Convex optimization mathematical

  • What is convex set in mathematics?

    A convex set is a collection of points in which the line AB connecting any two points A, B in the set lies completely within the set.
    In other words, A subset S of En is considered to be convex if any linear combination θx1 + (1 − θ)x2, (0 ≤ θ ≤ 1) is also included in S for all pairs of x1, x2 ∈ S..

  • What is the mathematical optimisation theory?

    Mathematical optimization (alternatively spelled optimisation) or mathematical programming is the selection of a best element, with regard to some criterion, from some set of available alternatives.
    It is generally divided into two subfields: discrete optimization and continuous optimization..

In convex optimization, we use math to solve problems by finding the lowest point (or sometimes the highest point) in these smooth shapes. We have a special function that tells us how high or low each point is, and we want to find the point that gives us the lowest value for that function.

Categories

Convex matrix optimization
Convex matrix optimization problem
Convex math optimization problem
Convex optimization parameters
Python convex optimization package
Matlab convex optimization package
Convex optimization problem paper
Parametric convex optimization
Parametric convex optimization problem
Convex quadratic optimization problem
Quantum convex optimization
Convex qcqp
Non-convex optimization saddle point
Convex optimization complex variables
Convex optimization change of variables
Convex optimal value
Water convex optimization
Convex optimization ways
Convex functions
Convex optimization ml