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Title: Jordan-Algebraic Aspects of Nonconvex Optimization over Symmetric Cones

Abstract

We illustrate the usefulness of Jordan-algebraic techniques for nonconvex optimization by considering a potential-reduction algorithm for a nonconvex quadratic function over the domain obtained as the intersection of a symmetric cone with an affine subspace.

Authors:
;  [1]
  1. Department of Mathematics, University of Notre Dame, 255 Hurley Hall, Notre Dame, IN 46556 (United States), E-mail: ylu4@nd.edu
Publication Date:
OSTI Identifier:
21064214
Resource Type:
Journal Article
Resource Relation:
Journal Name: Applied Mathematics and Optimization; Journal Volume: 53; Journal Issue: 1; Other Information: DOI: 10.1007/s00245-005-0835-0; Copyright (c) 2006 Springer; www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGORITHMS; CONES; FUNCTIONS; OPTIMIZATION; POTENTIALS

Citation Formats

Faybusovich, Leonid, E-mail: leonid.faybusovich.1@nd.edu, and Lu Ye. Jordan-Algebraic Aspects of Nonconvex Optimization over Symmetric Cones. United States: N. p., 2006. Web. doi:10.1007/S00245-005-0835-0.
Faybusovich, Leonid, E-mail: leonid.faybusovich.1@nd.edu, & Lu Ye. Jordan-Algebraic Aspects of Nonconvex Optimization over Symmetric Cones. United States. doi:10.1007/S00245-005-0835-0.
Faybusovich, Leonid, E-mail: leonid.faybusovich.1@nd.edu, and Lu Ye. Sun . "Jordan-Algebraic Aspects of Nonconvex Optimization over Symmetric Cones". United States. doi:10.1007/S00245-005-0835-0.
@article{osti_21064214,
title = {Jordan-Algebraic Aspects of Nonconvex Optimization over Symmetric Cones},
author = {Faybusovich, Leonid, E-mail: leonid.faybusovich.1@nd.edu and Lu Ye},
abstractNote = {We illustrate the usefulness of Jordan-algebraic techniques for nonconvex optimization by considering a potential-reduction algorithm for a nonconvex quadratic function over the domain obtained as the intersection of a symmetric cone with an affine subspace.},
doi = {10.1007/S00245-005-0835-0},
journal = {Applied Mathematics and Optimization},
number = 1,
volume = 53,
place = {United States},
year = {Sun Jan 15 00:00:00 EST 2006},
month = {Sun Jan 15 00:00:00 EST 2006}
}