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  • penalty function methods  (3)
  • Springer  (3)
  • American Association for the Advancement of Science
  • Institute of Physics
  • 1975-1979  (3)
  • 1930-1934
Sammlung
Verlag/Herausgeber
  • Springer  (3)
  • American Association for the Advancement of Science
  • Institute of Physics
Erscheinungszeitraum
  • 1975-1979  (3)
  • 1930-1934
Jahr
  • 1
    Digitale Medien
    Digitale Medien
    Springer
    Journal of optimization theory and applications 18 (1976), S. 469-483 
    ISSN: 1573-2878
    Schlagwort(e): Nonlinear least-square problems ; parameter optimization ; penalty function methods ; mathematical programming
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract An algorithm for solving the general nonlinear least-square problem is developed. An estimate for the Hessian matrix is constructed as the sum of two matrices. The first matrix is the usual first-order estimate used by the Gauss method, while the second matrix is generated recursively using a rank-one formula. Test results indicate that the method is superior to the standard Gauss method and compares favorably with other methods, especially for problems with nonzero residuals at the solution.
    Materialart: Digitale Medien
    Standort Signatur Erwartet Verfügbarkeit
    BibTip Andere fanden auch interessant ...
  • 2
    Digitale Medien
    Digitale Medien
    Springer
    Journal of optimization theory and applications 21 (1977), S. 137-174 
    ISSN: 1573-2878
    Schlagwort(e): Augmented penalty function ; method of multipliers ; penalty function methods ; nonlinear programming ; mathematical programming
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract This paper describes an accelerated multiplier method for solving the general nonlinear programming problem. The algorithm poses a sequence of unconstrained optimization problems. The unconstrained problems are solved using a rank-one recursive algorithm described in an earlier paper. Multiplier estimates are obtained by minimizing the error in the Kuhn-Tucker conditions using a quadratic programming algorithm. The convergence of the sequence of unconstrained problems is accelerated by using a Newton-Raphson extrapolation process. The numerical effectiveness of the algorithm is demonstrated on a relatively large set of test problems.
    Materialart: Digitale Medien
    Standort Signatur Erwartet Verfügbarkeit
    BibTip Andere fanden auch interessant ...
  • 3
    Digitale Medien
    Digitale Medien
    Springer
    Journal of optimization theory and applications 24 (1978), S. 523-548 
    ISSN: 1573-2878
    Schlagwort(e): Multiplier method ; gradient projection method ; penalty function methods ; nonlinear programming ; parameter optimization
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract This paper describes a gradient projection-multiplier method for solving the general nonlinear programming problem. The algorithm poses a sequence of unconstrained optimization problems which are solved using a new projection-like formula to define the search directions. The unconstrained minimization of the augmented objective function determines points where the gradient of the Lagrangian function is zero. Points satisfying the constraints are located by applying an unconstrained algorithm to a penalty function. New estimates of the Lagrange multipliers and basis constraints are made at points satisfying either a Lagrangian condition or a constraint satisfaction condition. The penalty weight is increased only to prevent cycling. The numerical effectiveness of the algorithm is demonstrated on a set of test problems.
    Materialart: Digitale Medien
    Standort Signatur Erwartet Verfügbarkeit
    BibTip Andere fanden auch interessant ...
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