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Low rank approximation of non-symmetrix square matrix

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#matrix-rank #svd #positive-definite
39
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What can be said about the definiteness of $A^{T}_i+A_i$ when $\sum_{i=1}^{n}A^{T}_{i}+A_i<0$?

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#linear-algebra #matrices #matrix-equations #positive-definite
443
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A conjecture on the Lyapunov equation

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#linear-algebra #matrices #eigenvalues-eigenvectors #matrix-equations #positive-definite
61
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Positive semi-definite Matrix 3

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#linear-algebra #matrices #positive-definite #positive-semidefinite
305
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Is there a closed formula for the positive-definite matrix square root?

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#reference-request #soft-question #matrix-calculus #matrix-decomposition #positive-definite
340
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Positive Definite Matrix (Block Matrix)

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#linear-algebra #positive-definite #block-matrices
1.9k
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What is the meaning of a nonnegative definite function?

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#positive-definite
88
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Is $e^{-(L+L^T)}$ a positive definite matrix?

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#matrices #positive-definite #positive-semidefinite
94
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Is it possible that $L+L^T$ is a positive definite matrix?

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#linear-algebra #matrices #graph-theory #positive-definite #graph-laplacian
124
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Finding first nonzero element per row after Choleski decomposition

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#matrix-decomposition #positive-definite #lu-decomposition
51
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Is $\pmb{x}<\pmb{y}$ implies $A\pmb{x}<A\pmb{y}$ when $A$ is positive definite?

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#inequality #matrix-equations #positive-definite #positive-semidefinite
79
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An inequality about positive matrices

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#linear-algebra #matrices #inequality #positive-definite
928
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What is the proof of the fact "a positive definite matrix has a unique positive definite square root"?

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#matrices #proof-verification #roots #positive-definite
52
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If $M$ is symmetric posdef, then all diagonal band matrices derived from $M$ are also posdef?

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#linear-algebra #matrices #positive-definite
3.1k
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Fast way of checking whether a matrix is positive definite without Cholesky decomposition

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#matrices #positive-definite

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