List questions from optimization

Published on 09 Apr 2026 - 2:01

96

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Preference does not depend on wealth

Published on 09 Apr 2026 - 14:19

88

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Minima and maxima of $ab+\frac{1}{ab}$

Published on 10 Apr 2026 - 3:23

41

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What is the maximum modulus of a dot product over the distinguished boundary of the standard polydisc?

Published on 12 Apr 2026 - 2:48

96

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Using lagrange multiplier to find maximum of $f(p_1, ..., p_n, \lambda) = \prod_{i=1}^n p_i + \lambda \left(\sum_{i=1}^n p_i - c\right)$

Published on 16 Apr 2026 - 7:41

653

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Example of KKT conditions using single variable, how to set up

Published on 11 Apr 2026 - 21:32

73

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Find the rotation matrix R that minimizes $\Sigma(x_i^TR{x'}_i)^2$ given 3D vectors $x'_i$ and $x_i$ for i = 1...n

Published on 17 Apr 2026 - 2:57

483

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An interesting first order method

Published on 09 Apr 2026 - 1:46

161

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Why does the solution for CCA always lie in the span of the data?

Published on 12 Apr 2026 - 18:14

306

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Mixed integer nonlinear programming without relaxation of integer constraints

Published on 25 Mar 2026 - 9:32

473

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Vector proof of shortest distance from a point to a line: flaw in my reasoning.

Published on 16 Apr 2026 - 2:50

58

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Maximum and minimum of $\frac13x^3 - \frac32y^2 + 2x $ such that $x-y=0$

Published on 16 Apr 2026 - 8:05

394

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Maximize area of a quadrilateral given three sides

Published on 15 Apr 2026 - 12:53

170

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Duality Theorem Confusion

Published on 14 Apr 2026 - 13:23

44

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Egyptian fractions of the form `2/n` with smallest sum of denominators

Published on 26 Apr 2026 - 2:48

List Question

Optimization problem in a single variable.

Preference does not depend on wealth

Minima and maxima of $ab+\frac{1}{ab}$

What is the maximum modulus of a dot product over the distinguished boundary of the standard polydisc?

Using lagrange multiplier to find maximum of $f(p_1, ..., p_n, \lambda) = \prod_{i=1}^n p_i + \lambda \left(\sum_{i=1}^n p_i - c\right)$

Example of KKT conditions using single variable, how to set up

Find the rotation matrix R that minimizes $\Sigma(x_i^TR{x'}_i)^2$ given 3D vectors $x'_i$ and $x_i$ for i = 1...n

An interesting first order method

Why does the solution for CCA always lie in the span of the data?

Mixed integer nonlinear programming without relaxation of integer constraints

Vector proof of shortest distance from a point to a line: flaw in my reasoning.

Maximum and minimum of $\frac13x^3 - \frac32y^2 + 2x $ such that $x-y=0$

Maximize area of a quadrilateral given three sides

Duality Theorem Confusion

Egyptian fractions of the form `2/n` with smallest sum of denominators

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