Question

Properties of solutions to system of linear equations with diagnonally dominant, positive (definite) matrix

score 205 · Answer 1 · 2026-03-25 10:21:49

205

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Properties of solutions to system of linear equations with diagnonally dominant, positive (definite) matrix

Published on 25 Mar 2026 - 10:21

score 50 · Answer 2 · 2017-04-05 19:18:03

50

Views

"Invert" a positive definite matrix in an inequality involving absolute value

Published on 05 Apr 2017 - 19:18

score 149 · Answer 3 · 2026-03-26 18:59:07

149

Views

Positive Definite Matrix Proof With Block Matrix

Published on 26 Mar 2026 - 18:59

score 45 · Answer 4 · 2026-03-25 15:43:48

45

Views

Is there a name for this class of operators, $T(x) = \sum_{j\geq 1} \lambda_j \langle x, u_j \rangle u_j$?

Published on 25 Mar 2026 - 15:43

score 115 · Answer 5 · 2026-03-27 10:47:48

115

Views

If the product of $n$ positive definite matrices is symmetric, is it also positive definite?

Published on 27 Mar 2026 - 10:47

score 148 · Answer 6 · 2023-02-04 14:24:45

148

Views

Can a symmetric positive definite matrix interpolation have linear trace and determinant?

Published on 04 Feb 2023 - 14:24

score 59 · Answer 7 · 2023-02-08 11:50:43

59

Views

$(I-cP)A^TA$ positive-definite?

Published on 08 Feb 2023 - 11:50

score 54 · Answer 8 · 2023-02-08 23:09:18

54

Views

Given positive matrix $H = A + i B \ge 0$, what constraints hold between real and imaginary parts $A$ and $B$?

Published on 08 Feb 2023 - 23:09

score 64 · Answer 9 · 2023-02-12 15:40:00

64

Views

symmetric function derived from a symmetric continuous pdf is positive definite?

Published on 12 Feb 2023 - 15:40

score 104 · Answer 10 · 2023-02-13 23:26:40

104

Views

A pdf in R is positive definite iff the real part of its characteristic function is nonnegative?

Published on 13 Feb 2023 - 23:26

score 75 · Answer 11 · 2023-02-15 07:17:44

75

Views

positive definiteness of $\left[\begin{array}{cc}B & C^\top \\ C & B\end{array}\right]$

Published on 15 Feb 2023 - 7:17

score 43 · Answer 12 · 2026-02-23 08:41:33

43

Views

Prove that sum of a positive matrix and a positive definite matrix is invertible

Published on 23 Feb 2026 - 8:41

score 114 · Answer 13 · 2023-02-19 16:23:20

114

Views

Finding where my proof that if $A$ and $B$ are positive-definite matrices, then $AB$ is positive-definite is wrong.

Published on 19 Feb 2023 - 16:23

score 104 · Answer 14 · 2023-02-20 22:03:25

104

Views

Is $A^*A$ a positive definite matrix?

Published on 20 Feb 2023 - 22:03

score 221 · Answer 15 · 2023-02-24 04:59:01

221

Views

If $Q$ is positive semidefinite and $x^TPx>0$, $\forall x\neq 0$ with $x^TQx=0$, then $P+cQ$ is positive definite if $c$ is sufficiently large?

Published on 24 Feb 2023 - 4:59

List Question

Properties of solutions to system of linear equations with diagnonally dominant, positive (definite) matrix

"Invert" a positive definite matrix in an inequality involving absolute value

Positive Definite Matrix Proof With Block Matrix

Is there a name for this class of operators, $T(x) = \sum_{j\geq 1} \lambda_j \langle x, u_j \rangle u_j$?

If the product of $n$ positive definite matrices is symmetric, is it also positive definite?

Can a symmetric positive definite matrix interpolation have linear trace and determinant?

$(I-cP)A^TA$ positive-definite?

Given positive matrix $H = A + i B \ge 0$, what constraints hold between real and imaginary parts $A$ and $B$?

symmetric function derived from a symmetric continuous pdf is positive definite?

A pdf in R is positive definite iff the real part of its characteristic function is nonnegative?

positive definiteness of $\left[\begin{array}{cc}B & C^\top \\ C & B\end{array}\right]$

Prove that sum of a positive matrix and a positive definite matrix is invertible

Finding where my proof that if $A$ and $B$ are positive-definite matrices, then $AB$ is positive-definite is wrong.

Is $A^*A$ a positive definite matrix?

If $Q$ is positive semidefinite and $x^TPx>0$, $\forall x\neq 0$ with $x^TQx=0$, then $P+cQ$ is positive definite if $c$ is sufficiently large?

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