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Bounding the minimum singular value of a block triangular matrix

score 1k · Answer 1 · 2017-03-21 16:46:47

1k

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Bounding the minimum singular value of a block triangular matrix

Published on 21 Mar 2017 - 16:46

score 330 · Answer 2 · 2017-04-06 14:36:21

330

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Block matrix proof of Cauchy-Binet

Published on 06 Apr 2017 - 14:36

score 148 · Answer 3 · 2023-01-30 07:09:28

148

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Positive Definite Matrix Proof With Block Matrix

Published on 30 Jan 2023 - 7:09

score 37 · Answer 4 · 2023-02-01 18:14:10

37

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show that $U^*AU$ has the form $\pmatrix{\lambda_1 & w \\ 0 & A_1 }$

Published on 01 Feb 2023 - 18:14

score 410 · Answer 5 · 2026-03-25 09:50:51

410

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Block-diagonalization with unitary similarity transformations: ($A \rightarrow U B U^\dagger $, $B$ block-diagonal)

Published on 25 Mar 2026 - 9:50

score 52 · Answer 6 · 2023-02-10 14:49:50

52

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the relation between $p_{AB}$ and $p_{BA}$ such that $p$ is characteristc polynomial.

Published on 10 Feb 2023 - 14:49

score 204 · Answer 7 · 2026-03-22 07:52:57

204

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Prove that $\det\begin{pmatrix}A&B\\-B&A\end{pmatrix}$ is a sum of squares of polynomials

Published on 22 Mar 2026 - 7:52

score 132 · Answer 8 · 2026-03-25 03:22:50

132

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How can I express a linear matrix inequality in an expanded form?

Published on 25 Mar 2026 - 3:22

score 41 · Answer 9 · 2026-03-25 12:50:51

41

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Can we express the spectral norm of a matrix $F$ in terms of the singular values of the sub-matrix $K$?

Published on 25 Mar 2026 - 12:50

score 37 · Answer 10 · 2026-03-25 06:08:24

37

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Can this problem be reduced to solving an LMI?

Published on 25 Mar 2026 - 6:08

score 52 · Answer 11 · 2023-02-25 18:31:54

52

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Off-diagonal submatrices of a normal matrix have the same Frobenius norms

Published on 25 Feb 2023 - 18:31

score 40 · Answer 12 · 2023-02-28 13:57:11

40

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Determinant of order 2 block matrix following specific instructions

Published on 28 Feb 2023 - 13:57

score 280 · Answer 13 · 2026-03-25 19:11:59

280

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Can we show the block matrix of the inverse of $A$ is greater than the inverse of the block matrix of $A$?

Published on 25 Mar 2026 - 19:11

score 139 · Answer 14 · 2023-03-05 22:46:19

139

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Bounding Principal Submatrix Eigenvalues - A More General Version of Cauchy Interlace Theorem

Published on 05 Mar 2023 - 22:46

score 51 · Answer 15 · 2023-03-06 22:53:01

51

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Maximal block-diagonalisation by permutation

Published on 06 Mar 2023 - 22:53

List Question

Bounding the minimum singular value of a block triangular matrix

Block matrix proof of Cauchy-Binet

Positive Definite Matrix Proof With Block Matrix

show that $U^*AU$ has the form $\pmatrix{\lambda_1 & w \\ 0 & A_1 }$

Block-diagonalization with unitary similarity transformations: ($A \rightarrow U B U^\dagger $, $B$ block-diagonal)

the relation between $p_{AB}$ and $p_{BA}$ such that $p$ is characteristc polynomial.

Prove that $\det\begin{pmatrix}A&B\\-B&A\end{pmatrix}$ is a sum of squares of polynomials

How can I express a linear matrix inequality in an expanded form?

Can we express the spectral norm of a matrix $F$ in terms of the singular values of the sub-matrix $K$?

Can this problem be reduced to solving an LMI?

Off-diagonal submatrices of a normal matrix have the same Frobenius norms

Determinant of order 2 block matrix following specific instructions

Can we show the block matrix of the inverse of $A$ is greater than the inverse of the block matrix of $A$?

Bounding Principal Submatrix Eigenvalues - A More General Version of Cauchy Interlace Theorem

Maximal block-diagonalisation by permutation

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