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  • 1
    Electronic Resource
    Electronic Resource
    Use of a nonquadratic model in a conjugate-gradient method of optimization with inexact line searches (1984)
    Springer
    Journal of optimization theory and applications 43 (1984), S. 357-370 
    Details
    ISSN: 1573-2878
    Keywords: Unconstrained optimization ; rational models ; conjugate directions ; inexact line searches
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract An algorithm for unconstrained minimization is developed which uses a rational function model, rather than a quadratic, as a basis for conjugate directions. The algorithm is similar to one previously proposed by the authors, but inexact linear searches are investigated in the present paper.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00934460
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    A conjugate-direction method based on a nonquadratic model (1984)
    Springer
    Journal of optimization theory and applications 43 (1984), S. 371-381 
    Details
    ISSN: 1573-2878
    Keywords: Unconstrained optimization ; conjugate-direction methods ; numerical algorithms ; rational models ; quadratic models
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A conjugate-gradient method for unconstrained optimization, which is based on a nonquadratic model, is proposed. The technique has the same properties as the Fletcher-Reeves algorithm when applied to a quadratic function. It is shown to be efficient when tried on general functions of different dimensionality.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00934461
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    A variable-metric method using a nonquadratic model (1984)
    Springer
    Journal of optimization theory and applications 43 (1984), S. 383-393 
    Details
    ISSN: 1573-2878
    Keywords: Optimization ; variable-metric methods ; rational approximations ; switching algorithm
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, a new variable-metric method based on a rational, rather than a quadratic, model is proposed. A switching algorithm is also introduced which selects either the standard quadratic model or the new rational model, depending on which has the smallest condition number. Several functions are used to test the new method, and it is concluded that it is as efficient as the standard model in general and is superior for problems of high dimensionality. Considerable improvement is also obtained for high-dimensional problems when the switching algorithm is used.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00934462
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
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