The main purpose of this paper is to develop stable versions of some Krylov subspace methods for solving the linear systems of equations Ax = b which arise in the difference solution of 2-D nonstationary Navier-Stokes ...

The major drawback of the s-step iterative methods for nonsymmetric linear systems of

equations is that, in the floating-point arithmetic, a quick loss of orthogonality of s-dimensional

direction subspaces ...

Over the past several years a number of hybrid algorithms have been proposed for solving large sparse systems of linear algebraic equations. In this paper we consider the hybrid GMRES algorithm by Nachtigal, Reichel and ...

The results of the Householder and QL algorithms for determining the eigenelements of a symmetric matrix,provided by a computer, always contain the errors resulting from floating-point arithmetic round-off error propagation. ...

Abstract. This paper makes a survey on the linear stationary first-order(degree) iterative

methods for solving the linear systems. Some techniques of preconditioning which

improve the rate of convergence of ...

In this expository paper, we survey some of the latest development in using preconditioned

conjugate gradient methods and splitting methods for solving Toeplitz systems. One of

the main results is that the ...