Question

Find all local maxima and minima of $x^2+y^2$ subject to the constraint $x^2+2y=6$. Does $x^2+y^2$ have a global max/min on the same constraint?

score 1.3k · Answer 1 · 2026-05-07 12:42:09

1.3k

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Find all local maxima and minima of $x^2+y^2$ subject to the constraint $x^2+2y=6$. Does $x^2+y^2$ have a global max/min on the same constraint?

Published on 07 May 2026 - 12:42

score 604 · Answer 2 · 2026-05-05 14:55:19

604

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Find largest possible value of $x^2+y^2$ given that $x^2+y^2=2x-2y+2$

Published on 05 May 2026 - 14:55

score 249 · Answer 3 · 2026-05-04 21:16:06

249

Views

Minimize $x^T A y$, subject to $ x^Ty\geq 0$, where $A=\Phi^T\Phi$ is symmtric and semi-positive definite.

Published on 04 May 2026 - 21:16

score 253 · Answer 4 · 2026-05-05 11:11:21

253

Views

Trace maximization with semi-orthogonal constraint

Published on 05 May 2026 - 11:11

score 414 · Answer 5 · 2026-05-04 14:22:03

414

Views

Maximimization problem with quadratic equality constraint

Published on 04 May 2026 - 14:22

score 216 · Answer 6 · 2026-05-05 15:17:02

216

Views

How to handle equality constraints in this problem?

Published on 05 May 2026 - 15:17

score 202 · Answer 7 · 2026-05-05 13:35:59

202

Views

Minimizing quadratic objective subject to a quadratic equality constraint

Published on 05 May 2026 - 13:35

score 288 · Answer 8 · 2026-05-05 02:02:02

288

Views

What are the maximum and minimum values of $4x + y^2$ subject to $2x^2 + y^2 = 4$?

Published on 05 May 2026 - 2:02

score 1.3k · Answer 9 · 2026-05-04 21:35:30

1.3k

Views

Minimizing Quadratic Form with Norm and Positive Orthant Constraints

Published on 04 May 2026 - 21:35

score 99 · Answer 10 · 2026-05-05 04:09:42

99

Views

Does this optimization problem have a closed form solution?

Published on 05 May 2026 - 4:09

score 484 · Answer 11 · 2026-05-05 11:35:13

484

Views

Least squares minimization subject to generalized orthogonality constraint?

Published on 05 May 2026 - 11:35

score 1.4k · Answer 12 · 2026-05-05 06:25:19

1.4k

Views

Conversion of convex QCQP to standard form SDP

Published on 05 May 2026 - 6:25

score 629 · Answer 13 · 2026-05-10 14:15:29

629

Views

Semidefinite relaxation for QCQP with nonconvex "homogeneous" constraints

Published on 10 May 2026 - 14:15

score 576 · Answer 14 · 2026-05-10 12:31:24

576

Views

Maximizing a bivariate quadratic form with Lagrange's method

Published on 10 May 2026 - 12:31

score 1.5k · Answer 15 · 2026-05-10 12:34:00

1.5k

Views

Convert a non-convex QCQP into a convex counterpart

Published on 10 May 2026 - 12:34

List Question

Find all local maxima and minima of $x^2+y^2$ subject to the constraint $x^2+2y=6$. Does $x^2+y^2$ have a global max/min on the same constraint?

Find largest possible value of $x^2+y^2$ given that $x^2+y^2=2x-2y+2$

Minimize $x^T A y$, subject to $ x^Ty\geq 0$, where $A=\Phi^T\Phi$ is symmtric and semi-positive definite.

Trace maximization with semi-orthogonal constraint

Maximimization problem with quadratic equality constraint

How to handle equality constraints in this problem?

Minimizing quadratic objective subject to a quadratic equality constraint

What are the maximum and minimum values of $4x + y^2$ subject to $2x^2 + y^2 = 4$?

Minimizing Quadratic Form with Norm and Positive Orthant Constraints

Does this optimization problem have a closed form solution?

Least squares minimization subject to generalized orthogonality constraint?

Conversion of convex QCQP to standard form SDP

Semidefinite relaxation for QCQP with nonconvex "homogeneous" constraints

Maximizing a bivariate quadratic form with Lagrange's method

Convert a non-convex QCQP into a convex counterpart

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