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GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
We present an iterative method for solving linear systems, which has the property of minimizing at every step the norm of the residual vector over a Krylov subspace. The algorithm is derived from t...
Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
A class of iterative algorithms for solving systems of linear equations where the coefficient matrix is nonsymmetric with positive-definite symmetric part, modelled after the conjugate gradient method, are considered.
Gmres: a Generalized Minimum Residual Algorithm for Solving
Overton, who showed us how the ideal Arnoldi and GMRES problems relate to more general problems of minimization of singular values of functions of matrices 17]. gmres and arnoldi as matrix…
Topological properties of hypercubes
The authors examine the hypercube from the graph-theory point of view and consider those features that make its connectivity so appealing and propose a theoretical characterization of the n-cube as a graph.
First- and Second-Order Diffusive Methods for Rapid, Coarse, Distributed Load Balancing
This paper introduces a new direction in diffusive schedules by considering schedules that are modeled as w1=Mw0;wt+1=β Mwt + (1-β)wt-1 for some appropriate β; these are the second-order schedules.
Yale sparse matrix package I: The symmetric codes
This report presents a package of efficient, reliable, well-documented, and portable FORTRAN subroutines for solving NxN system of linear equations M x = b, where the coefficient matrix M is large, sparse, and nonsymmetric.
Data Communication in Hypercubes
Conjugate gradient-like algorithms for solving nonsymmetric linear systems
This paper presents a unified formulation of a class of the conjugate gradient-like algorithms for solving nonsymmetric linear systems and discusses some practical points concerning the methods and point out some of the interrelations between them.
Data communication in parallel architectures
Numerical methods of high-order accuracy for nonlinear boundary value Problems
with Dirichlet boundary conditions d D~u(O) = D k u ( l ) -0, D ........ dx' O ~ k < ~ n t , (/.2) where (1.3) ~Eu (x)~ = Z ( l)J+lDJEpj(x) DJu(x)l, n==_t. i=0 Basically, the Rayleigh-Ritz-Galerkin…