New posts in convex-optimization

The Proximal Operator of the $ {L}_{1} $ Norm Function [duplicate]

optimization convex-analysis convex-optimization nonlinear-optimization proximal-operators

Optimality condition of a convex function that is a.e. differentiable

real-analysis derivatives optimization convex-analysis convex-optimization

How to set up Lagrangian optimization with matrix constrains

optimization convex-optimization lagrange-multiplier

Minimization of positive quadratic function using gradient descent in at most $ n $ steps

optimization convex-optimization numerical-optimization gradient-descent quadratic-programming

If the Minkowski sum of two convex closed sets is a Euclidean ball, then can the two sets be anything other than Euclidean balls?

euclidean-geometry convex-optimization convex-analysis

Convergence of steepest descent dynamics under weak convexity assumption

ordinary-differential-equations optimization convex-optimization gradient-flows

The Proximal Operator of the $ {L}_{\infty} $ (Infinity Norm)

convex-analysis convex-optimization subgradient proximal-operators

Convexity of infimum function

convex-analysis convex-optimization nonlinear-analysis

Why is the affine hull of the unit circle $\mathbb R^2$?

convex-analysis convex-optimization affine-geometry

Constructing a quasiconvex function

functions convex-analysis convex-optimization

Finding the polar cone of the given cone

linear-algebra convex-analysis convex-optimization convex-cone

Maximizing a linear function over an ellipsoid

optimization convex-optimization qclp

How many convex functions are there in $[0,1]^2$?

algorithms convex-analysis convex-optimization

Pointwise infimum of affine functions is concave

convex-optimization lagrange-multiplier

Proof that the intersection of any finite number of convex sets is a convex set

convex-analysis convex-optimization

Physical interpretation and notions about conjugate function?

functions convex-analysis convex-optimization

Dual Linear Program

optimization convex-optimization linear-programming

$ {L}_{1} $ Regularized Unconstrained Optimization Problem

optimization convex-optimization machine-learning proximal-operators

Why is convexity more important than quasi-convexity in optimization?

optimization computer-science intuition convex-optimization

If $0\notin\partial f(x_k)$ then any $-\xi\in-\partial f(x_k)$ is a descent direction.

convex-optimization subgradient