Question

Find the critical points of a multivariable function with constraints

score 660 · Answer 1 · 2021-10-07 05:23:12

660

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Find the critical points of a multivariable function with constraints

Published on 07 Oct 2021 - 5:23

score 191 · Answer 2 · 2021-10-10 00:18:58

191

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Convexity of multivariate functions

Published on 10 Oct 2021 - 0:18

score 366 · Answer 3 · 2021-10-18 12:16:53

366

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How to establish a local maximum if Hessian is negative semi-definite?

Published on 18 Oct 2021 - 12:16

score 163 · Answer 4 · 2021-10-25 03:13:53

163

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How can we take derivatives on $UV$ w.r.t a vector $\mathbf{x}$ by using the chain rule and $d(UV)=dU\cdot V + U\cdot dV$?

Published on 25 Oct 2021 - 3:13

score 64 · Answer 5 · 2021-10-30 13:00:58

64

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How can we calculate the derivative of Hessian, namely, the third derivative?

Published on 30 Oct 2021 - 13:00

score 185 · Answer 6 · 2021-10-31 20:17:41

185

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Convergence of steepest descent in the nonquadratic case - formal proof of Theorem 3.4 in Nocedal & Wright's book

Published on 31 Oct 2021 - 20:17

score 328 · Answer 7 · 2021-11-01 09:36:01

328

Views

Why is trace operation involved when calculating gradient and Hessian?

Published on 01 Nov 2021 - 9:36

score 60 · Answer 8 · 2026-03-27 02:37:48

60

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Why there is no $y_i$ term in $\frac{d^{2} J(\boldsymbol{\alpha})}{d \alpha_{i}^{2}}$?

Published on 27 Mar 2026 - 2:37

score 1k · Answer 9 · 2021-11-08 14:14:49

1k

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In what case Hessian matrix off-diagnal values are zero

Published on 08 Nov 2021 - 14:14

score 170 · Answer 10 · 2021-11-11 16:43:38

170

Views

How to calculate hessian of <Ax, x> / <x, x>

Published on 11 Nov 2021 - 16:43

score 121 · Answer 11 · 2021-11-11 22:09:35

121

Views

Understanding this theorem on Hessian matrices

Published on 11 Nov 2021 - 22:09

score 51 · Answer 12 · 2021-11-15 09:36:42

51

Views

How can $\underset{\mathbf{x} \in \mathbb{R}^2}{\text{min}} \frac{1}{2}\langle x, Ax \rangle + \langle B,x \rangle + c$ be unbounded

Published on 15 Nov 2021 - 9:36

score 224 · Answer 13 · 2021-11-17 11:04:26

224

Views

Questions on the Hessian matrix on the unit sphere $\mathcal S^2$

Published on 17 Nov 2021 - 11:04

score 120 · Answer 14 · 2021-11-23 16:50:50

120

Views

Max, min or saddle point?

Published on 23 Nov 2021 - 16:50

score 180 · Answer 15 · 2021-11-24 19:06:54

180

Views

Isolated critical point and Hessian matrix (doubt in a passage of the proof)

Published on 24 Nov 2021 - 19:06

List Question

Find the critical points of a multivariable function with constraints

Convexity of multivariate functions

How to establish a local maximum if Hessian is negative semi-definite?

How can we take derivatives on $UV$ w.r.t a vector $\mathbf{x}$ by using the chain rule and $d(UV)=dU\cdot V + U\cdot dV$?

How can we calculate the derivative of Hessian, namely, the third derivative?

Convergence of steepest descent in the nonquadratic case - formal proof of Theorem 3.4 in Nocedal & Wright's book

Why is trace operation involved when calculating gradient and Hessian?

Why there is no $y_i$ term in $\frac{d^{2} J(\boldsymbol{\alpha})}{d \alpha_{i}^{2}}$?

In what case Hessian matrix off-diagnal values are zero

How to calculate hessian of <Ax, x> / <x, x>

Understanding this theorem on Hessian matrices

How can $\underset{\mathbf{x} \in \mathbb{R}^2}{\text{min}} \frac{1}{2}\langle x, Ax \rangle + \langle B,x \rangle + c$ be unbounded

Questions on the Hessian matrix on the unit sphere $\mathcal S^2$

Max, min or saddle point?

Isolated critical point and Hessian matrix (doubt in a passage of the proof)

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