New posts in convex-optimization

Optimization of a function of two variables.

optimization convex-analysis convex-optimization nonlinear-optimization

Dual norm of the dual norm is the primal norm

convex-analysis normed-spaces convex-optimization duality-theorems

Proximal Mapping of Least Squares with $ {L}_{1} $ and $ {L}_{2} $ Norm Terms Regularization (Similar to Elastic Net)

convex-analysis convex-optimization normed-spaces subgradient proximal-operators

Is argmin of a sum of two functions equal to sum of each argmin?

optimization convex-analysis convex-optimization fractional-calculus

Prove the supremum of the set of affine functions is convex

real-analysis multivariable-calculus optimization convex-optimization nonlinear-optimization

Second derivative positive $\implies$ convex

real-analysis analysis convex-analysis convex-optimization

The LP formulation of a 2 player 0-sum game

optimization convex-optimization game-theory nash-equilibrium

Gradient of $\lVert A(X) - b\rVert^2$ with $A$ a linear operator

real-analysis linear-transformations convex-optimization

vector subset problem for linear approximation

linear-algebra combinatorics convex-optimization linear-programming quadratic-forms

How the dual LP solves the primal LP

linear-programming convex-optimization

Need help setting up and solving dual problem

convex-optimization nonlinear-optimization lagrange-multiplier duality-theorems quadratic-programming

Tangent cone to a set at a given point and first-order necessary optimality conditions

differential-geometry convex-analysis convex-optimization nonlinear-optimization operations-research

Is $q(x) = \frac{1}{2} x^T H x - g^T x$ strongly convex?

convex-analysis convex-optimization quadratic-programming

Prove if C is midpoint convex and closed then its a convex set

real-analysis convex-analysis convex-optimization

Does gradient descent converge to a minimum-norm solution in least-squares problems?

convex-optimization solution-verification least-squares gradient-descent quadratic-programming

Is inverse matrix convex?

matrices inequality convex-optimization

KKT and Slater's condition

convex-analysis convex-optimization

Legendre transform of a norm

linear-algebra convex-analysis convex-optimization

Multiple SDP constraints

optimization convex-optimization semidefinite-programming

Convexity and Affineness

convex-analysis convex-optimization