Condition number of the Krylov bases and subspaces

Linear Algebra and Its Applications

Volumn 248, Issue , 1996, Pages 137-160

  Carpraux, Jean Francois ^a   Godunov, S K ^b   Kuznetsov, S V ^b  

^a CAMPUS DE BEAULIEU   (France)

^b SOBOLEV INSTITUTE OF MATHEMATICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030486054     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/0024-3795(95)00164-6     Document Type: Article

References (6)

1. W. E. Arnoldi, The principle of minimized iteration in the solution of the matrix eigenvalue problem, Quart. Appl. Math. 9:17-29 (1951).
2. G. H. Golub and C. F. Van Loan, Matrix Computations, Johns Hopkins U.P., Baltimore, 1989.
3. N. J. Higham, A survey of condition number estimation for triangular matrices, SIAM Rev. 29, No. 4 (1987).
4. A. N. Krylov, On the numerical solution of equations whose solution determine the frequency of small vibrations of material systems (in Russian), Izv. Akad. Nauk SSSR Otd. Mat. Estest. 1:491-539 (1931).
5. Y. Saad and M. H. Schultz, GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. Sci. Statist. Comput. 7:856-869 (1986).
6. J. H. Wilkinson, Rounding Errors in Algebraic Processes, Prentice Hall, Englewood Cliffs, N.J., 1963.