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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical programming 52 (1991), S. 167-178 
    ISSN: 1436-4646
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Most nonlinear programming problems consist of functions which are sums of unary functions of linear functions. Advantage can be taken of this form to calculate second and higher order derivatives easily and at little cost. Using these, high order optimization techniques such as Halley's method can be utilized to accelerate the rate of convergence to the solution. These higher order derivatives can also be used to compute second order sensitivity information. These techniques are applied to the solution of the classical chemical equilibrium problem.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical programming 45 (1989), S. 529-546 
    ISSN: 1436-4646
    Keywords: Nonlinear optimization ; parallel computing ; block iterative methods ; truncated-Newton methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Truncated-Newton methods are a class of optimization methods suitable for large scale problems. At each iteration, a search direction is obtained by approximately solving the Newton equations using an iterative method. In this way, matrix costs and second-derivative calculations are avoided, hence removing the major drawbacks of Newton's method. In this form, the algorithms are well-suited for vectorization. Further improvements in performance are sought by using block iterative methods for computing the search direction. In particular, conjugate-gradient-type methods are considered. Computational experience on a hypercube computer is reported, indicating that on some problems the improvements in performance can be better than that attributable to parallelism alone.
    Type of Medium: Electronic Resource
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  • 3
    Book
    Book
    Philadelphia, Pa. :Society for Industrial and Applied Mathematics,
    Title: Linear and nonlinear optimization /
    Author: Griva, Igor
    Contributer: Nash , Stephen G. , Sofer, Ariela
    Edition: 2. ed
    Publisher: Philadelphia, Pa. :Society for Industrial and Applied Mathematics,
    Year of publication: 2009
    Pages: XXII, 742 S. : , graph. Darst.
    ISBN: 978-0-89871-661-0
    Type of Medium: Book
    Language: English
    URL: 01  (lizenzfrei)
    Library Location Call Number Volume/Issue/Year Availability
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  • 4
    Book
    Book
    New York u.a. :McGraw-Hill,
    Title: Linear and nonlinear programming
    Author: Nash, Stephen
    Contributer: Sofer, Ariela
    Publisher: New York u.a. :McGraw-Hill,
    Year of publication: 1995
    Series Statement: McGraw-Hill series in industrial engineering and management science
    Type of Medium: Book
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