List questions from matrix-calculus

Published on 13 Apr 2026 - 3:33

68

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Does convergence to singular matrix imply divergence of condition numbers?

Published on 12 Apr 2026 - 10:25

64

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Computation of the derivative of a matrix-valued function

Published on 13 Apr 2026 - 17:36

63

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What is $\frac{\partial}{\partial T}\left[\mathrm{ln}\left(\mathrm{det}\left( TQT^T+BI\right ) \right ) \right ]$?

Published on 15 Apr 2026 - 17:21

46

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Chain rule for derivatives of matrix equations?

Published on 11 Apr 2026 - 22:45

366

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Gradient of $f(x) = (Ax - b)^\mathsf{T} (Ax - b)$

Published on 16 Apr 2026 - 4:55

104

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Derivative of the determinant applied to the identity is the trace of the derivative

Published on 14 Apr 2026 - 16:28

134

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First-order linear matrix differential equation

Published on 12 Apr 2026 - 7:12

151

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Derivatives of log determinants of matrix products with respect to diagonal matrices?

Published on 15 Apr 2026 - 8:47

81

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Differentiate a kronecker product

Published on 14 Apr 2026 - 3:28

49

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Rank of the concatenation of three matrices

Published on 16 Apr 2026 - 11:19

87

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How to calculate the gradient of $\mathbf{x}^T\mathbf{W}^2(\mathbf{W}^2)^T\mathbf{x}$ w.r.t. $\mathbf{W}$?

Published on 17 Apr 2026 - 11:25

63

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Unfamiliar Gradient Notation referencing first order Taylor approximation of f

Published on 17 Apr 2026 - 0:52

115

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Rate of change of eigenvectors

Published on 14 Apr 2026 - 5:37

195

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Gradient of QZ decomposition

Published on 05 Apr 2026 - 23:51

List Question

Conditions on a matrix $B$ under which $(I-B)^{-1}$ is a $Z$-matrix?

Does convergence to singular matrix imply divergence of condition numbers?

Computation of the derivative of a matrix-valued function

What is $\frac{\partial}{\partial T}\left[\mathrm{ln}\left(\mathrm{det}\left( TQT^T+BI\right ) \right ) \right ]$?

Chain rule for derivatives of matrix equations?

Gradient of $f(x) = (Ax - b)^\mathsf{T} (Ax - b)$

Derivative of the determinant applied to the identity is the trace of the derivative

First-order linear matrix differential equation

Derivatives of log determinants of matrix products with respect to diagonal matrices?

Differentiate a kronecker product

Rank of the concatenation of three matrices

How to calculate the gradient of $\mathbf{x}^T\mathbf{W}^2(\mathbf{W}^2)^T\mathbf{x}$ w.r.t. $\mathbf{W}$?

Unfamiliar Gradient Notation referencing first order Taylor approximation of f

Rate of change of eigenvectors

Gradient of QZ decomposition

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