List questions from nonlinear-optimization

Published on 28 Mar 2026 - 9:50

41

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Can a function cease to decrease even at a non-critical point?

Published on 25 Nov 2016 - 18:02

180

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Descent method with Armijo criterion

Published on 29 Mar 2026 - 19:47

371

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Armijo criterion example

Published on 26 Nov 2016 - 19:51

64

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What is $f(y) \ge f(x) + \left<\nabla f(x), y-x\right>$ meaning in nonlinear optimization?

Published on 28 Nov 2016 - 0:20

144

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Multivariate-Multi-objective Optimization Problem: $x+y+z = 1$ and $x^2+y^2+z^2 = 1$

Published on 29 Nov 2016 - 7:17

1.2k

Views

Reformulate max over min of linear functions as a linear programming

Published on 30 Nov 2016 - 22:50

380

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Reference Request: Does $\lambda_\min\|x\|^2 \leq x^TPx \leq \lambda_\max\|x\|^2$ hold for positive semidefinite matrix?

Published on 01 Dec 2016 - 4:57

1.3k

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How to show that $f(x,y)=x^4+y^4-3xy$ is coercive?

Published on 23 Feb 2026 - 21:18

3.8k

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Is this correct: $\min (f(x)+g(x)+k(x)) \geq \min f(x)+ \min g(x)+ \min k(x)$?

Published on 03 Dec 2016 - 16:13

36

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If $f(x)$ is convex. Then, is $\sum_{a \in A}f(x).\alpha_a + \sum_{b \in B}f(x).\beta_b$ also convex

Published on 03 Dec 2016 - 17:36

2.1k

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Quasiconvex fucntions: local minimum is equal to global minimum

Published on 03 Dec 2016 - 21:02

377

Views

Bounded Quadratic Concave Minimization

Published on 04 Dec 2016 - 1:38

428

Views

Lagrange Multiplier Three Dimension

Published on 30 Mar 2026 - 12:36

49

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Regression/Optimization with two unknown matrices

Published on 30 Mar 2026 - 8:52

List Question

How to minimize trace of the following matrix?

Can a function cease to decrease even at a non-critical point?

Descent method with Armijo criterion

Armijo criterion example

What is $f(y) \ge f(x) + \left<\nabla f(x), y-x\right>$ meaning in nonlinear optimization?

Multivariate-Multi-objective Optimization Problem: $x+y+z = 1$ and $x^2+y^2+z^2 = 1$

Reformulate max over min of linear functions as a linear programming

Reference Request: Does $\lambda_\min\|x\|^2 \leq x^TPx \leq \lambda_\max\|x\|^2$ hold for positive semidefinite matrix?

How to show that $f(x,y)=x^4+y^4-3xy$ is coercive?

Is this correct: $\min (f(x)+g(x)+k(x)) \geq \min f(x)+ \min g(x)+ \min k(x)$?

If $f(x)$ is convex. Then, is $\sum_{a \in A}f(x).\alpha_a + \sum_{b \in B}f(x).\beta_b$ also convex

Quasiconvex fucntions: local minimum is equal to global minimum

Bounded Quadratic Concave Minimization

Lagrange Multiplier Three Dimension

Regression/Optimization with two unknown matrices

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