A Comparison of Preconditioned Nonsymmetric Krylov Methods on a Large-Scale MIMD Machine

GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems

1986 • 10,699 citations

Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems

1992 • 5,070 citations

Multi-level adaptive solutions to boundary-value problems

1977 • 3,170 citations

Iterative Solution of Large Linear Systems

1973 • 2,037 citations

Iterative Solution of Large Linear Systems

1971 • 1,746 citations

An iterative solution method for linear systems of which the coefficient matrix is a symmetric 𝑀-matrix

1977 • 1,435 citations

CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems

1989 • 1,142 citations

SPARSKIT: A basic tool kit for sparse matrix computations

1990 • 650 citations

A Transpose-Free Quasi-Minimal Residual Algorithm for Non-Hermitian Linear Systems

1993 • 621 citations

Parallel multilevel preconditioners

1990 • 607 citations

A GENERALIZED CONJUGATE GRADIENT METHOD FOR THE NUMERICAL SOLUTION OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS

1976 • 441 citations

Development of Parallel Methods for a $1024$-Processor Hypercube

1988 • 425 citations

Practical Use of Polynomial Preconditionings for the Conjugate Gradient Method

1985 • 189 citations

Approximating the inverse of a matrix for use in iterative algorithms on vector processors

1979 • 168 citations

Multigrid Algorithms on the Hypercube Multiprocessor

1986 • 150 citations

Solving Tridiagonal Systems on Ensemble Architectures

1987 • 128 citations

Iterative solution methods for certain sparse linear systems with a non-symmetric matrix arising from PDE-problems

1981 • 116 citations

Least Squares Polynomials in the Complex Plane and Their Use for Solving Nonsymmetric Linear Systems

1987 • 60 citations

A Domain Decomposition Algorithm Using a Hierarchical Basis

1990 • 41 citations

Sparse iterative algorithm software for large‐scale MIMD machines: An initial discussion and implementation

1992 • 27 citations

A parallel preconditioned conjugate gradient package for solving sparse linear systems on a Cray Y-MP

1991 • 26 citations

Parallel elliptic preconditioners: Fourier analysis and performance on the connection machine

1989 • 25 citations

Multigrid algorithms on the hypercube multiprocessor

1994 • 10 citations

SOME FAST ELLIPTIC SOLVERS ON PARALLEL ARCHITECTURES AND THEIR COMPLEXITIES

1989 • 7 citations

Multigrid, alignment, and Euler's equations

1989 • 4 citations

Approximate polynomial preconditionings applied to biharmonic equations

1989 • 3 citations