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  • conjugate direction methods  (1)
  • direct methods  (1)
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    Electronic Resource
    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
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