List questions from matrix-decomposition

Published on 28 Mar 2026 - 23:10

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Simulate multivariate normal when covariance matrix is not positive semi definite and has negative eigenvalues

Published on 28 Mar 2026 - 3:00

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Simple solutions to linear systems of equations

Published on 06 Apr 2026 - 1:39

105

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Prove that all eigenvalues $((C^T(Q_f+Q_p)C)^{-1} (C^T(Q_g+Q_p)C)) \geq ((C^TQ_fC)^{-1} (C^TQ_gC))$ ??

Published on 24 Mar 2021 - 18:40

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Triangular Input Balanced

Published on 25 Mar 2021 - 13:55

47

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Show that positive definite matrix $S$ can be factorised in particular way

Published on 28 Mar 2026 - 23:10

144

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A specific coset decomposition of $\mathrm{GL}_n(\mathbb{C})$

Published on 26 Mar 2026 - 2:58

133

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While solving a determinant, can't we use an affected row for further operations?

Published on 29 Mar 2021 - 9:53

31

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Does there exist an transform that allow me to solve arbitrary linear real valued differential equation by solving upper triangular matrix ODEs?

Published on 30 Mar 2021 - 13:25

56

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Block diagonalising a real asymmetric matrix

Published on 30 Mar 2021 - 14:17

3k

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QR factorization: $A=QR$ and $R=Q^TA$ gives $Q Q^T = I$

Published on 31 Mar 2021 - 2:52

172

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Schur decomposition nonnegative real numbers on the diagonal

Published on 25 Mar 2026 - 9:50

132

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Matrix function decomposition of the form $A(\theta)=B(\theta)^\top Q B(\theta)$

Published on 01 Apr 2021 - 15:32

181

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How to Cast a Quadratic Constraint as Convex if Q is a (PSD) Variable?

Published on 23 Feb 2026 - 9:03

23

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Maximizing correct(or incorrect) labeling and prove its bound.

Published on 29 Mar 2026 - 15:53

List Question

Eigenvalues of block matrix comprising diagonal matrices

Simulate multivariate normal when covariance matrix is not positive semi definite and has negative eigenvalues

Simple solutions to linear systems of equations

Prove that all eigenvalues $((C^T(Q_f+Q_p)C)^{-1} (C^T(Q_g+Q_p)C)) \geq ((C^TQ_fC)^{-1} (C^TQ_gC))$ ??

Triangular Input Balanced

Show that positive definite matrix $S$ can be factorised in particular way

A specific coset decomposition of $\mathrm{GL}_n(\mathbb{C})$

While solving a determinant, can't we use an affected row for further operations?

Does there exist an transform that allow me to solve arbitrary linear real valued differential equation by solving upper triangular matrix ODEs?

Block diagonalising a real asymmetric matrix

QR factorization: $A=QR$ and $R=Q^TA$ gives $Q Q^T = I$

Schur decomposition nonnegative real numbers on the diagonal

Matrix function decomposition of the form $A(\theta)=B(\theta)^\top Q B(\theta)$

How to Cast a Quadratic Constraint as Convex if Q is a (PSD) Variable?

Maximizing correct(or incorrect) labeling and prove its bound.

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