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  • 1
    Electronic Resource
    Electronic Resource
    Global optimization and stochastic differential equations (1985)
    Springer
    Journal of optimization theory and applications 47 (1985), S. 1-16 
    Details
    ISSN: 1573-2878
    Keywords: Global optimization ; stochastic differential equations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Let ℝ n be then-dimensional real Euclidean space,x=(x 1,x 2, ...,x n)T ∈ ℝ n , and letf:ℝ n → R be a real-valued function. We consider the problem of finding the global minimizers off. A new method to compute numerically the global minimizers by following the paths of a system of stochastic differential equations is proposed. This method is motivated by quantum mechanics. Some numerical experience on a set of test problems is presented. The method compares favorably with other existing methods for global optimization.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00941312
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Generalized Solution of Linear Systems and Image Restoration (1999)
    Springer
    Journal of optimization theory and applications 103 (1999), S. 45-64 
    Details
    ISSN: 1573-2878
    Keywords: Linear programming problems ; regularization procedures ; image restoration
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Let n, m be positive integers; we consider m×n real linear systems. We define regularized solutions of a linear system as the minimizers of an optimization problem. The objective function of this optimization problem can be seen as the Tikhonov functional when the p-norm is considered instead of the Euclidean norm. The cases p=1 and p=∞ are studied. This analysis is used to restore defocused synthetic images and real images with encouraging results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1021717215386
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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