Newbetuts

Does convex functios $f$ always achieves a minimum on closed convex sets whenever the $f$ have an unconstrained minimum?

Closed Form Solution of $ \arg \min_{x} {\left\| x - y \right\|}_{2}^{2} + \lambda {\left\|x \right\|}_{2} $ - Tikhonov Regularized Least Squares

Maximize $\langle \mathrm A , \mathrm X \rangle$ subject to $\| \mathrm X \|_2 \leq 1$

Orthogonal Projection onto the Intersection of Convex Sets

$\exp(a)+\exp(b)+\exp(c)\leq \exp(1)+\exp(0)+\exp(0)$ when $0\leq a,b,c\leq 1$ and $a+b+c=1$

Least squares Problem with Non Negativity Constraints

Convergence of block coordinate descent over nonconvex sets

Convexity of the product of two functions in higher dimensions

Reading the primal solution from dual simplex tableau

Geometric intuition of conjugate function

How do you prove that $\{ Ax \mid x \geq 0 \}$ is closed?

Orthogonal Projection onto the Unit Simplex

If $f$ is convex and $t$ is greater or equal to 1, is f(tx) greater or equal to $tf(x)$?

What is the difference between minimum and infimum?

Derivation of Soft Thresholding Operator / Proximal Operator of $ {L}_{1} $ Norm

Difference between supremum and maximum

New posts in convex-optimization

Orthogonal Projection onto the $ {L}_{\infty} $ Unit Ball

Orthogonal Projection onto the $ {L}_{2} $ Unit Ball

Orthogonal Projection onto the $ {L}_{1} $ Unit Ball

Orthogonal Projection of $ z $ onto the Affine set $ \left\{ x \mid A x = b \right\} $

Does convex functios $f$ always achieves a minimum on closed convex sets whenever the $f$ have an unconstrained minimum?

Closed Form Solution of $ \arg \min_{x} {\left\| x - y \right\|}_{2}^{2} + \lambda {\left\|x \right\|}_{2} $ - Tikhonov Regularized Least Squares

Maximize $\langle \mathrm A , \mathrm X \rangle$ subject to $\| \mathrm X \|_2 \leq 1$

Orthogonal Projection onto the Intersection of Convex Sets

$\exp(a)+\exp(b)+\exp(c)\leq \exp(1)+\exp(0)+\exp(0)$ when $0\leq a,b,c\leq 1$ and $a+b+c=1$

Least squares Problem with Non Negativity Constraints

Convergence of block coordinate descent over nonconvex sets

Convexity of the product of two functions in higher dimensions

Reading the primal solution from dual simplex tableau

Geometric intuition of conjugate function

How do you prove that $\{ Ax \mid x \geq 0 \}$ is closed?

Orthogonal Projection onto the Unit Simplex

If $f$ is convex and $t$ is greater or equal to 1, is f(tx) greater or equal to $tf(x)$?

What is the difference between minimum and infimum?

Derivation of Soft Thresholding Operator / Proximal Operator of $ {L}_{1} $ Norm

Difference between supremum and maximum