List questions from convex-optimization

Published on 25 Mar 2026 - 6:08

218

Views

Show that $(A^TA)^{-1} A^T$ minimizes $\mbox{Tr}(X^T X)$ over all matrices $X$ such that $XA = I$

Published on 25 Mar 2026 - 7:53

53

Views

Maximizing $\mbox{Tr}(MX)$ over $X \succeq 0$ with diagonal entries at most $1$

Published on 24 Mar 2026 - 20:41

87

Views

Why do consecutive iterates need to be “close” in matrix secant methods?

Published on 19 Mar 2026 - 18:26

88

Views

Exercise about constraint qualifications?

Published on 25 Mar 2026 - 9:33

1.1k

Views

Finding cones of directions

Published on 24 Mar 2026 - 23:44

55

Views

Minimum of convex sum

Published on 03 Jun 2018 - 13:19

352

Views

Cone of tangents of $S=\{(x,y):y\ge-x^3\}$

Published on 21 Mar 2026 - 23:44

45

Views

showing strictly qusi convex?

Published on 21 Mar 2026 - 16:21

169

Views

Slater's condition in conic programming

Published on 24 Mar 2026 - 20:40

86

Views

Convex problem with multiple global optima

Published on 04 Jun 2018 - 15:53

990

Views

Why is the subgradient not a descent method?

Published on 25 Mar 2026 - 4:35

375

Views

Affine combination also in affine set: do one of the coefficients have to not be $1$?

Published on 06 Jun 2018 - 12:22

294

Views

tangent cone and simplex

Published on 25 Mar 2026 - 2:57

3.6k

Views

Convex + Monotone =? Convex

Published on 25 Mar 2026 - 7:47

List Question

Why the dual function $\theta(u)$ is wrong?

Show that $(A^TA)^{-1} A^T$ minimizes $\mbox{Tr}(X^T X)$ over all matrices $X$ such that $XA = I$

Maximizing $\mbox{Tr}(MX)$ over $X \succeq 0$ with diagonal entries at most $1$

Why do consecutive iterates need to be “close” in matrix secant methods?

Exercise about constraint qualifications?

Finding cones of directions

Minimum of convex sum

Cone of tangents of $S=\{(x,y):y\ge-x^3\}$

showing strictly qusi convex?

Slater's condition in conic programming

Convex problem with multiple global optima

Why is the subgradient not a descent method?

Affine combination also in affine set: do one of the coefficients have to not be $1$?

tangent cone and simplex

Convex + Monotone =? Convex

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