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  • Articles: DFG German National Licenses  (2)
  • CR: 5.15  (1)
  • scaling of equations  (1)
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  • Articles: DFG German National Licenses  (2)
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Years
Keywords
  • 1
    Electronic Resource
    Electronic Resource
    A class of scaled direct methods for linear systems (1990)
    Springer
    Annals of the Institute of Statistical Mathematics 42 (1990), S. 187-201 
    Details
    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
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Imperfect conjugate gradient algorithms for extended quadratic functions (1983)
    Springer
    Numerische Mathematik 42 (1983), S. 97-105 
    Details
    ISSN: 0945-3245
    Keywords: AMS (MOS): 65K05 ; CR: 5.15
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary Generalized conjugate gradient algorithms which are invariant to a nonlinear scaling of a strictly convex quadratic function are described. The algorithms when applied to scaled quadratic functionsf∶R n →R 1 of the formf(x)=h(F(x)) withF(x) strictly convex quadratic andh∈C 1(R 1) an arbitrary strictly monotone functionh generate the same direction vectors as for the functionF without perfect steps.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01400920
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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