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Matlab Codes for Krylov subspace methods 1. MINRES method by Paige and Saunders implementation function [ x, istop, itn, rnorm, Arnorm, Anorm, Acond, ynorm ] = ... minres( A, b, M, shift, show, check, itnlim, rtol ) [ x, istop, itn, rnorm, Arnorm, Anorm, Acond, ynorm ] = ... minres( A, b, M, shift, show, check, itnlim, rtol ) minres solves the n x n system of linear equations Ax = b or the n x n least squares problem min ||Ax- b||_2^2, where A is a symmetric matrix (possibly indefinite or singular) and b is a given vector. The dimension n is defined by length(b). INPUT: A may be a dense or sparse matrix (preferably sparse!) or a function handle such that y = A(x) returns the product y = A*x for any given n-vector x. If M = [], preconditioning is not used. Otherwise, M defines a positive-definite preconditioner M = C*C . M may be a dense or sparse matrix (preferably sparse!) or a function handle such that y = M(x) solves th
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