The Modified Conjugate Residual Method for Partial Differential Equations.

Abstract

This paper presents the Modified Conjugate Residual (MCR) Method, a stabilized version of Luenberger's Method of Conjugate Residuals, for solving large sparse systems of linear equations. This iterative method has special significance when the system is not positive definite so that methods like Conjugate Gradients are inapplicable. In the special case when the system is positive definite, MCR reduces to one of the family of general conjugate gradient methods discussed by Hestenes.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1977
Accession Number
ADA047727

Entities

People

  • Martin H. Schultz
  • Rohan Chandra
  • S. C. Eisenstat

Organizations

  • Yale University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Computations
  • Computer Science
  • Convergence
  • Differential Equations
  • Eigenvalues
  • Equations
  • Finite Element Analysis
  • Identities
  • Intervals
  • Iterations
  • Linear Systems
  • Mathematics
  • Military Research
  • Partial Differential Equations
  • Residuals

Fields of Study

  • Mathematics

Readers

  • Linear Algebra