List questions from matrix-calculus

Published on 30 May 2019 - 16:44

131

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Chain rule for [scalar to matrix to scalar]

Published on 31 May 2019 - 15:36

245

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Matrix differentiation involving exponential term

Published on 25 Mar 2026 - 2:57

122

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Integral of $M^TM$ for matrix $M=B\exp(-At)$

Published on 26 Mar 2026 - 6:05

232

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Gradient of scalar field $a^T X^{-1} b$

Published on 25 Mar 2026 - 3:02

276

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Mathematics behind Neural Networks

Published on 25 Mar 2026 - 12:46

103

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relations betweem Schaten norms

Published on 05 Jun 2019 - 0:31

130

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Directional derivative of cost function under optimization. Finding bounds on decision variables.

Published on 25 Mar 2026 - 6:00

19

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Closed form of $\sum_{k=1}^{\infty} X^k M (X^\top)^k$

Published on 06 Jun 2019 - 8:23

261

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Matrix derivative of structured matrix (with constraint)

Published on 07 Jun 2019 - 10:29

635

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Alternative proofs Matrix Determinant Lemma

Published on 07 Jun 2019 - 10:56

44

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Bound $\|(A+B)-(A^{1/4}(1+A^{-1/2}BA^{-1/2})^{1/2}A^{1/4})^2\|$ in terms of commutator $\|AB-BA\|$

Published on 25 Mar 2026 - 17:20

50

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$k$-power of a given bidiagonal matrix and asymptotic behaviour

Published on 08 Jun 2019 - 11:52

101

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Derivative of trace of functions of $X$

Published on 11 Jun 2019 - 4:18

84

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Gradients of a loss function $ \| Y - X^{(K+1)} \|_F^2$ with recursive equation update described by $X^{(K+1)}$.

Published on 11 Jun 2019 - 10:17

List Question

Limit of matrix to a power and diagonalized matrix to a power give different results

Chain rule for [scalar to matrix to scalar]

Matrix differentiation involving exponential term

Integral of $M^TM$ for matrix $M=B\exp(-At)$

Gradient of scalar field $a^T X^{-1} b$

Mathematics behind Neural Networks

relations betweem Schaten norms

Directional derivative of cost function under optimization. Finding bounds on decision variables.

Closed form of $\sum_{k=1}^{\infty} X^k M (X^\top)^k$

Matrix derivative of structured matrix (with constraint)

Alternative proofs Matrix Determinant Lemma

Bound $\|(A+B)-(A^{1/4}(1+A^{-1/2}BA^{-1/2})^{1/2}A^{1/4})^2\|$ in terms of commutator $\|AB-BA\|$

$k$-power of a given bidiagonal matrix and asymptotic behaviour

Derivative of trace of functions of $X$

Gradients of a loss function $ \| Y - X^{(K+1)} \|_F^2$ with recursive equation update described by $X^{(K+1)}$.

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