Quasi-Newton Updating for Large Scale Nonlinear Systems.

Abstract

Research was directed toward developing robust and efficient iterative methods for large-scale systems of nonlinear algebraic equations, especially discretizations of continuous problems such as partial differential and integral equations. The specific goal was to develop effective Newton iterative methods (implementations of Newton's method using iterative linear algebra methods) and improved iterative linear solvers for use in them. A theoretically sound abstract framework was formulated. Significant progress was made toward a well-developed software implementation. Useful advances were made in the development and understanding of iterative linear solvers. (AN)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1994
Accession Number
ADA292776

Entities

People

  • H. F. Walker

Organizations

  • Utah State University

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Human Systems

DTIC Thesaurus Topics

  • Abstracts
  • Algebra
  • Algorithms
  • Applied Mathematics
  • Computations
  • Computer Science
  • Computers
  • Differential Equations
  • Equations
  • Integral Equations
  • Linear Algebra
  • Linear Systems
  • Mathematics
  • Nonlinear Systems
  • Numerical Analysis
  • Parallel Computing
  • Students

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Theoretical Analysis.