مشخصات پژوهش

عنوان	یک روش تکراری شکاف مثبت و منفی-پایدار برای حل دستگاه معادلات خطی نامعین متقارن بزرگ و تنک
نوع پژوهش	پایان‌نامه
کلیدواژه‌ها	Krylov subspace, matrix splitting,complex symmetric linear system
چکیده	Consider linear system of the form [-M K iC]x=f، where M،K،C ? R n×n are symmetric and positive definite matrices. a class of splitting methods for solving this kind linear equations is established by the modified positive/negative- stable splitting (PNS) of the coefficient matrix and is called the MPNS method. In this method، not requiring that the Hermitian part of the complex symmetric linear system must be Hermitian positive definite. analysis shows that the MPNS method is absolutely convergent. 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.
پژوهشگران	نادیه رضایی (دانشجو)، علیرضا عطایی (استاد راهنما)، رضا شرف دینی (استاد مشاور)