List questions from convex-optimization

Published on 10 Apr 2026 - 22:37

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Proximal Mapping of Least Squares with $ {L}_{1} $ and $ {L}_{2} $ Norm Terms Regularization (Similar to Elastic Net)

Published on 11 May 2026 - 8:29

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Convex envelop of Tr(XY)?

Published on 29 Mar 2026 - 12:05

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In convex optimization, must equality constraints be linear or affine?

Published on 12 Apr 2026 - 10:31

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Definition of the cone generated by a convex set in infinite dimensional space

Published on 27 Mar 2026 - 2:02

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Why must equality constraints be affine in convex optimization?

Published on 10 Apr 2026 - 15:56

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Moreau Decomposition in Terms of the Proximal Operator of the Conjugate Function

Published on 13 Apr 2026 - 1:43

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Solving an optimization problem with Lagrange multipliers.

Published on 10 Apr 2026 - 9:00

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Inequality for smooth convex function defined in non Euclidean norm

Published on 12 Apr 2026 - 3:13

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Can I solve by ADMM?

Published on 12 Apr 2026 - 10:51

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A non-degenerate basic feasible solution $(x_1, x_2, x_3, x_4, x_5, x_6)$ is

Published on 17 Apr 2026 - 4:15

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Prove that $f(x) - f(x^{}) \geq \frac{m}{2} \| x - x^{} \|^{2}$.

Published on 16 Apr 2026 - 18:50

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Is negative quadratic function quasiconvex?

Published on 09 Apr 2026 - 20:30

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Nonsingular Symmetric Matrix

Published on 12 Apr 2026 - 3:50

928

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An example of a closed cone whose image under a linear map is not closed?

Published on 13 Apr 2026 - 7:58

List Question

Proof of FONC in Nocedal and Wight's text

Proximal Mapping of Least Squares with $ {L}_{1} $ and $ {L}_{2} $ Norm Terms Regularization (Similar to Elastic Net)

Convex envelop of Tr(XY)?

In convex optimization, must equality constraints be linear or affine?

Definition of the cone generated by a convex set in infinite dimensional space

Why must equality constraints be affine in convex optimization?

Moreau Decomposition in Terms of the Proximal Operator of the Conjugate Function

Solving an optimization problem with Lagrange multipliers.

Inequality for smooth convex function defined in non Euclidean norm

Can I solve by ADMM?

A non-degenerate basic feasible solution $(x_1, x_2, x_3, x_4, x_5, x_6)$ is

Prove that $f(x) - f(x^{}) \geq \frac{m}{2} \| x - x^{} \|^{2}$.

Is negative quadratic function quasiconvex?

Nonsingular Symmetric Matrix

An example of a closed cone whose image under a linear map is not closed?

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