# Fb2 Theory of Subgradients and Its Applications to Problems of Optimization: Convex and Nonconvex Functions (Research Exposition in Mathematics) ePub

## by R.T. Rockafellar

Category: | Mathematics |

Subcategory: | Science books |

Author: | R.T. Rockafellar |

ISBN: | 3885382016 |

ISBN13: | 978-3885382010 |

Language: | English |

Publisher: | Heldermann Verlag (December 1981) |

Pages: | 115 |

Fb2 eBook: | 1645 kb |

ePub eBook: | 1419 kb |

Digital formats: | lrf docx doc azw |

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Convex and Nonconvex Functions. The subgradient of the dual function along which its value increases is calculated without solving any additional problem

Convex and Nonconvex Functions. The Clarke subgradients of a nonconvex function p on Rn are characterized in terms of limits of proximal subgradients. In the case where p is the optimal value function in a nonlinear programming problem depending on parameters, proximal subgradients correspond to saddlepoints of the augmented Lagrangian. The subgradient of the dual function along which its value increases is calculated without solving any additional problem. In contrast with the penalty or multiplier methods, for improving the value of the dual function, one need not to take the penalty like parameter to infinity in the new methods.

Rockafellar RT (1981) The Theory of Subgradients and its Applications to Problems of Optimization

Rockafellar RT (1981) The Theory of Subgradients and its Applications to Problems of Optimization. Convex and Nonconvex Functions. Heldermann Verlag, BerlinGoogle Scholar. 15. Romano G, Rosati L, Marotti de Sciarra F (1992) An internal variable theory of inelastic behaviour derived from the uniaxial rigid-perfectly plastic law. Internat J Engrg Sci 31(8):1105–1120Google Scholar. 16. Romano G, Rosati L, Marotti de Sciarra F (1993) Variational principles for a class of finite-step elasto-plastic problems with non-linear mixed hardening. Comput Methods Appl Mech Engrg 109:293–314Google Scholar

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convex and nonconvex functions. by R. Tyrrell Rockafellar. Published 1981 by Heldermann in Berlin Bibliography: p. 106-107. Published 1981 by Heldermann in Berlin. Mathematical optimization, Functions of several real variables, Convex functions. Bibliography: p.

Lattice Theory and its Applications. In Celebration of Garrett Birkhoff's 80th Birthday. R. T. Rockafellar The Theory of Subgradients and its Applications to Problems of Optimization. Vol 22. W. Krabs Optimal Control of Undamped Linear Vibrations.

And Nonconvex Functions (Sigma Series In Pure Mathematics). Convex and Nonconvex Functions (Sigma Series in Pure Mathematics).

The Theory Of Subgradients And Its Applications To Problems Of Optimization: Convex And Nonconvex Functions (Sigma Series In Pure Mathematics). by. The Theory of Subgradients and Its Applications to Problems of Optimization: Convex and Nonconvex Functions (Sigma Series in Pure Mathematics). 3885382016 (ISBN13: 9783885382010). Lists with This Book.