List questions from matrix-calculus

Published on 11 Apr 2026 - 1:09

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Continuity of an "SVD" operator

Published on 11 Apr 2026 - 2:15

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Gradient of linear scalar field $X \mapsto \operatorname{tr}(AXB)$

Published on 30 Mar 2026 - 20:06

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Gradient of $A \mapsto \operatorname{trace} (A B A' C)$

Published on 31 Mar 2026 - 7:01

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Derivative of Quadratic Form

Published on 14 Apr 2026 - 10:22

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How to take the gradient of the quadratic form?

Published on 31 Mar 2026 - 10:13

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Practice with another $e^{At}$

Published on 08 Apr 2026 - 20:54

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Second order approximation of $\log \det X$

Published on 30 Mar 2026 - 22:33

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Differential and derivative of the trace of a matrix

Published on 04 Apr 2026 - 3:03

619

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Derivative of the off-diagonal $L_1$ matrix norm

Published on 14 Apr 2026 - 23:01

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How to transform between two layout forms of matrix calculus?

Published on 12 Apr 2026 - 11:37

299

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How to prove $B-A \succeq 0 \Leftrightarrow$ ellipsoid $x^TBx \leq 1$ contains $x^TAx \leq 1$?

Published on 25 Mar 2026 - 17:41

61

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How to transform $z$ into $\hat z$

Published on 10 Apr 2026 - 6:30

22

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matrix inequalities, bound $k$ in $\frac{d}{ds}K(s)+kK(s)\leq 0$

Published on 03 Aug 2020 - 14:15

103

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Gradient of $\ln(\|Ax\|_2^2)$

Published on 04 Aug 2020 - 16:40

List Question

Does the exponential of a matrix commute with the matrix?

Continuity of an "SVD" operator

Gradient of linear scalar field $X \mapsto \operatorname{tr}(AXB)$

Gradient of $A \mapsto \operatorname{trace} (A B A' C)$

Derivative of Quadratic Form

How to take the gradient of the quadratic form?

Practice with another $e^{At}$

Second order approximation of $\log \det X$

Differential and derivative of the trace of a matrix

Derivative of the off-diagonal $L_1$ matrix norm

How to transform between two layout forms of matrix calculus?

How to prove $B-A \succeq 0 \Leftrightarrow$ ellipsoid $x^TBx \leq 1$ contains $x^TAx \leq 1$?

How to transform $z$ into $\hat z$

matrix inequalities, bound $k$ in $\frac{d}{ds}K(s)+kK(s)\leq 0$

Gradient of $\ln(\|Ax\|_2^2)$

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