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  • 1
    Electronic Resource
    Electronic Resource
    Modeling languages and Condor: metacomputing for optimization (2000)
    Springer
    Mathematical programming 88 (2000), S. 487-505 
    Details
    ISSN: 1436-4646
    Keywords: Mathematics Subject Classification (1991): 90C90, 90C11
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract. A generic framework is postulated for utilizing the computational resources provided by a metacomputer to concurrently solve a large number of optimization problems generated by a modeling language. An example of the framework using the Condor resource manager and the AMPL and GAMS modeling languages is provided. A mixed integer programming formulation of a feature selection problem from machine learning is used to test the mechanism developed. Due to this application’s computational requirements, the ability to perform optimizations in parallel is necessary in order to obtain results within a reasonable amount of time. Details about the simple and easy to use tool and implementation are presented so that other modelers with applications generating many independent mathematical programs can take advantage of it to significantly reduce solution times.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/PL00011382
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Feasible descent algorithms for mixed complementarity problems (1999)
    Springer
    Mathematical programming 86 (1999), S. 475-497 
    Details
    ISSN: 1436-4646
    Keywords: Key words: mixed complementarity problems – global convergence – superlinear convergence – feasible descent methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract. In this paper we consider a general algorithmic framework for solving nonlinear mixed complementarity problems. The main features of this framework are: (a) it is well-defined for an arbitrary mixed complementarity problem, (b) it generates only feasible iterates, (c) it has a strong global convergence theory, and (d) it is locally fast convergent under standard regularity assumptions. This framework is applied to the PATH solver in order to show viability of the approach. Numerical results for an appropriate modification of the PATH solver indicate that this framework leads to substantial computational improvements.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s101070050101
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  • 3
    Electronic Resource
    Electronic Resource
    Interfaces to PATH 3.0: Design, Implementation and Usage (1999)
    Springer
    Computational optimization and applications 12 (1999), S. 207-227 
    Details
    ISSN: 1573-2894
    Keywords: complementarity problems ; variational inequalities ; algorithms
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract Several new interfaces have recently been developed requiring PATH to solve a mixed complementarity problem. To overcome the necessity of maintaining a different version of PATH for each interface, the code was reorganized using object-oriented design techniques. At the same time, robustness issues were considered and enhancements made to the algorithm. In this paper, we document the external interfaces to the PATH code and describe some of the new utilities using PATH. We then discuss the enhancements made and compare the results obtained from PATH 2.9 to the new version.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008636318275
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  • 4
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    Optimization in SciDAC applications (2007)
    Institute of Physics
    Details
    Publication Date: 2007-07-01
    Print ISSN: 1742-6588
    Electronic ISSN: 1742-6596
    Topics: Physics
    Published by Institute of Physics
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