A class of scaled direct methods for linear systems |
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Authors: | Jozsef Abaffy Emilio Spedicato |
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Institution: | (1) University of Economics, Budapest, Hungary;(2) Dipartimento di Matematica, Statistica, Informatica ed Applicazioni, Istituto Universitario di Bergamo, Bergamo, Italy |
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Abstract: | A generalization of the class of direct methods for linear systems recently introduced by Abaffy, Broyden and Spedicato is obtained by applying these algorithms to a scaled system. The resulting class contains an essentially free parameter at each step, giving a unified approach to finitely terminating methods for linear systems. Various properties of the generalized class are presented. Particular attention is paid to the subclasses that contain the classic Hestenes-Stiefel method and the Hegedus-Bodocs biorthogonalization methods.This work was partially supported by CNR under contract 85.02648.01. |
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Keywords: | Linear systems direct methods scaling of equations conjugate direction methods biorthogonalization methods |
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