Some comparison of restarted GMRES and QMR for linear and nonlinear problems

Conference · Sat Dec 31 00:00:00 EST 1994

OSTI ID:219562

Morgan, R ^[1]; Joubert, W ^[2]

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1. Baylor Univ., Waco, TX (United States)
2. Los Alamos National Lab., NM (United States)

Comparisons are made between the following methods: QMR including its transpose-free version, restarted GMRES, and a modified restarted GMRES that uses approximate eigenvectors to improve convergence, For some problems, the modified GMRES is competitive with or better than QMR in terms of the number of matrix-vector products. Also, the GMRES methods can be much better when several similar systems of linear equations must be solved, as in the case of nonlinear problems and ODE problems.

• Research Organization: Front Range Scientific Computations, Inc., Boulder, CO (United States); US Department of Energy (USDOE), Washington DC (United States); National Science Foundation, Washington, DC (United States)
• OSTI ID: 219562
• Report Number(s): CONF-9404305-Vol.2; ON: DE96005736; TRN: 96:002321-0010
• Resource Relation: Conference: Colorado conference on iterative methods, Breckenridge, CO (United States), 5-9 Apr 1994; Other Information: PBD: [1994]; Related Information: Is Part Of Colorado Conference on iterative methods. Volume 2; PB: 261 p.
• Country of Publication: United States
• Language: English

Related Subjects

99 MATHEMATICS
COMPUTERS
INFORMATION SCIENCE
MANAGEMENT
LAW
MISCELLANEOUS
MATRICES
ITERATIVE METHODS
NONLINEAR PROBLEMS
COMPARATIVE EVALUATIONS