Developing and Understanding Methods for Large-Scale Nonlinear Optimization

Abstract

During the course of this grant, we have made further progress on our optimization approach for protein structure prediction. This includes development of a preconditioned limited-memory quasi-Newton method, which should have broader applicability. We have also developed and analyzed a method for constrained optimization that uses a linear programming subproblem as an active set predictor. In our work on tensor methods we have developed a tensor method for large-scale nonlinear systems of equations using a Krylov iteration to compute the step.

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Document Details

Document Type
Technical Report
Publication Date
Jul 24, 2006
Accession Number
ADA454804

Entities

People

  • Richard H. Byrd
  • Robert B. Schnabel

Organizations

  • University of Colorado Boulder

Tags

Communities of Interest

  • Energy and Power Technologies
  • Human Systems

DTIC Thesaurus Topics

  • Algorithms
  • Chemistry
  • Computational Science
  • Computer Programming
  • Computer Science
  • Computer Simulations
  • Computers
  • Convergence
  • Engineering
  • Linear Programming
  • Mathematical Programming
  • Numerical Analysis
  • Optimization
  • Quadratic Programming
  • Scientists
  • Simulations
  • Students

Readers

  • Linear Algebra
  • Operations Research
  • Technical Research and Report Writing.