Improved Convergence for Linear Systems Using Three-Part Splittings.

Abstract

A survey is presented of the author's theory of 3-part splittings and to its advantages over the 'classical' 2-part splittings (e.g. Gauss-Seidel, SOR). In particular - analysis is made for the case when the 2-part iteration matrix B has real spectrum, and pure complex spectrum. M. Neumann's work on 3-part splittings for rectangular matrices is part of the section of open problems.

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Document Details

Document Type
Technical Report
Publication Date
Jun 28, 1977
Accession Number
ADA041749

Entities

People

  • John De Pillis

Organizations

  • University of California, Riverside

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Accuracy
  • Analytic Functions
  • California
  • Computations
  • Construction
  • Convergence
  • Decomposition
  • Equations
  • Guarantees
  • Iterations
  • Linear Algebra
  • Linear Systems
  • New York
  • Scientific Research
  • Sequences
  • Spectra
  • Splitting

Fields of Study

  • Physics

Readers

  • Business Analytics
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Solar Physics