Vol1. No.1, JIC, Journal of Informaiton and Computing Science
نویسندگان
چکیده
In this paper an interesting property of the restarted FOM algorithm for solving large nonsymmetric linear systems is presented and studied. By establishing a relationship between the convergence of its residual vectors and the convergence of Ritz values in the Arnoldi procedure, it is shown that some important information of previous FOM(m) cycles may be saved by the iteration approximates at the time of restarting, with which the FOM(m) cycles can complement one another harmoniously in reducing the iteration residual. Based on the study of FOM(m), two polynomial preconditioning techniques are proposed; one is for solving nonsymmetric linear systems and another is for forming an effective starting vector in the restarted Arnoldi method for solving nonsymmetric eigenvalue problems.
منابع مشابه
, Vol1. No.1, JIC, Journal of Informaiton and Computing Science
A new method for the solution of the generalized complementarily problem is introduced. The method is based on a no smooth equation reformulation of the generalized complementarily problem and on a no smooth Levenberg-Marquardt method for its solution. The method is shown to be globally convergent. Numerical results are also given.
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متن کامل, Vol1. No.1, JIC, Journal of Informaiton and Computing Science
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متن کامل, Vol1. No.1, JIC, Journal of Informaiton and Computing Science
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Fuzzy logic is a new scientific field which is employed in mathematics, computer science and Engineering. Fuzzy logic calculates the extent to which a proposition is correct and allows computer to manipulate the information. The aim of this paper is to prove some common fixed point theorems using the property E.A. in the setting of G-metric and Fuzzy metric space by taking a set of three condit...
متن کامل, Vol1. No.1, JIC, Journal of Informaiton and Computing Science
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