Electronic Resource
Springer
Annals of the Institute of Statistical Mathematics
42 (1990), S. 187-201
ISSN:
1572-9052
Keywords:
Linear systems
;
direct methods
;
scaling of equations
;
conjugate direction methods
;
biorthogonalization methods
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00050789
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