Computation and Theory in Nonlinear Optimization.

Abstract

Researchers have made substantial progress in the decomposition of large-scale nonlinear problems for accelerated convergence. A Newton method for nonsmooth equations has been developed and conditions for its convergence determined. The original proposal suggested work in the general area of large-scale optimization: in particular, methods for decomposition based on the so-called Bundle method, decomposition of large-scale nonlinear problems, including parameter optimization in networks of queues, and accelerating the convergence of bundle-type methods, including developing the theory base in areas such as implementable second-order models of functions to be optimized. A particular area of work suggested as a major topic of investigation was the development of a computationally implementable and efficient Newton-type algorithm for nonsmooth problems. (jhd)

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Document Details

Document Type
Technical Report
Publication Date
Nov 14, 1988
Accession Number
ADA207610

Entities

People

  • Gregory M. Papadopoulos

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Computations
  • Convergence
  • Decomposition
  • Engineering
  • Equations
  • Estimators
  • Life Cycles
  • Mathematical Programming
  • Mathematics
  • Nonlinear Analysis
  • Numerical Analysis
  • Operations Research
  • Optimization
  • Simulations
  • Students
  • Systems Analysis

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  • Operations Research