Question

If $\Vert e^{tA}\Vert\to 0$ as $t\to \infty$, then $\sigma(A)\subset \{\lambda\in \Bbb{C}:\,\Bbb{Re}(\lambda)<0\}$

score 131 · Answer 1 · 2018-09-01 06:07:47

131

Views

If $\Vert e^{tA}\Vert\to 0$ as $t\to \infty$, then $\sigma(A)\subset \{\lambda\in \Bbb{C}:\,\Bbb{Re}(\lambda)<0\}$

Published on 01 Sep 2018 - 6:07

score 513 · Answer 2 · 2026-03-25 14:18:36

513

Views

Eigenvector Approximation

Published on 25 Mar 2026 - 14:18

score 851 · Answer 3 · 2018-09-03 21:39:37

851

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second order derivative of log det of matrix

Published on 03 Sep 2018 - 21:39

score 175 · Answer 4 · 2018-09-04 01:24:33

175

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partial derivatives of matrix

Published on 04 Sep 2018 - 1:24

score 1.3k · Answer 5 · 2018-09-05 04:34:49

1.3k

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condition for a matrix to be pseudo-hermitian

Published on 05 Sep 2018 - 4:34

score 87 · Answer 6 · 2018-09-05 23:58:39

87

Views

Is it always true and how to prove it?

Published on 05 Sep 2018 - 23:58

score 103 · Answer 7 · 2018-09-06 09:10:51

103

Views

Problem on Matrix Calculus.

Published on 06 Sep 2018 - 9:10

score 113 · Answer 8 · 2018-09-06 11:05:23

113

Views

Does this matrix sequence always converge?

Published on 06 Sep 2018 - 11:05

score 23 · Answer 9 · 2026-03-25 19:06:02

23

Views

Which reasoning is used here to prove the zero value for each of the polynomial functions?

Published on 25 Mar 2026 - 19:06

score 42 · Answer 10 · 2018-09-07 12:06:43

42

Views

Find $\frac{d}{dx} \left( \lVert u - M^{-1}(x)u\rVert_2^2 \right)$, where $M(x) = \left(B + xA \right)$ and $M^H(x) = M(x)$

Published on 07 Sep 2018 - 12:06

score 820 · Answer 11 · 2018-09-07 19:00:24

820

Views

Compute $\frac{d}{dx} \left\{ u^H M^{-1}(x) \ A \ M^{-1}(x) \ u\right\} $, where $M(x) = \left(B + xA \right) ; \ M^H(x) = M(x)$

Published on 07 Sep 2018 - 19:00

score 113 · Answer 12 · 2026-03-25 17:43:55

113

Views

Modification of Standard LASSO Problem for $N$ Observations

Published on 25 Mar 2026 - 17:43

score 94 · Answer 13 · 2026-03-25 06:05:51

94

Views

$f(t)=\text{det}(A+tB)$ is continuous for symmetric positive semi-definite matrices $A$ and $B$?

Published on 25 Mar 2026 - 6:05

score 2.7k · Answer 14 · 2026-03-25 01:18:47

2.7k

Views

Gradient and Hessian of $x x^T$ w.r.t. $x$, where $x \in \mathbb{R}^{n \times 1}$,?

Published on 25 Mar 2026 - 1:18

score 113 · Answer 15 · 2018-09-09 22:55:00

113

Views

questions with matrix derivatives, dererminat and trace

Published on 09 Sep 2018 - 22:55

List Question

If $\Vert e^{tA}\Vert\to 0$ as $t\to \infty$, then $\sigma(A)\subset \{\lambda\in \Bbb{C}:\,\Bbb{Re}(\lambda)<0\}$

Eigenvector Approximation

second order derivative of log det of matrix

partial derivatives of matrix

condition for a matrix to be pseudo-hermitian

Is it always true and how to prove it?

Problem on Matrix Calculus.

Does this matrix sequence always converge?

Which reasoning is used here to prove the zero value for each of the polynomial functions?

Find $\frac{d}{dx} \left( \lVert u - M^{-1}(x)u\rVert_2^2 \right)$, where $M(x) = \left(B + xA \right)$ and $M^H(x) = M(x)$

Compute $\frac{d}{dx} \left\{ u^H M^{-1}(x) \ A \ M^{-1}(x) \ u\right\} $, where $M(x) = \left(B + xA \right) ; \ M^H(x) = M(x)$

Modification of Standard LASSO Problem for $N$ Observations

$f(t)=\text{det}(A+tB)$ is continuous for symmetric positive semi-definite matrices $A$ and $B$?

Gradient and Hessian of $x x^T$ w.r.t. $x$, where $x \in \mathbb{R}^{n \times 1}$,?

questions with matrix derivatives, dererminat and trace

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