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Identifier

uch.math.msc//2002alanelli

Title

Προρρυθμιστές στοιχειώδους block απαλοιφής για την αριθμητική επίλυση μη-ιδιόμπρφων και ιδιομορφων γραμμικών συστημάτων

Alternative Title

Block Gauss Elimination followed by a Classical Iterative Method for the solution of Linear Systems

Author

Αλανέλλη, Μαρία

Abstract

In the last four decades many papers have appeared in which the application of an iterative method for the solution of a linear system is preceded by a step of the Gauss elimination process, in the hope that this will increase the rates of convergence of the iterative method. This combination of methods has been proven successful especially when the matrix A of the system is an M-matrix. The purpose of this paper is to extend the idea of one to more Gauss elimination steps, consider other classes of matrices A, e.g., p-cyclic consistently ordered, and generalize and improve some of the results known so far.

Language

Greek

Issue date

2002-01-31

Collection

School/Department--School of Sciences and Engineering--Department of Mathematics--Post-graduate theses

Type of Work--Post-graduate theses

Views

280

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