Dynamical Systems Method for solving ill-conditioned linear algebraic systems

Sapto W. Indratno; A. G. Ramm

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arXiv · 0911.3065

Dynamical Systems Method for solving ill-conditioned linear algebraic systems

Sapto W. Indratno·A. G. Ramm

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Abstract

A new method, the Dynamical Systems Method (DSM), justified recently, is applied to solving ill-conditioned linear algebraic system (ICLAS). The DSM gives a new approach to solving a wide class of ill-posed problems. In this paper a new iterative scheme for solving ICLAS is proposed. This iterative scheme is based on the DSM solution. An a posteriori stopping rules for the proposed method is justified. This paper also gives an a posteriori stopping rule for a modified iterative scheme developed in A.G.Ramm, JMAA,330 (2007),1338-1346, and proves convergence of the solution obtained by the iterative scheme.

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BibTeX RIS

Sapto W. Indratno, A. G. Ramm. 2009-11-16. Dynamical Systems Method for solving ill-conditioned linear algebraic systems. https://arxiv.org/abs/0911.3065

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