Iterative Methods For Solving Linear Equations And Restricted Linear Equations Based On Splittings Of Matrices

In this paper the iterative methods for solving the linear equations Ax = b and restricted linear equations Ax = b, x e. T, where T is a subspace of C", based on the splittings A = U ?V ofA are discussed; the iteration xk+1 = Gxk +c,k = 0,1,... is constructed, whereG = U~V,c = U-b,U- is {l}-inverse or {2}-inverse of U ; some sufficient and necessary conditions for convergence of the iteration are given; and a practical method for the splitting A - U - V such that p(G) <1 is presented.