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  • Artikel  (631)
  • Springer  (631)
  • American Chemical Society (ACS)
  • American Geophysical Union
  • National Academy of Sciences
  • 2015-2019
  • 2005-2009
  • 1990-1994
  • 1980-1984  (631)
  • 1980  (631)
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  • Artikel  (631)
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  • 2015-2019
  • 2005-2009
  • 1990-1994
  • 1980-1984  (631)
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  • 1
    Digitale Medien
    Digitale Medien
    Shadow prices in nonconvex mathematical programming (1980)
    Springer
    Mathematical programming 19 (1980), S. 300-312 
    Details
    ISSN: 1436-4646
    Schlagwort(e): Equilibrium Prices ; Nonconvex Mathematical Programming ; Shadow Prices
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Informatik , Mathematik
    Notizen: Abstract In this paper a definition is proposed for the concept of shadow prices in nonconvex programming. For a nonlinear program with equality and inequality constraints, existence of these prices and bounds for their possible values are obtained under the Mangasarian—Fromowitz regularity condition. Their exact values and some continuity properties are obtained under the more restrictive linear independence regularity condition. A definition of equilibrium prices is also proposed. Under convexity assumptions, all definitions and results coincide with those already known on this subject in convex programming.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01581650
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  • 2
    Digitale Medien
    Digitale Medien
    Infinite retrogression in the Eaves—Saigal algorithm (1980)
    Springer
    Mathematical programming 19 (1980), S. 313-327 
    Details
    ISSN: 1436-4646
    Schlagwort(e): Retrogressing Paths ; Homotopy Method ; Fixed-point Algorithm
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Informatik , Mathematik
    Notizen: Abstract For certain functionsf fromR n toR n , the Eaves—Saigal algorithm computes a path inR n × (0, 1] which converges to a zero off. In this case, it is shown that even whenf is of classC ∞ and has a unique zero, the converging path may retrogress infinitely many times.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01581651
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  • 3
    Digitale Medien
    Digitale Medien
    Weber's problem and weiszfeld's algorithm in general spaces (1980)
    Springer
    Mathematical programming 18 (1980), S. 186-196 
    Details
    ISSN: 1436-4646
    Schlagwort(e): Weber's Problem ; Weiszfeld's Method ; Optimal Location
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Informatik , Mathematik
    Notizen: Abstract For solving the Euclidean distance Weber problem Weiszfeld proposed an iterative method. This method can also be applied to generalized Weber problems in Banach spaces. Examples for generalized Weber problems are: minimal surfaces with obstacles, Fermat's principle in geometrical optics and brachistochrones with obstacles.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01588313
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  • 4
    Digitale Medien
    Digitale Medien
    Borsuk's theorem through complementary pivoting (1980)
    Springer
    Mathematical programming 18 (1980), S. 84-88 
    Details
    ISSN: 1436-4646
    Schlagwort(e): Complementary Pivot Algorithms ; Triangulations ; Vector Labels ; Borsuk's Theorem on Antipodal Points
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Informatik , Mathematik
    Notizen: Abstract In this short note a simple and constructive proof is given for Borsuk's theorem on antipodal points. This is done through a special application of the complementary pivoting algorithm.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01588299
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  • 5
    Digitale Medien
    Digitale Medien
    The Mathematical Programming Society (1980)
    Springer
    Mathematical programming 18 (1980), S. 110-110 
    Details
    ISSN: 1436-4646
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Informatik , Mathematik
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01588306
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  • 6
    Digitale Medien
    Digitale Medien
    A differential equation approach to nonlinear programming (1980)
    Springer
    Mathematical programming 18 (1980), S. 155-168 
    Details
    ISSN: 1436-4646
    Schlagwort(e): Constrained Optimization ; Differential Equation ; Global Solution ; Nonlinear Programming
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Informatik , Mathematik
    Notizen: Abstract A new method is presented for finding a local optimum of the equality constrained nonlinear programming problem. A nonlinear autonomous system is introduced as the base of the theory instead of usual approaches. The relation between critical points and local optima of the original optimization problem is proved. Asymptotic stability of the critical points is also proved. A numerical algorithm which is capable of finding local optima systematically at the quadratic rate of convergence is developed from a detailed analysis of the nature of trajectories and critical points. Some numerical results are given to show the efficiency of the method.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01588311
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  • 7
    Digitale Medien
    Digitale Medien
    A generalization of the Frank—Wolfe theorem (1980)
    Springer
    Mathematical programming 18 (1980), S. 215-227 
    Details
    ISSN: 1436-4646
    Schlagwort(e): Frank—Wolfe Theorem ; Quadratic Programming ; Norm Coercive Functions ; Polyhedral Sets
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Informatik , Mathematik
    Notizen: Abstract The Frank—Wolfe theorem states that a quadratic function, bounded below on a nonempty polyhedral convex set, attains its infimum there. This paper gives sufficient conditions under which a function either attains its infimum on a nonempty polyhedral convex set or is unbounded below on some halfline of that set. Quadratic functions are shown to satisfy these sufficient conditions.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01588315
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  • 8
    Digitale Medien
    Digitale Medien
    Pseudo duality in mathematical programming: Unconstrained problems and problems with equality constraints (1980)
    Springer
    Mathematical programming 18 (1980), S. 248-273 
    Details
    ISSN: 1436-4646
    Schlagwort(e): Legendre Transform ; Stationary Points ; Convex Functions ; Duality
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Informatik , Mathematik
    Notizen: Abstract In this work non-convex programs are analyzed via Legendre transform. The first part includes definitions and the classification of programs that can be handled by the transformation. It is shown that differentiable functions that are represented as a sum of strictly concave and convex functions belong to this class. Conditions under which a function may have such representation are given. Pseudo duality is defined and the pseudo duality theorem for non linear programs with equality constraints is proved. The techniques described are constructive ones, and they enable tocalculate explicitly a pseudo dual once the primal program is given. Several examples are included. In the convex case these techniques enable the explicit calculation of the dual even in cases where direct calculation was not possible.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01588322
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  • 9
    Digitale Medien
    Digitale Medien
    Steiner's problem and fagnano's result on the sphere (1980)
    Springer
    Mathematical programming 18 (1980), S. 286-290 
    Details
    ISSN: 1436-4646
    Schlagwort(e): Facility Location ; Steiner's Problem ; Location on the Sphere
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Informatik , Mathematik
    Notizen: Abstract This note describes the nature of optimal solutions for the spherical Steiner-Weber location problem for the case of unit weights and either 3 or 4 demand points (requireing 4 demand points to lie in an open hemisphere). Geometrically appealing results which are necessary conditions for optimum solutions and spherical analogs of known planar results are obtained.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01588324
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  • 10
    Digitale Medien
    Digitale Medien
    An economic interpretation of stochastic programs (1980)
    Springer
    Mathematical programming 18 (1980), S. 62-67 
    Details
    ISSN: 1436-4646
    Schlagwort(e): Economic Interpretation ; Mathematical Programming ; Duality ; Stochastic Programming
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Informatik , Mathematik
    Notizen: Abstract The purpose of this note is to interpret a class of stochastic programming problems in economic terms. The primal stochastic program is shown to represent a certain production program of an entrepreneur. The dual program, which is also a stochastic program, represents the problem of a contractor who desires to purchase the entrepreneur's resources and sell product back to him.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01588297
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