Question

Is there any function∇ f which is monotone but f does not exist or is not convex i.e counter example to [∇ f is monotone ⟹ f is convex ]?

score 134 · Answer 1 · 2026-04-12 10:49:49

134

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Is there any function∇ f which is monotone but f does not exist or is not convex i.e counter example to [∇ f is monotone ⟹ f is convex ]?

Published on 12 Apr 2026 - 10:49

score 94 · Answer 2 · 2026-04-16 01:13:28

94

Views

Prove by induction that $b_n-a_n < (\frac {1}2)^n(b-a)$

Published on 16 Apr 2026 - 1:13

score 128 · Answer 3 · 2026-04-10 10:40:03

128

Views

Linear Optimization with non-linear constraint

Published on 10 Apr 2026 - 10:40

score 497 · Answer 4 · 2026-04-11 16:33:37

497

Views

Solve Linear Least Squares with Squared $ {L}_{2} $ Norm Regularization (Tikhonov / Ridge Regression) with Non Negativity Constraint Using FASTA

Published on 11 Apr 2026 - 16:33

score 41 · Answer 5 · 2026-04-08 03:34:05

41

Views

Multiobjective optimization involving convex function

Published on 08 Apr 2026 - 3:34

score 76 · Answer 6 · 2026-04-13 12:07:04

76

Views

prove function convexity

Published on 13 Apr 2026 - 12:07

score 190 · Answer 7 · 2026-04-14 11:45:40

190

Views

steepest descent quadratic single convergence

Published on 14 Apr 2026 - 11:45

score 104 · Answer 8 · 2026-04-16 06:21:50

104

Views

Vertex of the Intersection of Nonempty Convex Sets

Published on 16 Apr 2026 - 6:21

score 128 · Answer 9 · 2026-04-10 20:25:33

128

Views

Is the supremum of affine underestimators of a convex function the closure of the function?

Published on 10 Apr 2026 - 20:25

score 60 · Answer 10 · 2026-04-15 17:17:27

60

Views

vector of a nonempty set also a vector of the intersection of nonempty sets?

Published on 15 Apr 2026 - 17:17

score 98 · Answer 11 · 2026-04-13 21:11:06

98

Views

Does non-differentiability matter in numerical simulations if the points of non-differentiability form a set of measure zero?

Published on 13 Apr 2026 - 21:11

score 252 · Answer 12 · 2026-04-11 16:55:48

252

Views

Does a quadratic upper bound of subgradients imply unique subgradient (differentiability)?

Published on 11 Apr 2026 - 16:55

score 378 · Answer 13 · 2026-04-09 11:09:13

378

Views

Confused about vertex definition in "Introduction to Linear Optimization"

Published on 09 Apr 2026 - 11:09

score 87 · Answer 14 · 2026-04-14 08:31:57

87

Views

Nontrivial lower-bound for $\inf_{x \in \Delta_n} \|Gx\|$

Published on 14 Apr 2026 - 8:31

score 109 · Answer 15 · 2026-04-13 23:44:21

109

Views

Maximizing $Tr(W^TP\Sigma PW)$ where $P$ is an orthogonal projection matrix

Published on 13 Apr 2026 - 23:44

List Question

Is there any function∇ f which is monotone but f does not exist or is not convex i.e counter example to [∇ f is monotone ⟹ f is convex ]?

Prove by induction that $b_n-a_n < (\frac {1}2)^n(b-a)$

Linear Optimization with non-linear constraint

Solve Linear Least Squares with Squared $ {L}_{2} $ Norm Regularization (Tikhonov / Ridge Regression) with Non Negativity Constraint Using FASTA

Multiobjective optimization involving convex function

prove function convexity

steepest descent quadratic single convergence

Vertex of the Intersection of Nonempty Convex Sets

Is the supremum of affine underestimators of a convex function the closure of the function?

vector of a nonempty set also a vector of the intersection of nonempty sets?

Does non-differentiability matter in numerical simulations if the points of non-differentiability form a set of measure zero?

Does a quadratic upper bound of subgradients imply unique subgradient (differentiability)?

Confused about vertex definition in "Introduction to Linear Optimization"

Nontrivial lower-bound for $\inf_{x \in \Delta_n} \|Gx\|$

Maximizing $Tr(W^TP\Sigma PW)$ where $P$ is an orthogonal projection matrix

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