List questions from matrix-exponential

Published on 04 Jun 2022 - 12:13

164

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Determine the image of the unit circle $S^1$ by the action of the matrix $e^A$.

Published on 08 Jun 2022 - 0:02

84

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$e^XY$ and $Ye^X$

Published on 09 Jun 2022 - 11:53

83

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Is there a closed-form expression for the exponential map for SO(n), just like how Rodrigues' rotation formula is for SO(3)?

Published on 10 Jun 2022 - 0:28

91

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A 3-D ODE linear system solved by matrix exponential

Published on 15 Jun 2022 - 21:21

479

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Logarithm of a positive-definite matrix

Published on 27 Mar 2026 - 7:48

181

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Convergence of the exponential matrix.

Published on 19 Jun 2022 - 6:15

166

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Explicit computation of norm of matrix exponential for a concrete matrix

Published on 28 Mar 2026 - 20:22

743

Views

Is $\exp(\log(A))=A$ for any matrix $A$ where $\log(A)$ is defined?

Published on 13 Jul 2022 - 17:35

2k

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The matrix logarithm is well-defined - but how can we algebraically see that it is inverse to the exponential, as a finite polynomial?

Published on 24 Feb 2026 - 15:30

137

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Solution of Diffusion equation with exponential integrator

Published on 29 Mar 2026 - 5:10

120

Views

Gaussian integral with matrix exponents

Published on 21 Jul 2022 - 19:26

96

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Most efficient way to compute $S(n, a, b) = \sum_{i=1}^n a^i i^b$?

Published on 21 Jul 2022 - 22:15

77

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Finding a transition matrix exercise

Published on 25 Jul 2022 - 15:00

94

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Computing product of matrix exponential with vector using Runge Kutta

Published on 27 Mar 2026 - 14:11

List Question

Exponential of a "simple" matrix?

Determine the image of the unit circle $S^1$ by the action of the matrix $e^A$.

$e^XY$ and $Ye^X$

Is there a closed-form expression for the exponential map for SO(n), just like how Rodrigues' rotation formula is for SO(3)?

A 3-D ODE linear system solved by matrix exponential

Logarithm of a positive-definite matrix

Convergence of the exponential matrix.

Explicit computation of norm of matrix exponential for a concrete matrix

Is $\exp(\log(A))=A$ for any matrix $A$ where $\log(A)$ is defined?

The matrix logarithm is well-defined - but how can we algebraically see that it is inverse to the exponential, as a finite polynomial?

Solution of Diffusion equation with exponential integrator

Gaussian integral with matrix exponents

Most efficient way to compute $S(n, a, b) = \sum_{i=1}^n a^i i^b$?

Finding a transition matrix exercise

Computing product of matrix exponential with vector using Runge Kutta

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