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Efficiently update the inverse of a sum of three matrices following a rescaling of two of them?

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#linear-algebra #matrices #matrix-equations #numerical-linear-algebra #matrix-decomposition
99
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If $\rm AX = XB$ for any $\rm X$ of constant dims $m \times n$, then does $\rm A$ exists for given $\rm B$ and how to find it?

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#matrices #terminology #matrix-calculus #matrix-decomposition
18.9k
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Solving a linear system with Cholesky factorization

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#numerical-methods #algorithms #matrix-decomposition
17
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decomposition of matrix of matrices

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#matrices #tensors #matrix-decomposition #positive-definite #positive-semidefinite
321
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Prove some properties of the cofactor matrix

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#matrices #matrix-equations #matrix-calculus #matrix-decomposition
46
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$(X)^{1/2} Y (X)^{1/2}$ in a special case

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#matrices #matrix-decomposition
932
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Cholesky decomposition of the inverse of a matrix

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#matrix-decomposition
2.2k
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Singular Value Decomposition on covariance matrix for multivariate normal distribution

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#normal-distribution #matrix-decomposition #covariance #svd
980
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Can all matrices be decomposed as product of right and left eigenvector?

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#linear-algebra #matrix-decomposition
16
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How do they get from $Ac=0$ to $Q^tQRc=0$

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#numerical-methods #matrix-decomposition
52
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Does "singular" have a common meaning across matrices, decomposition, vectors and values?

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#linear-algebra #matrices #matrix-decomposition #singular-values
133
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Generalized eigen-decomposition with two constants

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#matrices #eigenvalues-eigenvectors #matrix-decomposition
181
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Matrix representation of vector-valued function

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#linear-algebra #matrices #matrix-decomposition #multilinear-algebra
389
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Confusion regarding projectors

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#linear-algebra #abstract-algebra #matrix-decomposition #projection-matrices
1k
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Spectral decomposition of Covariance matrix

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#matrices #eigenvalues-eigenvectors #matrix-decomposition #covariance

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