يك نسخه جديد از يك روش پيش شرط سازي براي ماتريس هاي دو در دو بلوكي خاص با بلوك هاي مربعي, By Reza Sharafdini

Research

Title	A new preconditioning method for certain two-by-two block matrices with square blocks
Type	Thesis
Keywords	Complex linear systems, Iteration method, Convergence, Optimal parameter.
Researchers	Alireza Ataei (Primary advisor) , Reza Sharafdini (Advisor)

Abstract

Complex system of equations arise in many important problems in scientific computing and engineering applications. In this thesis, we present new methods for solving the complex system of equations. First, we review the iteration methods for solving the complex symmetric system of linear equations. Then, we present two-parameter T MIT iteration method for solving complex symmetric system of linear equations and discuss that under certain conditions, the method is convergent. Also, we find the optimal parameters that minimize the upper bound of the spectral radius of this method. Numerical results are presented to show the effectiveness of this parameters