Acceleration of convergence of static and dynamic iterations

K. Burrage, G. Hertono, Zdzislaw Jackiewicz, Bruno Welfert

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

A new technique for acceleration of convergence of static and dynamic iterations for systems of linear equations and systems of linear differential equations is proposed. This technique is based on splitting the matrix of the system in such a way that the resulting iteration matrix has a minimal spectral radius for linear systems and a minimal spectral radius for some value of a parameter in Laplace transform domain for linear differential systems.

Original languageEnglish (US)
Pages (from-to)645-655
Number of pages11
JournalBIT Numerical Mathematics
Volume41
Issue number4
StatePublished - Dec 2001

Fingerprint

Acceleration of Convergence
Linear systems
Linear Systems
Spectral Radius
Iteration
Laplace transforms
Linear equations
Differential equations
System of Linear Equations
Linear differential equation
Differential System
Laplace transform

Keywords

  • Acceleration of convergence &
  • Linear differen
  • Static and dynamic iterations
  • Tial systems

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Software
  • Applied Mathematics
  • Computational Mathematics

Cite this

Acceleration of convergence of static and dynamic iterations. / Burrage, K.; Hertono, G.; Jackiewicz, Zdzislaw; Welfert, Bruno.

In: BIT Numerical Mathematics, Vol. 41, No. 4, 12.2001, p. 645-655.

Research output: Contribution to journalArticle

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