Question

Jacobian matrix dimension problem?

score 259 · Answer 1 · 2015-04-03 14:53:31

259

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Jacobian matrix dimension problem?

Published on 03 Apr 2015 - 14:53

score 406 · Answer 2 · 2015-04-04 19:59:35

406

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Prove that $\nabla_X tr(X^TAX)= (A+A^T)X $ where $A \in \mathbb{C^{mm}}$ and $X \in \mathbb{R^{mn}}$

Published on 04 Apr 2015 - 19:59

score 4.4k · Answer 3 · 2015-04-05 13:02:22

4.4k

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Why $\max \left\{ {{x^T}Ax:x \in {R^n},{x^T}x = 1} \right\}$ is the largest real eigenvalue of A?

Published on 05 Apr 2015 - 13:02

score 65 · Answer 4 · 2026-03-31 05:42:40

65

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Prove that $\nabla_X tr(X^TB)= B $ where $B \in \mathbb{C^{mn}}$ and $X \in \mathbb{R^{mn}} $

Published on 31 Mar 2026 - 5:42

score 708 · Answer 5 · 2015-04-06 16:17:32

708

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Rules for derivatives of matrices/tensors

Published on 06 Apr 2015 - 16:17

score 73 · Answer 6 · 2015-04-07 12:21:37

73

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Bounding $x^\top Ay/x^\top y$

Published on 07 Apr 2015 - 12:21

score 125 · Answer 7 · 2015-04-07 16:54:12

125

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differentiation of a matrix function

Published on 07 Apr 2015 - 16:54

score 531 · Answer 8 · 2026-03-27 21:23:37

531

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Differentiating matrix exponential

Published on 27 Mar 2026 - 21:23

score 125 · Answer 9 · 2015-04-08 12:38:11

125

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What is the meaning of Lagrange Multiplier in this formula?

Published on 08 Apr 2015 - 12:38

score 106 · Answer 10 · 2015-04-08 14:35:37

106

Views

How to compute $\frac{\partial(Z(x)^{-1}f(x))}{\partial x}$

Published on 08 Apr 2015 - 14:35

score 1.1k · Answer 11 · 2015-04-08 16:24:19

1.1k

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i'm looking for a proof of derivative of an inverse matrix

Published on 08 Apr 2015 - 16:24

score 595 · Answer 12 · 2015-04-09 21:12:07

595

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Derivative of a function with respect to a matrix

Published on 09 Apr 2015 - 21:12

score 25 · Answer 13 · 2015-04-10 08:14:04

25

Views

matrix derivative of $X^{1/2}C(X^{1/2})'$ with respect to $X$?

Published on 10 Apr 2015 - 8:14

score 23 · Answer 14 · 2015-04-10 13:07:28

23

Views

Creating a matrix so its Euclidean norm (p=2) is < 1

Published on 10 Apr 2015 - 13:07

score 83 · Answer 15 · 2015-04-10 15:44:31

How to prove $ \frac{1}{A+B} = \frac{1}{A} - \frac{1}{A} B \frac{1}{A} + \frac{1}{A}B \frac{1}{A}B \frac{1}{A} + \cdots $?

List Question

Jacobian matrix dimension problem?

Prove that $\nabla_X tr(X^TAX)= (A+A^T)X $ where $A \in \mathbb{C^{mm}}$ and $X \in \mathbb{R^{mn}}$

Why $\max \left\{ {{x^T}Ax:x \in {R^n},{x^T}x = 1} \right\}$ is the largest real eigenvalue of A?

Prove that $\nabla_X tr(X^TB)= B $ where $B \in \mathbb{C^{mn}}$ and $X \in \mathbb{R^{mn}} $

Rules for derivatives of matrices/tensors

Bounding $x^\top Ay/x^\top y$

differentiation of a matrix function

Differentiating matrix exponential

What is the meaning of Lagrange Multiplier in this formula?

How to compute $\frac{\partial(Z(x)^{-1}f(x))}{\partial x}$

i'm looking for a proof of derivative of an inverse matrix

Derivative of a function with respect to a matrix

matrix derivative of $X^{1/2}C(X^{1/2})'$ with respect to $X$?

Creating a matrix so its Euclidean norm (p=2) is < 1

How to prove $ \frac{1}{A+B} = \frac{1}{A} - \frac{1}{A} B \frac{1}{A} + \frac{1}{A}B \frac{1}{A}B \frac{1}{A} + \cdots $?

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