List questions from symmetric-matrices

Published on 26 Mar 2026 - 17:52

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Under what conditions is the product of a PSD matrix and another matrix itself PSD?

Published on 26 Mar 2026 - 22:58

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Inverse of matrix plus identity

Published on 25 Jul 2020 - 23:52

926

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Prove that $q(x,y)=Ax^2+2Bxy+Cy^2$ is positive definite

Published on 26 Mar 2026 - 12:37

592

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Sum of a diagonal matrix and a symmetric positive semidefinite matrix

Published on 26 Mar 2026 - 22:57

257

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Is this Hankel matrix positive definite?

Published on 23 Feb 2026 - 21:58

674

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Is the matrix of Lagrange multipliers associated to a symmetric matrix itself symmetric?

Published on 28 Jul 2020 - 21:37

103

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Is there a name for symmetric matrices with exactly one non-zero eigenvalue which also equals the trace?

Published on 26 Mar 2026 - 22:52

57

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Proving an equality associated with symmetric positive definite matrices

Published on 28 Mar 2026 - 4:34

100

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Orthogonality of Eigenvectors corresponding to different type of matrices

Published on 29 Jul 2020 - 5:53

132

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How to calculate the derivative of $f(M) = \operatorname{Trace}(M^pX)$ with respect to $M$?

Published on 29 Mar 2026 - 3:53

375

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$P^{-1}A^{-1}B P$ diagonal implies $P^\top A P$ and $P^\top B P$ diagonal?

Published on 26 Mar 2026 - 12:40

60

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Given symmetric matrix $A,$ find when $\lim_{k\to\infty} (x^tA^{2k}x)^{1/k}$ exists

Published on 07 Jul 2016 - 12:58

488

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How to find a symmetric matrix that transforms one ellipsoid to another?

Published on 11 Jul 2016 - 3:52

637

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Fast eigen decomposition algorithm for Skew Symmetric matrix

Published on 11 Jul 2016 - 12:53

List Question

Do Approximate Eigenvalues Imply Approximate Eigenvectors?

Under what conditions is the product of a PSD matrix and another matrix itself PSD?

Inverse of matrix plus identity

Prove that $q(x,y)=Ax^2+2Bxy+Cy^2$ is positive definite

Sum of a diagonal matrix and a symmetric positive semidefinite matrix

Is this Hankel matrix positive definite?

Is the matrix of Lagrange multipliers associated to a symmetric matrix itself symmetric?

Is there a name for symmetric matrices with exactly one non-zero eigenvalue which also equals the trace?

Proving an equality associated with symmetric positive definite matrices

Orthogonality of Eigenvectors corresponding to different type of matrices

How to calculate the derivative of $f(M) = \operatorname{Trace}(M^pX)$ with respect to $M$?

$P^{-1}A^{-1}B P$ diagonal implies $P^\top A P$ and $P^\top B P$ diagonal?

Given symmetric matrix $A,$ find when $\lim_{k\to\infty} (x^tA^{2k}x)^{1/k}$ exists

How to find a symmetric matrix that transforms one ellipsoid to another?

Fast eigen decomposition algorithm for Skew Symmetric matrix

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