Question

The expectation of a hermitian matrix quadratic form $E\left[ \mathbf{XF}{{\mathbf{F}}^{H}}{{\mathbf{X}}^{H}} \right]$

score 108 · Answer 1 · 2019-11-21 13:39:00

108

Views

The expectation of a hermitian matrix quadratic form $E\left[ \mathbf{XF}{{\mathbf{F}}^{H}}{{\mathbf{X}}^{H}} \right]$

Published on 21 Nov 2019 - 13:39

score 77 · Answer 2 · 2019-11-22 01:15:01

77

Views

What does this weird matrix notation mean?

Published on 22 Nov 2019 - 1:15

score 85 · Answer 3 · 2019-11-22 21:56:38

85

Views

Explain why the inertia of a Hermitian matrix is uniquely determined by its rank and signature

Published on 22 Nov 2019 - 21:56

score 50 · Answer 4 · 2026-03-26 02:55:09

50

Views

Real quadratic spaces and rational quadratic spaces

Published on 26 Mar 2026 - 2:55

score 60 · Answer 5 · 2019-11-25 08:23:45

60

Views

Reduced quadratic forms, reduced ideals.

Published on 25 Nov 2019 - 8:23

score 108 · Answer 6 · 2019-11-25 18:39:19

108

Views

The condition that two matrix's associated quadratic space are isomorphic on $F_{11}$.

Published on 25 Nov 2019 - 18:39

score 1.3k · Answer 7 · 2026-03-22 16:50:08

1.3k

Views

How to reduce a quadric into canonical form without rigorous calculations?

Published on 22 Mar 2026 - 16:50

score 88 · Answer 8 · 2019-11-26 08:07:35

88

Views

Can we say that there is $P$ such that $P^T AP=B?$

Published on 26 Nov 2019 - 8:07

score 190 · Answer 9 · 2026-03-25 20:08:03

190

Views

Constrained quadratic form question with Hessian Matrix

Published on 25 Mar 2026 - 20:08

score 230 · Answer 10 · 2019-11-29 13:56:05

230

Views

Integral solution of $y^2=x^3-51$

Published on 29 Nov 2019 - 13:56

score 104 · Answer 11 · 2019-12-02 18:38:58

104

Views

Obtaining the underlying bilinear form from a Hermitian form

Published on 02 Dec 2019 - 18:38

score 178 · Answer 12 · 2019-12-07 14:03:29

178

Views

$x^2+k=y^3$ no integral solution

Published on 07 Dec 2019 - 14:03

score 601 · Answer 13 · 2026-03-27 03:59:58

601

Views

If $A$ and $B$ are real, symmetric, positive definite matrices, then prove that $A(A+B)^{-1}B$ is positive definite

Published on 27 Mar 2026 - 3:59

score 30 · Answer 14 · 2026-03-27 04:00:04

30

Views

Is maximizing $x^H A^{-1} x$ equivalent to minimizing $x^H A x$ for symmetric positive definite A?

Published on 27 Mar 2026 - 4:00

score 159 · Answer 15 · 2019-12-11 20:56:00

159

Views

show that the number of positive diagonal elements in the two diagonal matrices is the same

Published on 11 Dec 2019 - 20:56

List Question

The expectation of a hermitian matrix quadratic form $E\left[ \mathbf{XF}{{\mathbf{F}}^{H}}{{\mathbf{X}}^{H}} \right]$

What does this weird matrix notation mean?

Explain why the inertia of a Hermitian matrix is uniquely determined by its rank and signature

Real quadratic spaces and rational quadratic spaces

Reduced quadratic forms, reduced ideals.

The condition that two matrix's associated quadratic space are isomorphic on $F_{11}$.

How to reduce a quadric into canonical form without rigorous calculations?

Can we say that there is $P$ such that $P^T AP=B?$

Constrained quadratic form question with Hessian Matrix

Integral solution of $y^2=x^3-51$

Obtaining the underlying bilinear form from a Hermitian form

$x^2+k=y^3$ no integral solution

If $A$ and $B$ are real, symmetric, positive definite matrices, then prove that $A(A+B)^{-1}B$ is positive definite

Is maximizing $x^H A^{-1} x$ equivalent to minimizing $x^H A x$ for symmetric positive definite A?

show that the number of positive diagonal elements in the two diagonal matrices is the same

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