List questions from matrix-exponential

Published on 27 Nov 2016 - 19:31

586

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Examples about that $\exp(X+Y)=\exp(X) \exp(Y)$ does not imply $[X,Y]=0$ where $X,Y$ are $n \times n $ matrix

Published on 29 Nov 2016 - 19:35

180

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Is $A=0$ the only solution to $\exp(A)=I$?

Published on 05 Dec 2016 - 17:36

73

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Solve $\dot{v}(t)=Av$ where $A$ is idempotent

Published on 26 Mar 2026 - 7:33

67

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An exponential family of polynomials, their matrix representations (and why they are being so nice to me).

Published on 29 Dec 2016 - 22:10

214

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Matrix exponential versus Jordan blocks

Published on 30 Dec 2016 - 0:12

55

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In which condition the matrix Lie group $G\simeq \cup_{n=1}^\infty(\exp[g])^n$ is simply connected, where $g$ is a matrix Lie algebra

Published on 06 Jan 2017 - 5:31

961

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Showing $e^A$ is positive definite, for any Hermitian matrix $A$

Published on 11 Jan 2017 - 4:17

133

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Matrix exponential of $4 \times 4$ (almost) skew-symmetric matrix

Published on 14 Jan 2017 - 18:02

527

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Solve matrix exponential power series

Published on 15 Jan 2017 - 12:15

928

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Real logarithms of special orthogonal matrices

Published on 17 Jan 2017 - 11:07

44

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Solution to recurrence

Published on 19 Jan 2017 - 13:59

41

Views

Product of 2 Matrix Exponential or PH Random variables, $Z = X\cdot Y$

Published on 20 Jan 2017 - 15:04

1.3k

Views

Exponential of a symmetric tridiagonal Toeplitz matrix

Published on 25 Mar 2026 - 6:51

192

Views

Generalization to higher dimension of $e^r \not \in \mathbb Q$

Published on 31 Jan 2017 - 3:20

List Question

Why is $e^\mathrm{D}f(x)=f(x+1)$?

Examples about that $\exp(X+Y)=\exp(X) \exp(Y)$ does not imply $[X,Y]=0$ where $X,Y$ are $n \times n $ matrix

Is $A=0$ the only solution to $\exp(A)=I$?

Solve $\dot{v}(t)=Av$ where $A$ is idempotent

An exponential family of polynomials, their matrix representations (and why they are being so nice to me).

Matrix exponential versus Jordan blocks

In which condition the matrix Lie group $G\simeq \cup_{n=1}^\infty(\exp[g])^n$ is simply connected, where $g$ is a matrix Lie algebra

Showing $e^A$ is positive definite, for any Hermitian matrix $A$

Matrix exponential of $4 \times 4$ (almost) skew-symmetric matrix

Solve matrix exponential power series

Real logarithms of special orthogonal matrices

Solution to recurrence

Product of 2 Matrix Exponential or PH Random variables, $Z = X\cdot Y$

Exponential of a symmetric tridiagonal Toeplitz matrix

Generalization to higher dimension of $e^r \not \in \mathbb Q$

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