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 · 2026-03-17 23:25:12

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 17 Mar 2026 - 23:25

score 596 · Answer 2 · 2026-03-21 14:47:42

596

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

Published on 21 Mar 2026 - 14:47

score 231 · Answer 3 · 2026-03-17 06:54:54

231

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 17 Mar 2026 - 6:54

score 243 · Answer 4 · 2026-03-22 19:43:43

243

Views

Trace maximization with semi-orthogonal constraint

Published on 22 Mar 2026 - 19:43

score 402 · Answer 5 · 2026-03-17 02:00:52

402

Views

Maximimization problem with quadratic equality constraint

Published on 17 Mar 2026 - 2:00

score 205 · Answer 6 · 2026-03-22 08:32:22

205

Views

How to handle equality constraints in this problem?

Published on 22 Mar 2026 - 8:32

score 194 · Answer 7 · 2026-03-17 22:17:32

194

Views

Minimizing quadratic objective subject to a quadratic equality constraint

Published on 17 Mar 2026 - 22:17

score 280 · Answer 8 · 2026-03-17 04:36:36

280

Views

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

Published on 17 Mar 2026 - 4:36

score 1.3k · Answer 9 · 2026-03-17 00:32:02

1.3k

Views

Minimizing Quadratic Form with Norm and Positive Orthant Constraints

Published on 17 Mar 2026 - 0:32

score 89 · Answer 10 · 2026-03-17 01:20:11

89

Views

Does this optimization problem have a closed form solution?

Published on 17 Mar 2026 - 1:20

score 474 · Answer 11 · 2026-03-17 00:32:45

474

Views

Least squares minimization subject to generalized orthogonality constraint?

Published on 17 Mar 2026 - 0:32

score 1.3k · Answer 12 · 2026-03-22 23:41:08

1.3k

Views

Conversion of convex QCQP to standard form SDP

Published on 22 Mar 2026 - 23:41

score 619 · Answer 13 · 2026-03-24 11:15:00

619

Views

Semidefinite relaxation for QCQP with nonconvex "homogeneous" constraints

Published on 24 Mar 2026 - 11:15

score 569 · Answer 14 · 2026-03-25 01:21:34

569

Views

Maximizing a bivariate quadratic form with Lagrange's method

Published on 25 Mar 2026 - 1:21

score 1.4k · Answer 15 · 2026-03-25 01:16:38

1.4k

Views

Convert a non-convex QCQP into a convex counterpart

Published on 25 Mar 2026 - 1:16

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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