Question

Showing a function $f \colon \mathbb{R}^{d \times d} \times \mathbb{R}^d \to \mathbb{R}$ is in $C^1$.

score 33 · Answer 1 · 2019-03-11 16:57:45

33

Views

Showing a function $f \colon \mathbb{R}^{d \times d} \times \mathbb{R}^d \to \mathbb{R}$ is in $C^1$.

Published on 11 Mar 2019 - 16:57

score 506 · Answer 2 · 2019-03-12 21:55:21

506

Views

Is there a fast way to compute the lowest eigenvalue of this symmetric PD matrix in this specific scenario?

Published on 12 Mar 2019 - 21:55

score 716 · Answer 3 · 2019-03-13 02:42:39

716

Views

Show that DFP update preserve Positive Definiteness?

Published on 13 Mar 2019 - 2:42

score 427 · Answer 4 · 2019-03-14 09:04:46

427

Views

Intermediate matrices in the positive definite ordering.

Published on 14 Mar 2019 - 9:04

score 308 · Answer 5 · 2019-03-15 01:32:37

308

Views

Let $A, B$ be two positive definite $2 \times 2$ matrices. Prove or disprove: $AB+BA$ is positive definite.

Published on 15 Mar 2019 - 1:32

score 207 · Answer 6 · 2019-03-15 09:44:18

207

Views

Sum of two positive denfinite matrices invertible -- where is my mistake?

Published on 15 Mar 2019 - 9:44

score 20 · Answer 7 · 2019-03-19 20:02:12

20

Views

Showing $\Omega = PP'$ implies $P^{-1}\Omega(P')^{-1} = I$, where $\Omega$

Published on 19 Mar 2019 - 20:02

score 1.5k · Answer 8 · 2019-03-21 07:42:19

1.5k

Views

After multiplying a positive definite matrix several times to 'a vector A', still less than 90 degree between the 'vector A' and the 'mapped vector'?

Published on 21 Mar 2019 - 7:42

score 286 · Answer 9 · 2026-03-26 01:01:59

286

Views

Why is positive definiteness required for a global minimum to exist?

Published on 26 Mar 2026 - 1:01

score 1.1k · Answer 10 · 2019-03-28 17:12:16

1.1k

Views

Solving a system by using Cholesky Decomposition $\mathbf L\mathbf D\mathbf L^\top$

Published on 28 Mar 2019 - 17:12

score 10.2k · Answer 11 · 2026-03-25 13:59:52

10.2k

Views

Determinant of a positive semi-definite matrix

Published on 25 Mar 2026 - 13:59

score 1.1k · Answer 12 · 2026-03-26 03:12:48

1.1k

Views

Prove that $f$ is strictly convex iff $A$ is positive definite

Published on 26 Mar 2026 - 3:12

score 115 · Answer 13 · 2026-03-25 12:28:25

115

Views

Stationary point of $(x_2 - x_1^2)^2 + x_1^5 $not local max/min

Published on 25 Mar 2026 - 12:28

score 77 · Answer 14 · 2019-04-03 15:33:04

77

Views

when x'y >0 and A is positive definite matrix, x' A y >0?

Published on 03 Apr 2019 - 15:33

score 79 · Answer 15 · 2019-04-03 16:13:53

79

Views

positive definite function

Published on 03 Apr 2019 - 16:13

List Question

Showing a function $f \colon \mathbb{R}^{d \times d} \times \mathbb{R}^d \to \mathbb{R}$ is in $C^1$.

Is there a fast way to compute the lowest eigenvalue of this symmetric PD matrix in this specific scenario?

Show that DFP update preserve Positive Definiteness?

Intermediate matrices in the positive definite ordering.

Let $A, B$ be two positive definite $2 \times 2$ matrices. Prove or disprove: $AB+BA$ is positive definite.

Sum of two positive denfinite matrices invertible -- where is my mistake?

Showing $\Omega = PP'$ implies $P^{-1}\Omega(P')^{-1} = I$, where $\Omega$

After multiplying a positive definite matrix several times to 'a vector A', still less than 90 degree between the 'vector A' and the 'mapped vector'?

Why is positive definiteness required for a global minimum to exist?

Solving a system by using Cholesky Decomposition $\mathbf L\mathbf D\mathbf L^\top$

Determinant of a positive semi-definite matrix

Prove that $f$ is strictly convex iff $A$ is positive definite

Stationary point of $(x_2 - x_1^2)^2 + x_1^5 $not local max/min

when x'y >0 and A is positive definite matrix, x' A y >0?

positive definite function

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