On vectorizing the preconditioned generalized conjugate residual methods

DOI10.1080/00207169008803850zbMath0752.65027OpenAlexW2020875501MaRDI QIDQ4009761

Giovanni Zilli, Giorgio Pini

Publication date: 27 September 1992

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169008803850

zbMATH Keywords

numerical experimentsfinite elementpreconditionersdiffusion-convection equationtest problemsincomplete LU factorizationdiagonal scalinglarge, sparse unsymmetric systemsvector computer Cray X-MP/48vectorized generalized conjugate residual methods

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical algorithms for specific classes of architectures (65Y10)

Related Items (3)

TRANSPOSE-FREE LANCZOS-TYPE SCHEMES ON TRANSPUTER NETWORK∗ ⋮ Computation of minimum eigenvalue through minimization of rayleigh's quotient for large sparse matrices using vector computer: ⋮ Iterative methods for solving sparse linear systems with a parallel preconditioner

Cites Work

• The performance of FORTRAN implementations for preconditioned conjugate gradients on vector computers
• An improved iterative optimization technique for the leftmost eigenpairs of large symmetric matrices
• The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations
• Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
• Polynomial Preconditioners for Conjugate Gradient Calculations
• Practical Use of Polynomial Preconditionings for the Conjugate Gradient Method
• Application of conjugate-gradient-like methods to a hyperbolic problem in porous-media flow
• On Vectorizing Incomplete Factorization and SSOR Preconditioners
• Convergence of Conjugate Residual-Like Methods to Solve Linear Equations
• Preconditioned iterative algorithms for large sparse unsymmetric problems
• A Vectorizable Variant of some ICCG Methods
• Basic Linear Algebra Subprograms for Fortran Usage
• Numerical comparison of preconditionings for large sparse finite element problems
• Methods of conjugate gradients for solving linear systems

This page was built for publication: On vectorizing the preconditioned generalized conjugate residual methods