書誌事項

Nonlinear analysis and optimization

edited by B. Cornet, V.H. Nguyen, and J.P. Vial ; [contributors] A. Auslender ... [et al.]

(Mathematical programming study, 30)

North-Holland , Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1987

  • : pbk.

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注記

Proceedings of a conference held at the Center for Operations Research and Econometrics in Louvain-la-Neuve, on June 16-17, 1983

Includes bibliographies

内容説明・目次

内容説明

This study collects the papers presented at the Nonlinear Analysis and Optimization conference held at the Center for Operations Research and Econometrics (CORE) in Louvain-la-Neuve, Belgium. It was the firm belief of the organizers of the meeting that there is a natural interaction between the methods used in nonlinear analysis and the problems encountered in optimization, and that gathering the papers into one book would be beneficial for both parties concerned. The papers are mainly concerned with the following themes: nonlinear analysis, sensitivity (stability) analysis and algorithms in nonlinear programming (for smooth, nonsmooth and global problems).

目次

Continuity and Differentiability Properties of Monotone Real Functions of Several Real Variables (Y. Chabrillac, J.-P. Crouzeix). Regularity Properties of Open Tangent Cones (B. Cornet). The Role of Tangent and Normal Cones in the Viability Theory of Differential Inclusions (G. Haddad). Local Structure of Feasible Sets in Nonlinear Programming, Part III: Stability and Sensitivity (S.M. Robinson). Eigenvalue Perturbations and Nonlinear Parametric Optimization (B. Gollan). Curvilinear Path and Trust Region in Unconstrained Optimization: A Convergence Analysis (J.P. Bulteau and J.P. Vial). Numerical Methods for Nondifferentiable Convex Optimization (A. Auslender). A Reduced Subgradient Algorithm (A. Bihain, V.H. Nguyen, J.-J. Strodiot). Global Minimization of a Difference of Two Convex Functions (H. Tuy).

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