The rate of convergence of explicit approximate inverse preconditioning

References

• Axelsson , O. 1985 . A survey of preconditioned iterative methods of linear systems of algebraic equation . BIT , 25 : 166 – 187 .
   Google Scholar
• Evans , D. J. and Lipitakis , E. A. 1983 . Implicit semi-direct methods based on root-free sparse factorization procedures . BIT , 23 : 194 – 208 .
   Web of Science ®Google Scholar
• Gravvanis G. A. Lipitakis E. A. The numerical of three dimensional ellipitic boundary value problems by direct and approximate decomposition techniques Proceedings of the 8th Intern. Conference on Numerical Methods in Thermal Problems Lewis R. W. Pineridge Press 1993 2 1076 1087
   Google Scholar
• Gustafsson , I. 1978 . A class of first order factorization methods . BIT , 18 : 142 – 156 .
   Google Scholar
• Lipitakis , E. A. and Evans , D. J. 1981 . The rate of convergence of an approximate matrix factorization semi-direct method . Numer.Math. , 36 : 237 – 251 .
   Web of Science ®Google Scholar
• Lipitakis , E. A. and Evans , D. J. 1987 . Explicit semi-direct methods based on Approximate Inverse Matrix techniques for solving BV problems on parallel processors . Math. and Computers in Simulation , : 1 – 17 .
   Web of Science ®Google Scholar
• Lipitakis , E. A. and Gravvanis , G. A. 1992 . Intern. J. Comp. Math. , 44 : 189 – 206 .
   Web of Science ®Google Scholar
• Lipitakis , E. A. and Gravvanis , G. A. 1991 . The numerical solution of large finite elements by explicit preconditioning semi-direct methods, Bulletin of the Hellenic Mathematical Society . Special Issue on Computer Mathematics , 32 : 63 – 82 .
   Google Scholar
• Marchuk , G. I. 1975 . Methods of Numerical Mathematics Springer Verlag, N.Y.
   Google Scholar
• Stiefel , E. L. 1958 . Kernel polynomials in linear algebra and their numerical applications . Nat. Bur. Standards Appl. Math. Ser. , 49 : 1 – 22 .
   Google Scholar
• Turing , A. M. 1948 . Rounding off errors in matrix processes . Quart J Mech Appl Marh , 1 : 287 – 308 .
   Web of Science ®Google Scholar
• Varga , R. H. 1962 . Matrix Iterative Analysis , Englewood Cliffs, N.J. : Prentice-Hall .
   Google Scholar