GMRES-type methods for inconsistent systems

Linear Algebra and Its Applications

Volumn 316, Issue 1-3, 2000, Pages 157-169

  Calvetti, D ^a   Lewis, B ^b   Reichel, L ^b  

^a CASE WESTERN RESERVE UNIVERSITY   (United States)

^b KENT STATE UNIVERSITY   (United States)

Author keywords

65F10; 65F20; Krylov methods; Singular linear systems

Indexed keywords

EID: 0034399370     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(00)00064-1     Document Type: Article

References (8)

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2. Å. Björck, Numerical Methods for Least-squares Problems, SIAM, Philadelphia, PA, 1996.
3. Brown P.N., Walker H.F. GMRES on nearly singular systems. SIAM J. Matrix Anal. Appl. 18:1997;37-51.
4. Ipsen I.C.F., Meyer C.D. The idea behind Krylov methods. Amer. Math. Monthly. 105:1998;889-899.
5. Hochbruck M., Lubich C. Error analysis of Krylov methods in a nutshell. SIAM J. Sci. Comput. 19:1998;695-701.
6. Saad Y., Schultz M.H. GMRES: a generalized minimal residual method for solving nonsymmetric linear systems. SIAM J. Sci. Statist. Comput. 7:1986;856-869.
7. Y. Saad, Iterative Methods for Sparse Linear Systems, PWS, Boston, MA, 1996.
8. Walker H.F., Zhou L. A simpler GMRES. Numer. Linear Algebra Appl. 1:1994;571-581.