List questions from hermitian-matrices

Published on 13 Nov 2023 - 22:24

85

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Do all symmetric matrices represent a quadratic form?

Published on 15 Nov 2023 - 18:55

54

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Set of positive definite Hermitian matrices as quotient

Published on 24 Nov 2023 - 18:12

38

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Inverse of a special hermitian sparse matrix

Published on 25 Mar 2026 - 23:38

37

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Condition on unitary operator for real eigenstates of Hamiltonian

Published on 26 Mar 2026 - 4:34

49

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Conjugate of an operator and its relation with its squaring value

Published on 05 Jan 2024 - 15:12

95

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Can the product of a complex symmetric unitary matrix and a skew-hermitian matrix be complex skew-symmetric?

Published on 26 Mar 2026 - 6:34

32

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Why does $\langle x\vert A^\dagger A\vert x\rangle$ being independent of $x$ imply this Hermitian property?

Published on 24 Jan 2024 - 12:08

41

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Step in derivation of Hadamard's First Variational Formula for Hermitian Matrices

Published on 23 Feb 2026 - 19:21

46

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How to prove $SUS=\frac{(S|S)}{2}U$ with $S$ and $U$ are skew-hermitian with following conditions?

Published on 13 Feb 2024 - 10:12

14

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Decomposition of a positive semidefinite matrix in the form $Q = BB^H = CC^H$

Published on 02 Mar 2026 - 10:23

39

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Trace of product of three matrices

Published on 19 Feb 2024 - 10:56

170

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The relation between the eigenvalue of a Hermitian matrix and the block matrix that composed by it real and imaginary part

Published on 29 Feb 2024 - 8:23

23

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Is the Eigen spectrum of a matrix completely defined by the algebra of its parts?

Published on 01 Mar 2024 - 7:42

32

Views

If $\rho_{AB}$ is a separable then the partial transpose w.r.t to A is PSD

Published on 03 Mar 2024 - 13:08

List Question

Eigenvalues of matrix with submatrices

Do all symmetric matrices represent a quadratic form?

Set of positive definite Hermitian matrices as quotient

Inverse of a special hermitian sparse matrix

Condition on unitary operator for real eigenstates of Hamiltonian

Conjugate of an operator and its relation with its squaring value

Can the product of a complex symmetric unitary matrix and a skew-hermitian matrix be complex skew-symmetric?

Why does $\langle x\vert A^\dagger A\vert x\rangle$ being independent of $x$ imply this Hermitian property?

Step in derivation of Hadamard's First Variational Formula for Hermitian Matrices

How to prove $SUS=\frac{(S|S)}{2}U$ with $S$ and $U$ are skew-hermitian with following conditions?

Decomposition of a positive semidefinite matrix in the form $Q = BB^H = CC^H$

Trace of product of three matrices

The relation between the eigenvalue of a Hermitian matrix and the block matrix that composed by it real and imaginary part

Is the Eigen spectrum of a matrix completely defined by the algebra of its parts?

If $\rho_{AB}$ is a separable then the partial transpose w.r.t to A is PSD

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