2026-04-11 07:17:13

2.9k

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score 224 · Answer 3 · 2026-04-17 12:59:39

224

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Published on 17 Apr 2026 - 12:59

score 103 · Answer 4 · 2026-04-12 14:03:11

103

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How to optimize $ f(X)= \| X-M||_F^2 \\ $ with constraint $\sigma_{k+1}(X) \le a $

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score 426 · Answer 5 · 2026-04-11 09:48:22

426

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score 82 · Answer 6 · 2026-04-09 19:47:08

82

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Published on 09 Apr 2026 - 19:47

score 30 · Answer 7 · 2026-04-16 18:50:40

Prove that $f(\alpha)=\sin^{-1}(n\sin(\alpha))+\sin^{-1}(n\sin(\varphi-\alpha))-\varphi$ has an extremum at $\alpha=\frac{\varphi}{2}$

score 869 · Answer 8 · 2026-04-12 22:07:33

869

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A matrix calculus problem in backpropagation encountered when studying Deep Learning

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score 3.9k · Answer 9 · 2026-04-11 15:13:20

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score 1.6k · Answer 10 · 2026-04-08 21:03:08

1.6k

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score 46 · Answer 11 · 2026-04-16 14:41:32

46

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Follow a circumference path with a constraint

Published on 16 Apr 2026 - 14:41

score 125 · Answer 12 · 2026-03-26 04:21:27

125

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score 21 · Answer 13 · 2026-03-26 04:21:39

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score 157 · Answer 14 · 2026-03-26 15:54:02

157

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Published on 26 Mar 2026 - 15:54

score 65 · Answer 15 · 2026-04-10 16:17:50

65

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Published on 10 Apr 2026 - 16:17

List Question

How can I calculate the gradient of the product of a matrix and a vector?

Elasticity of Demand:How to Calculate Maximum Revenue

Lagrangian relaxation

How to optimize $ f(X)= \| X-M||_F^2 \\ $ with constraint $\sigma_{k+1}(X) \le a $

Maximizing the total number of feasible constraints of a linear program

How to take derivative of Ky Fan $k$ norms of a matrix $A$: $\frac{\partial\|A\|_k}{\partial A}$

Prove that $f(\alpha)=\sin^{-1}(n\sin(\alpha))+\sin^{-1}(n\sin(\varphi-\alpha))-\varphi$ has an extremum at $\alpha=\frac{\varphi}{2}$

A matrix calculus problem in backpropagation encountered when studying Deep Learning

How to prove the inverse image of affine convex function is still a convex?

Explanation of Proof of Second-Derivative Test for Local Extrema

Follow a circumference path with a constraint

Trying to formulate optimization problems as a linear program (LP) or a quadratic program (QP)

need help (or literature) with an optimization problem

PCA formulation: Find the best rank-$k$ subspace of $d$-dimensional space

Relationship between optimality and feasibility

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