Question

Ordered field, Bounded set, and the containment

score 142 · Answer 1 · 2015-10-24 00:29:23

142

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Ordered field, Bounded set, and the containment

Published on 24 Oct 2015 - 0:29

score 229 · Answer 2 · 2015-10-24 07:54:48

229

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Inequality involving a convex function

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score 4.1k · Answer 3 · 2026-04-20 11:38:43

4.1k

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Examples of tangent cone

Published on 20 Apr 2026 - 11:38

score 83 · Answer 4 · 2015-10-26 02:53:58

83

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Suppose that $f = ι_{\mathbb{R}_+}$. Show that

Published on 26 Oct 2015 - 2:53

score 1.4k · Answer 5 · 2015-10-26 20:28:14

1.4k

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Show that a real-valued function with non-empty subdifferential is convex

Published on 26 Oct 2015 - 20:28

score 581 · Answer 6 · 2015-10-27 06:12:59

581

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soft thresholding derivation with two terms

Published on 27 Oct 2015 - 6:12

score 1.8k · Answer 7 · 2026-04-19 16:49:56

1.8k

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Simplex Method and Unrestricted Variables

Published on 19 Apr 2026 - 16:49

score 82 · Answer 8 · 2015-10-28 02:50:56

82

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Assuming that $f$ is convex and continuous from the right at zero show that $∂f(0)$ is empty using the definition of the subdifferential.

Published on 28 Oct 2015 - 2:50

score 455 · Answer 9 · 2015-10-29 14:10:29

455

Views

Proof of Stiemke's Theorem via Dubovitskii–Milyutin

Published on 29 Oct 2015 - 14:10

score 124 · Answer 10 · 2015-10-29 18:31:55

124

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Suppose that f : X → ]−∞, +∞] is convex and proper, that x ̄ ∈ dom f and that λ > 0. Show that

Published on 29 Oct 2015 - 18:31

score 410 · Answer 11 · 2015-10-29 19:40:57

410

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How to show that $f:\mathbb{R}^n\to\mathbb{R},\quad f(x)=\log\big[\sum_{i=1}^{n}{e^{x_i}}\big]$ is convex on dom$f=\mathbb{R}^n$

Published on 29 Oct 2015 - 19:40

score 125 · Answer 12 · 2015-10-30 16:12:03

125

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Linear Convex Decomposition

Published on 30 Oct 2015 - 16:12

score 41 · Answer 13 · 2015-10-31 21:16:26

41

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Suppose that $f$ and $g$ are functions from $X$ to $ ]-\infty, +\infty ]$

Published on 31 Oct 2015 - 21:16

score 67 · Answer 14 · 2015-10-31 22:22:02

67

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Determine the domain of $(f\oplus g)$ in terms of the domains of $f$ and $g$

Published on 31 Oct 2015 - 22:22

score 54 · Answer 15 · 2015-11-01 03:28:58

54

Views

How to design a strict constraint term (never violate this constraint) for matrix decomposition

Published on 01 Nov 2015 - 3:28

List Question

Ordered field, Bounded set, and the containment

Inequality involving a convex function

Examples of tangent cone

Suppose that $f = ι_{\mathbb{R}_+}$. Show that

Show that a real-valued function with non-empty subdifferential is convex

soft thresholding derivation with two terms

Simplex Method and Unrestricted Variables

Assuming that $f$ is convex and continuous from the right at zero show that $∂f(0)$ is empty using the definition of the subdifferential.

Proof of Stiemke's Theorem via Dubovitskii–Milyutin

Suppose that f : X → ]−∞, +∞] is convex and proper, that x ̄ ∈ dom f and that λ > 0. Show that

How to show that $f:\mathbb{R}^n\to\mathbb{R},\quad f(x)=\log\big[\sum_{i=1}^{n}{e^{x_i}}\big]$ is convex on dom$f=\mathbb{R}^n$

Linear Convex Decomposition

Suppose that $f$ and $g$ are functions from $X$ to $ ]-\infty, +\infty ]$

Determine the domain of $(f\oplus g)$ in terms of the domains of $f$ and $g$

How to design a strict constraint term (never violate this constraint) for matrix decomposition

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