List questions from block-matrices

Published on 30 Oct 2020 - 12:32

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Prove Linear independence of generalized eigenvectors of distinct or repeated eigenvalues

Published on 23 Mar 2026 - 15:11

73

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Upper bounding the largest singular value of a matrix $X$ via LMI — is it correct?

Published on 25 Mar 2026 - 15:41

61

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Linear matrix inequality derivation from Risk-averse MPC problem

Published on 23 Feb 2026 - 2:37

98

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If $A = \text{blkdiag}(G_1DG_1^T, G_2DG_2^T)$ is a block diagonal matrix and $B = C^TC$ is symmetric, how to manipulate $\text{tr}(AB)$?

Published on 08 Nov 2020 - 4:00

384

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Prove that this block matrix is positive definite

Published on 11 Nov 2020 - 17:03

743

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$\det\left[ \begin{matrix} A & B \\ B & A \end{matrix} \right] \ = \ \det\left( A + B \right) \det( A - B )$ for $AB \neq BA$

Published on 12 Nov 2020 - 18:31

149

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Solving an invertible block lower triangular matrix with zeros on the right hand side

Published on 16 Nov 2020 - 22:49

50

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Finding a kind of matrix

Published on 28 Mar 2026 - 14:18

84

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Matrix Determinant Formula

Published on 18 Nov 2020 - 18:22

77

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Eigenvalues of $N^T M N$

Published on 26 Nov 2020 - 22:54

444

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Singular values of block lower triangular matrix

Published on 28 Mar 2026 - 2:42

111

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Can $X - Y A^\dagger Y^T\succ0$ be written as an LMI where $A^\dagger$ is a pseudoinverse?

Published on 25 Mar 2026 - 15:43

584

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Eigenvalues of an almost diagonal matrix

Published on 28 Mar 2026 - 12:34

226

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Diagonalization of a block hermitian matrix

Published on 26 Mar 2026 - 16:06

List Question

Proving a block matrix is psd.

Prove Linear independence of generalized eigenvectors of distinct or repeated eigenvalues

Upper bounding the largest singular value of a matrix $X$ via LMI — is it correct?

Linear matrix inequality derivation from Risk-averse MPC problem

If $A = \text{blkdiag}(G_1DG_1^T, G_2DG_2^T)$ is a block diagonal matrix and $B = C^TC$ is symmetric, how to manipulate $\text{tr}(AB)$?

Prove that this block matrix is positive definite

$\det\left[ \begin{matrix} A & B \\ B & A \end{matrix} \right] \ = \ \det\left( A + B \right) \det( A - B )$ for $AB \neq BA$

Solving an invertible block lower triangular matrix with zeros on the right hand side

Finding a kind of matrix

Matrix Determinant Formula

Eigenvalues of $N^T M N$

Singular values of block lower triangular matrix

Can $X - Y A^\dagger Y^T\succ0$ be written as an LMI where $A^\dagger$ is a pseudoinverse?

Eigenvalues of an almost diagonal matrix

Diagonalization of a block hermitian matrix

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