List questions from matrix-analysis

Published on 03 Mar 2021 - 6:10

83

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The Scalar-to-Matrix Derivative of $\frac 1 2 \| V \sigma \left( Wx \right) - y \|_2^2$ w.r.t. $W$

Published on 14 Mar 2021 - 16:39

193

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What does algebraically closed field play the role in Schur's unitary triangulation theorem?

Published on 25 Mar 2026 - 8:09

112

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Inequality in the eigenvalues of $B$

Published on 23 Mar 2021 - 15:35

126

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How to show that the negative eigenvalues of $A$ is equal to the number of sign changes in the sequence $+1, a_1, a_2, \cdots, a_n$?

Published on 31 Mar 2021 - 13:57

119

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Which of the following is the image of a continuous surjection from $GL_2 (\Bbb R)\ $?

Published on 01 Apr 2021 - 8:43

54

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A real matrix is orthogonally similar to a real lower Hessenberg matrix via plane rotations

Published on 25 Mar 2026 - 20:36

42

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Low rank matrix manifold intersects subspace

Published on 13 Apr 2021 - 9:07

57

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Estimating the norm of a matrix in $M_n(\mathbb{C})$.

Published on 30 Apr 2021 - 14:39

93

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Inequality between the rank of matrix and the $\ell_1$-norm

Published on 13 May 2021 - 14:12

325

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Rank of a leading principal submatrix of a full rank matrix

Published on 25 May 2021 - 12:56

722

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How to prove a block matrix is positive definite?

Published on 31 May 2021 - 1:56

78

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Finding a matrix interpolation

Published on 03 Jun 2021 - 8:26

51

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$\Vert A \Vert_{G_1} \overset{?}{\geq} \Vert A \Vert_{G_2}$, if $G_1 \succeq G_2 \succeq 0 $

Published on 09 Jun 2021 - 9:57

34

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Distance between numerical ranges of two compressions of an operator

Published on 17 Jul 2021 - 15:59

List Question

Solvability of a system with matrix unknowns

The Scalar-to-Matrix Derivative of $\frac 1 2 \| V \sigma \left( Wx \right) - y \|_2^2$ w.r.t. $W$

What does algebraically closed field play the role in Schur's unitary triangulation theorem?

Inequality in the eigenvalues of $B$

How to show that the negative eigenvalues of $A$ is equal to the number of sign changes in the sequence $+1, a_1, a_2, \cdots, a_n$?

Which of the following is the image of a continuous surjection from $GL_2 (\Bbb R)\ $?

A real matrix is orthogonally similar to a real lower Hessenberg matrix via plane rotations

Low rank matrix manifold intersects subspace

Estimating the norm of a matrix in $M_n(\mathbb{C})$.

Inequality between the rank of matrix and the $\ell_1$-norm

Rank of a leading principal submatrix of a full rank matrix

How to prove a block matrix is positive definite?

Finding a matrix interpolation

$\Vert A \Vert_{G_1} \overset{?}{\geq} \Vert A \Vert_{G_2}$, if $G_1 \succeq G_2 \succeq 0 $

Distance between numerical ranges of two compressions of an operator

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