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

Conference ·
OSTI ID:219562
 [1];  [2]
  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); USDOE, Washington, DC (United States); National Science Foundation, Washington, DC (United States)
OSTI ID:
219562
Report Number(s):
CONF-9404305--Vol.2; ON: DE96005736
Country of Publication:
United States
Language:
English

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