List questions from matrix-exponential

Published on 25 Mar 2026 - 9:37

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Showing that $e^{iB \otimes e_1 \otimes e_1^t} = e^{iB} \otimes e_1 \otimes e_1^t + I_n \otimes(I_n - e_1 \otimes e_1^t)$ for a matrix $B$

Published on 20 Jun 2019 - 22:11

145

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How to simplify exponential matrix complex output in MATLAB?

Published on 25 Jun 2019 - 11:18

57

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Let ${y(x)}$ be the general solution of $y'(x) = A_{n \times n}(x) y(x)+f (x),$ I want to show the next inequality.

Published on 25 Mar 2026 - 12:50

620

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Special Case of Baker-Campbell-Hausdorff Formula

Published on 01 Jul 2019 - 9:49

94

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Full list of eigenvalues of $e^A$ of a matrix $A$

Published on 15 Jul 2019 - 16:42

63

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When dealing with matrix exponentials, can we assume $e^{-A}=(e^A)^{-1}$?

Published on 26 Jul 2019 - 21:45

75

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The matrix exponential lifting derivations to automorphisms

Published on 28 Jul 2019 - 8:04

869

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Spectral Decomposition exponential with Pauli matrices

Published on 25 Mar 2026 - 20:17

1k

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Calculate trace of matrix with complex eigenvalues

Published on 31 Jul 2019 - 7:37

1.6k

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Verify the matrix exponential $e^{i\hat{H}t/\hbar}$ is unitary

Published on 25 Mar 2026 - 7:49

893

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Prove this matrix to be unitary

Published on 25 Mar 2026 - 4:38

63

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Sparse Matrix Exponentiation

Published on 06 Aug 2019 - 18:52

261

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For the 3D rotation operation $R^{-1}(R(\omega_0)*R(\omega))$, how can we compute the derivative wrt $\omega$?

Published on 07 Aug 2019 - 18:25

42

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Show that for $0<||A||<\epsilon$ we have $||e^{A}-I||>0$

Published on 10 Aug 2019 - 4:12

List Question

Identities $e^{A \otimes I} = e^{A} \otimes I$ and $e^{I \otimes A} = I \otimes e^A$

Showing that $e^{iB \otimes e_1 \otimes e_1^t} = e^{iB} \otimes e_1 \otimes e_1^t + I_n \otimes(I_n - e_1 \otimes e_1^t)$ for a matrix $B$

How to simplify exponential matrix complex output in MATLAB?

Let ${y(x)}$ be the general solution of $y'(x) = A_{n \times n}(x) y(x)+f (x),$ I want to show the next inequality.

Special Case of Baker-Campbell-Hausdorff Formula

Full list of eigenvalues of $e^A$ of a matrix $A$

When dealing with matrix exponentials, can we assume $e^{-A}=(e^A)^{-1}$?

The matrix exponential lifting derivations to automorphisms

Spectral Decomposition exponential with Pauli matrices

Calculate trace of matrix with complex eigenvalues

Verify the matrix exponential $e^{i\hat{H}t/\hbar}$ is unitary

Prove this matrix to be unitary

Sparse Matrix Exponentiation

For the 3D rotation operation $R^{-1}(R(\omega_0)*R(\omega))$, how can we compute the derivative wrt $\omega$?

Show that for $0<||A||<\epsilon$ we have $||e^{A}-I||>0$

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