A New Seed Projection Method for Solving Shifted Systems with Multiple Right-Hand Sides
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33122
A New Seed Projection Method for Solving Shifted Systems with Multiple Right-Hand Sides

Authors: Chao Li, Hao Liu

Abstract:

In this paper, we propose a new seed projection method for solving shifted systems with multiple right-hand sides. This seed projection method uses a seed selection strategy. Numerical experiments are presented to show the efficiency of the newly method.

Keywords: shifted systems, multiple right-hand sides, seed projection.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1087898

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1494

References:


[1] A. Feriani, F. Perotti, V. Simoncini, Iterative system solvers for the frequency analysis of linear mechanical systems, Comput. Methods Appl. Mech. and Engrg. 190 (13-14) (2000) 1719-1739.
[2] V. Simoncini, Restarted full orthogonalization method for shifted linear systems, BIT (Numer. Math.) 43 (2003) 459-466.
[3] D. O’Leary, The block conjugate gradient algorithm and related methods, Linear Algebra Appl. 29 (1980) 293-322.
[4] C. Smith, A. Peterson and R. Mittra, A conjugate gradient algorithm for treatment of multiple incident electromagnetic fields, IEEE Trans. Antennas Propagation 37 (1989) 1490-1493.
[5] R.W.Freund, Solution of shifted linear systems by quasi-minimal residual iterations, Numerical Linear Algebra (1993) 101-121.
[6] A.Frommer and U.Glassner, Restarted GMRES for shifted linear systems, SIAM J. Sci. Comput. 19 (1998) 15-26.
[7] GuiDing Gu, Wenyue Zhu, Seed projection methods for solving unsymmetric shifted systems with multiple right-hand sides, Mathematica Numerica Sinica 26 (2004) 211-224(In Chinese).
[8] GuiDing Gu, A seed method for solving nonsymmetric linear systems with multiple right-hand sides, Intern. J. Computer Math. 79 (2002) 307- 326.
[9] V. Simoncini, E. Gallopolous, An iterative method for nonsymmetric systems with multiple right-hand sides, SIAM J. Sci. Comput.16 (1995) 917-933.