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  • Articles  (6)
  • Nonlinear Programming  (6)
  • Springer  (6)
  • American Institute of Physics
  • Cell Press
  • International Union of Crystallography (IUCr)
  • Oxford University Press
  • 2010-2014
  • 2005-2009
  • 1985-1989
  • 1975-1979  (6)
  • 1945-1949
  • 2005
  • 1978  (6)
  • Mathematics  (6)
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  • Articles  (6)
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Keywords
Publisher
  • Springer  (6)
  • American Institute of Physics
  • Cell Press
  • International Union of Crystallography (IUCr)
  • Oxford University Press
Years
  • 2010-2014
  • 2005-2009
  • 1985-1989
  • 1975-1979  (6)
  • 1945-1949
Year
Topic
  • 1
    Electronic Resource
    Electronic Resource
    Algorithms for nonlinear constraints that use lagrangian functions (1978)
    Springer
    Mathematical programming 14 (1978), S. 224-248 
    Details
    ISSN: 1436-4646
    Keywords: Augmented Lagrangian ; Lagrangian Function ; Nonlinear Constraints ; Nonlinear Programming ; Optimization Algorithm
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Lagrangian functions are the basis of many of the more successful methods for nonlinear constraints in optimization calculations. Sometimes they are used in conjunction with linear approximations to the constraints and sometimes penalty terms are included to allow the use of algorithms for unconstrained optimization. Much has been discovered about these techniques during the last eight years and this paper gives a view of the progress and understanding that has been achieved and its relevance to practical algorithms. A particular method is recommended that seems to be more powerful than the author believed to be possible at the beginning of 1976.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01588967
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Second order characterizations of pseudoconvex functions (1978)
    Springer
    Mathematical programming 14 (1978), S. 170-185 
    Details
    ISSN: 1436-4646
    Keywords: Nonlinear Programming ; Pseudoconvexity ; Second order Characterizations ; Extended Hessians ; Bordered Determinants ; Quadratic Functions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Second order characterizations for (strictly) pseudoconvex functions are derived in terms of extended Hessians and bordered determinants. Additional results are presented for quadratic functions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01588964
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  • 3
    Electronic Resource
    Electronic Resource
    A note on ‘new algorithms for constrained minimax optimization’ (1978)
    Springer
    Mathematical programming 15 (1978), S. 239-242 
    Details
    ISSN: 1436-4646
    Keywords: Minimax Optimization ; Nonlinear Programming
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract An unconstrained minimax algorithm of Charalambous and Conn is easily modified to solve the constrained case. Here we present some numerical results and find that this algorithm compares favourably to those of Dutta and Vidyasagar.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01609026
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  • 4
    Electronic Resource
    Electronic Resource
    The decomposition of nonlinear problems (1978)
    Springer
    Mathematical programming 15 (1978), S. 360-362 
    Details
    ISSN: 1436-4646
    Keywords: Nonlinear Decomposition ; Nonlinear Programming
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract We show that under certain conditions nonlinear programming problems can be decomposed into a series of smaller problems. A Decomposition Theorem and example are presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01609042
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  • 5
    Electronic Resource
    Electronic Resource
    A property of continuous unbounded algorithms (1978)
    Springer
    Mathematical programming 14 (1978), S. 373-377 
    Details
    ISSN: 1436-4646
    Keywords: Nonlinear Programming ; Algorithms ; Continuous Unbounded Algorithms ; Global Convergence of Algorithms
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01588977
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  • 6
    Electronic Resource
    Electronic Resource
    Large-scale linearly constrained optimization (1978)
    Springer
    Mathematical programming 14 (1978), S. 41-72 
    Details
    ISSN: 1436-4646
    Keywords: Large-scale Systems ; Linear Constraints ; Linear Programming ; Nonlinear Programming ; Optimization ; Quasi-Newton Method ; Reduced-gradient Method ; Simplex Method ; Sparse Matrix ; Variable-metric Method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract An algorithm for solving large-scale nonlinear programs with linear constraints is presented. The method combines efficient sparse-matrix techniques as in the revised simplex method with stable quasi-Newton methods for handling the nonlinearities. A general-purpose production code (MINOS) is described, along with computational experience on a wide variety of problems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01588950
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