On some extensions of the accelerated overrelaxation (AOR) theory | Zendy

A. Hadjidimos | Zendy; A. Yeyios | Zendy

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On some extensions of the accelerated overrelaxation (AOR) theory

Author(s) -

A. Hadjidimos,

A. Yeyios

Publication year - 1981

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/s0161171282000064

Subject(s) - mathematics , connection (principal bundle) , convergence (economics) , symbolic convergence theory , algebra over a field , calculus (dental) , pure mathematics , geometry , computer science , key (lock) , medicine , computer security , dentistry , economics , economic growth

This paper extends the convergence theory of the Accelerated Overrelaxation (AOR) method to cases analogous to those considered first by Ostrowski and then by Varga in connection with the Successive Overrelaxation (SOR) method. Among others, the Ostrowski Theorem, some of the theorems by Varga on the extensions of the SOR theory, and some recent results by Niethammer and by the authors are obtained as special cases of the work presented in this paper. In addition, several points are raised which suggest further research

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