Iterative Methods for Large Linear and Nonlinear Least Squares Problems.

Abstract

Under a grant to 8 graduate students the most exciting research accomplishment is a new trust region approach to global convergence for nonlinear programming problems. Testing has also begun on a variable metric variant of the Kamarkar linear programming algorithm that could be of great practical significance if very preliminary tests are any indication. Other interesting work has been a unified convergence analysis for the many variants of the conjugate gradient method, a convergence analysis of the popular Nelder-Mead algorithm, a novel use of interactive computer graphics to obtain user preferences in multi-objective optimization, a convergence analysis of the EM algorithm for mixture density estimation, and a survey of all the work done by researchers in various fields on nonlinear programming problems in which some subset of the variables always appear linearly.

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Document Details

Document Type
Technical Report
Publication Date
Mar 31, 1986
Accession Number
ADA169028

Entities

People

  • John E. Dennis

Organizations

  • Rice University

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Computer Graphics
  • Computer Programming
  • Computers
  • Convergence
  • Evolutionary Algorithms
  • Graphics
  • Linear Programming
  • Military Research
  • Multiobjective Optimization
  • Nonlinear Programming
  • Numerical Analysis
  • Optimization
  • Scientists
  • South Carolina
  • Students
  • Universities

Fields of Study

  • Mathematics

Readers

  • Operations Research
  • Regression Analysis.
  • Research Science/Academic Research