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Youcef Saad
Researcher at Research Institute for Advanced Computer Science
Publications - 33
Citations - 16069
Youcef Saad is an academic researcher from Research Institute for Advanced Computer Science. The author has contributed to research in topics: Krylov subspace & Iterative method. The author has an hindex of 23, co-authored 33 publications receiving 15156 citations. Previous affiliations of Youcef Saad include University of Minnesota & Yale University.
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GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
Youcef Saad,Martin H. Schultz +1 more
TL;DR: 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.
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A flexible inner-outer preconditioned GMRES algorithm
TL;DR: A variant of the GMRES algorithm is presented that allows changes in the preconditioning at every step, resulting in a result of the flexibility of the new variant that any iterative method can be used as a preconditionser.
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Hybrid Krylov methods for nonlinear systems of equations
Peter Brown,Youcef Saad +1 more
TL;DR: To improve the global convergence properties of these basic algorithms, hybrid methods based on Powell's dogleg strategy are proposed, as well as linesearch backtracking procedures.
SPARSKIT: A basic tool kit for sparse matrix computations
TL;DR: The main features of a tool package for manipulating and working with sparse matrices, to provide basic tools to facilitate the exchange of software and data between researchers in sparse matrix computations, are presented.
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Efficient solution of parabolic equations by Krylov approximation methods
TL;DR: This paper takes a new look at numerical techniques for solving parabolic equations by the method of lines by approximate the action of the evolution operator on a given state vector by means of a projection process onto a Krylov subspace.