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  • 1
    Electronic Resource
    Electronic Resource
    Interval arithmetic in unidimensional signomial programming (1978)
    Springer
    Journal of optimization theory and applications 26 (1978), S. 277-289 
    Details
    ISSN: 1573-2878
    Keywords: Geometric programming ; signomial programming ; interval arithmetic
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper applies an interval arithmetic version of Newton's method to unidimensional problems in signomial programming. Unidimensional dual problems occur in engineering design problems formulated as a signomial program with a single degree of difficulty. Unidimensional primal problems are of interest, since many multidimensional search procedures involve unidimensional searches. The interval arithmetic method is guaranteed to generate all the local optima.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00933408
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Signomial dual Kuhn-tucker intervals (1979)
    Springer
    Journal of optimization theory and applications 28 (1979), S. 11-27 
    Details
    ISSN: 1573-2878
    Keywords: Geometric programming ; signomial programming ; interval arithmetic ; nonlinear equations ; Newton's method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Signomial programs are a special type of nonlinear programming problems which are especially useful in engineering design. This paper applies interval arithmetic, a generalization of ordinary arithmetic, to a dual equilibrium problem in signomial programming. Two constructive applications are considered. Application I involves uniqueness of local solutions; Application II involves existence and error bounds.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00933598
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    Paper (German National Licenses)
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