Benedetta Morini – Page 4 – Optimization Online

An interior Newton-like method for nonnegative least-squares problems with degenerate solution

Published: 2005/12/12

Nonlinear Optimization convex quadratic programming, degeneracy, global convergence, inexact newton methods, interior point methods

An interior point approach for medium and large nonnegative linear least-squares problems is proposed. Global and locally quadratic convergence is shown even if a degenerate solution is approached. Viable approaches for implementation are discussed and numerical results are provided. CitationTechnical Report 1/2005, Dipartimento di Energetica ‘S. Stecco’, Universita di Firenze, ItaliaArticleDownload View PDF

Subspace trust-region methods for large bound-constrained nonlinear equations

Published: 2004/07/22

Stefania Bellavia

Benedetta Morini

Nonlinear Optimization bound-constrained nonlinear systems, inexact newton step, krylov subspace methods, subspace trust-region methods

Trust-region methods for solving large bound-constrained nonlinear systems are considered. They allow for spherical or elliptical trust-regions where the search of an approximate solution is restricted to a low dimensional space. A general formulation for these methods is introduced and global and superlinear/quadratic convergence is shown under standard assumptions. Viable approaches for implementation in conjunction … Read more