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Derivative of the determinant with respect to the vector

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#multivariable-calculus #derivatives #determinant #matrix-calculus #scalar-fields
56
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Approximation of Woodbury matrix identity

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#linear-algebra #matrix-equations #matrix-calculus #matrix-decomposition #linear-approximation
45
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basic of Jordan Form proof

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#eigenvalues-eigenvectors #matrix-calculus #jordan-normal-form
83
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Perturbation expansion of matrix Riccati equation

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#matrix-equations #matrix-calculus
200
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Derivative of the Wasserstein Metric between two Gaussians

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#stochastic-calculus #matrix-calculus #matrix-decomposition #wasserstein
27
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Ambiguities in two related optimization problems

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#linear-algebra #matrices #matrix-calculus #matrix-decomposition #signal-processing
71
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Structured Matrix $T$ for which $\|A-BT\|_F^2$ is the smallest

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#linear-algebra #matrices #optimization #linear-transformations #matrix-calculus
57
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Linear transformation of trace to determinant and vice versa

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#linear-algebra #matrices #linear-transformations #matrix-calculus
56
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Principal axis transformation of a symmetric matrix | Cornelius Lanczos

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#linear-algebra #matrices #ordinary-differential-equations #operator-theory #matrix-calculus
78
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How to calculate derivative of matrix to power 1/2

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#derivatives #matrix-calculus
119
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Gradient of ${\bf x}^\top {\bf A}^{1/2} {\bf x}$ with respect to $\bf A$

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#matrices #derivatives #normal-distribution #matrix-calculus #scalar-fields
59
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Lower bound for the trace of a product of matrices

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#linear-algebra #matrices #matrix-calculus
564
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How to compute the gradient of any loss function

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#derivatives #optimization #matrix-calculus #gradient-descent
217
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Difference between scalar sum and vector sum

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#statistics #summation #matrix-calculus #sampling
77
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How to define complex number power of matrix?

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#linear-algebra #operator-theory #hilbert-spaces #matrix-calculus

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