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Title يك روش زير فضاي كريلف براي حل دستگاه هاي خطي نامعين متقارن مختلط
Type Thesis
Keywords Complex symmetric indefinite linear system,Complex symmetric matrix Positive-stable splitting, Negative-stable splitting, Matrix splitting
Abstract In this thesis, not requiring that the Hermitian part of the complex symmetric linear system must be Hermitian positive definite, a class of splitting methods is established by the modified positive/negative-stable splitting (PNS) of the coefficient matrix and is called the MPNS method. Theoretical analysis shows that the MPNS method is absolutely convergent under proper conditions. Some useful properties of the corresponding MPNS-preconditioned matrix are obtained. Numerical experiments are reported to illustrate the efficiency of both the MPNS method and the MPNS preconditioner. © 2016 Elsevier B.V. All rights reserved
Researchers Alireza Ataei (Primary advisor) , Mojgan Mogharrab (Advisor)