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University of Illinois at Urbana-Champaign

Optimum Semi-Iterative Methods for the Solution of Any Linear Algebraic System With a Square Matrix

Abstract

dc:description

In 1975, T. A. Manteuffel developed a method for the iterative solution of a non-symmetric linear system, Ax = b, when the eigenvalues have positive real parts. The iterative parameters are reciprocals of the roots of a scaled and translated Chebyshev polynomial and depend upon an ellipse enclosing the spectrum of the system matrix.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Computer Science
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2014

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Smolarski, Dennis Chester

Subjects

dc:subject × 1

Identifiers

dc:identifier.*
Identifier
(UMI)AAI8218567
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/69508

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Smolarski, Dennis Chester. Optimum Semi-Iterative Methods for the Solution of Any Linear Algebraic System With a Square Matrix. Dissertation thesis, University of Illinois at Urbana-Champaign, 2014. http://hdl.handle.net/2142/69508