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Preconditioned HSS Method And Iterative Methods For Fuzzy Linear Systems

Posted on:2008-01-05Degree:MasterType:Thesis
Country:ChinaCandidate:L ZhuFull Text:PDF
GTID:2120360215453822Subject:Computational Mathematics
Abstract/Summary:PDF Full Text Request
The paper contains two main contents, one is the preconditioned HSS method, the others are two iterative methods for solving fuzzy linear systems.The development of the classical iterative methods for the solution of linear systems and fuzzy linear systems in the 20th century or more earlier is simply introduced in Chapter 1.In Chapter 2, we use the preconditioning technique on HSS method, and some relative theories are given. Finally, we use a numerical example to illustrate our theories.In Chapter 3, two iterative methods are proposed to solve fuzzy linear systems, such as SSOR-CG method and Semi-CG method. Algrithms are illustrated by solving some numerical examples.
Keywords/Search Tags:non-Hermitian matrix, Splitting, Preconditioning, Hermitian matrix, Skew-Hermitian matrix, Iterative methods, Fuzzy system of linear equations, SSOR-CG method, Semi-Conjugate Direction method
PDF Full Text Request
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