Question

Adjoint map and $V \cong V^{**}$

score 88 · Answer 1 · 2023-07-10 09:51:18

88

Views

Adjoint map and $V \cong V^{**}$

Published on 10 Jul 2023 - 9:51

score 75 · Answer 2 · 2023-07-10 15:45:28

75

Views

$\varphi(x)= \min\{\||x-u\||^2 ; u \in U \}$ is a quadratic form

Published on 10 Jul 2023 - 15:45

score 156 · Answer 3 · 2023-07-12 14:27:31

156

Views

Prove that the function $f(x_1 , x_2) = x_1 x_2$ is quasi-concave on $S = \mathbb{R}_{++}^2$

Published on 12 Jul 2023 - 14:27

score 118 · Answer 4 · 2023-08-16 12:13:20

118

Views

Show that the matrix $A$ is positive definite

Published on 16 Aug 2023 - 12:13

score 26 · Answer 5 · 2023-08-17 11:36:38

26

Views

Bilinear form associated to coxeter system

Published on 17 Aug 2023 - 11:36

score 113 · Answer 6 · 2023-08-24 18:55:37

113

Views

Definitions of non degenerate bilinear forms

Published on 24 Aug 2023 - 18:55

score 74 · Answer 7 · 2023-08-30 06:29:53

74

Views

Closed-form solution to maximization of rational function with linear and bilinear form

Published on 30 Aug 2023 - 6:29

score 20 · Answer 8 · 2023-09-21 09:23:42

20

Views

Fraction of bilinear forms vs bilinear form of fraction and the formulation of the objective function of Linear Discriminant Analysis

Published on 21 Sep 2023 - 9:23

score 145 · Answer 9 · 2023-10-05 11:07:42

145

Views

Double Orthogonal Complements in a Bilinear Form with a Specific Matrix

Published on 05 Oct 2023 - 11:07

score 48 · Answer 10 · 2026-03-25 17:44:44

48

Views

$f \mapsto b, b(r,m)=r\cdot f(m)$ gives an isomorphism of $R$-modules $\Phi_N : \text {Hom}_R(M,N) \rightarrow \text {Bilin}_R(R×M,N)$

Published on 25 Mar 2026 - 17:44

score 115 · Answer 11 · 2023-10-14 15:15:02

115

Views

Dimension of an isotropic subspace

Published on 14 Oct 2023 - 15:15

score 45 · Answer 12 · 2023-10-20 14:45:33

45

Views

Optimization problem: x and y that minimizes x^H A y

Published on 20 Oct 2023 - 14:45

score 42 · Answer 13 · 2023-10-27 14:47:03

42

Views

A Question About the Proof on Existence of Orthonormal Basis of a Nondegenerate Bilinear Form

Published on 27 Oct 2023 - 14:47

score 81 · Answer 14 · 2023-10-30 05:24:47

81

Views

Find the max and min of $(a \mathbf{x} + c)(b \mathbf{x} + d)$, where $\mathbf{x}$ is a vector with linear constraints.

Published on 30 Oct 2023 - 5:24

score 45 · Answer 15 · 2023-11-02 13:57:53

45

Views

Compare eigenvalues of comparable matrices

Published on 02 Nov 2023 - 13:57

List Question

Adjoint map and $V \cong V^{**}$

$\varphi(x)= \min\{\||x-u\||^2 ; u \in U \}$ is a quadratic form

Prove that the function $f(x_1 , x_2) = x_1 x_2$ is quasi-concave on $S = \mathbb{R}_{++}^2$

Show that the matrix $A$ is positive definite

Bilinear form associated to coxeter system

Definitions of non degenerate bilinear forms

Closed-form solution to maximization of rational function with linear and bilinear form

Fraction of bilinear forms vs bilinear form of fraction and the formulation of the objective function of Linear Discriminant Analysis

Double Orthogonal Complements in a Bilinear Form with a Specific Matrix

$f \mapsto b, b(r,m)=r\cdot f(m)$ gives an isomorphism of $R$-modules $\Phi_N : \text {Hom}_R(M,N) \rightarrow \text {Bilin}_R(R×M,N)$

Dimension of an isotropic subspace

Optimization problem: x and y that minimizes x^H A y

A Question About the Proof on Existence of Orthonormal Basis of a Nondegenerate Bilinear Form

Find the max and min of $(a \mathbf{x} + c)(b \mathbf{x} + d)$, where $\mathbf{x}$ is a vector with linear constraints.

Compare eigenvalues of comparable matrices

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