A Class Of Iterative Method For Large Singular Linear System

The present Ph.D. dissertation is concerned with some algorithms which are used to get the Drazin inverse solution for singular linear system. In chapter I. the state quto, newly emerging achievement and some problems which are solved by this paper are chiefly presented. In chapter II, some theorems which ensure the convergence of some of these algorithms are presented. In chapter III, we present the main algorithms of this paper. In chapter IV, we deliver the error analysis of the DGMRES algorithm, the DFOM algorithm and the DBICG algorithm, and then, we compare the DGMRES algorithm with the DFOM algorithm. In diaper V. we make some perturbation anlysis for these problem. In diaper VI, we discuss the stagnation of the DGMRES algorithm as a new method, In chapter VII. we present the computational results. And then we examine the merit and the shortage of these algorithms. At last, we examine the algorithm 4 carefully.