On a conjugate gradient-type method for solving complex symmetric linear systems

Linear Algebra and Its Applications

Volumn 287, Issue 1-3, 1999, Pages 105-123

  Bunse Gerstner, Angelika ^a   Stöver, Ronald ^a  

^a UNIVERSITY OF BREMEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033475683     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(98)10091-5     Document Type: Article

References (10)

1. A. Bunse-Gerstner, W. Gragg, Singular value decompositions of complex symmetric matrices, J. Comp. Appl. Math. 21 (1988) 41-54.
2. I.S. Duff, R.G. Grimes, J.G. Lewis, Users' guide for the Harwell-Boeing sparse matrix collection (release I), Technical Report TR/PA/92/86, Cerfacs, Toulouse Cedex, France, October 1992.
3. V. Faber, T. Manteuffel, Necessary and sufficient conditions for the existence of a conjugate-gradient method, SIAM J. Numer. Anal. 21 (1984) 352-362.
4. R. Freund, Conjugate-gradient-type methods for linear systems with complex symmetric coefficient matrices, SIAM J. Sci. Stat. Comput. 13 (1992) 425-448.
5. R.A. Horn, C.R. Johnson, Matrix Analysis, Cambridge University Press, Cambridge, MA, 1985.
6. C. Jagels, L. Reichel, A fast minimal residual algorithm for shifted unitary matrices, Numer. Linear Algebra Appl. 1 (1994) 555-570.
7. C. Lanczos, An iteration method for the solution of the eigenvalue problem of linear differential and integral operators, J. Nat. Res. Bur. Standards 45 (1950) 255-282.
8. Using MATLAB, The Math Works, 24 Prime Park Way, Natick, MA 01760-1500, USA, 1997.
9. N. Nachtigal, S. Reddy, L. Trefethen, How fast are nonsymmetric matrix iterations?, SIAM J. Matrix Anal. Appl. 13 (1992) 778-795.
10. M.A. Saunders, H.D. Simon, E.L. Yip, Two conjugate-gradient-type methods for unsymmetric linear equations, SIAM J. Numer. Anal. 25 (1988) 927-940.