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Long-Step Path-Following Algorithm for Solving Symmetric Programming Problems with Nonlinear Objective Functions

Leonid Faybusovich(leonid.faybusovich.1***at***nd.edu)
Cunlu Zhou(zhou.43***at***nd.edu)

Abstract: We describe a long-step path-following algorithm for a class of symmetric programming problems with nonlinear convex objective functions. The complexity estimates similar to the case of a linear-quadratic objective function are established. The results of numerical experiments for the class of optimization problems involving quantum entropy are presented.

Keywords: Symmetric programming ,Nonlinear objective functions , Interior-point methods

Category 1: Convex and Nonsmooth Optimization (Convex Optimization )

Category 2: Linear, Cone and Semidefinite Programming

Citation: Preprint, University of Notre Dame, December 2017

Download: [PDF]

Entry Submitted: 12/12/2017
Entry Accepted: 12/12/2017
Entry Last Modified: 12/12/2017

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