Advances in Nonlinear Programming

Proceedings of the 96 International Conference on Nonlinear Programming

By: YA-Xiang Yuan (Editor), Yuan Ya-Xiang Yuan (Editor), Ya-Xiang Yuan (Editor)

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Hardcover | 31 May 1998

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372 Pages

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23.39 x 15.6 x 2.24

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About 60 scientists and students attended the 96' International Conference on Nonlinear Programming, which was held September 2-5 at Institute of Compu tational Mathematics and Scientific/Engineering Computing (ICMSEC), Chi nese Academy of Sciences, Beijing, China. 25 participants were from outside China and 35 from China. The conference was to celebrate the 60's birthday of Professor M.J.D. Powell (Fellow of Royal Society, University of Cambridge) for his many contributions to nonlinear optimization. On behalf of the Chinese Academy of Sciences, vice president Professor Zhi hong Xu attended the opening ceremony of the conference to express his warm welcome to all the participants. After the opening ceremony, Professor M.J.D. Powell gave the keynote lecture "The use of band matrices for second derivative approximations in trust region methods". 13 other invited lectures on recent advances of nonlinear programming were given during the four day meeting: "Primal-dual methods for nonconvex optimization" by M. H. Wright (SIAM President, Bell Labs), "Interior point trajectories in semidefinite programming" by D. Goldfarb (Columbia University, Editor-in-Chief for Series A of Mathe matical Programming), "An approach to derivative free optimization" by A.

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Preface
The use of band matrices for second derivative approximations in trust region algorithms	p. 3
A Primal-Dual Interior Method for Nonconvex Nonlinear Programming	p. 31
Structure and Efficient Hessian Calculation	p. 57
Piecewise line-search techniques for constrained minimization by quasi-Newton algorithms	p. 73
Newton-Type Methods for Variational Inequalities	p. 105
Computer Solution of Linear Programs: Non-Simplex Algorithms	p. 119
Combining Trust Region and Line Search Techniques	p. 153
SQ[superscript 2]P, Sequential Quadratic Constrained Quadratic Programming	p. 177
An example of non-convergence of trust region algorithms	p. 205
Combining Trust Region and Affine Scaling for Linearly Constrained Nonconvex Minimization	p. 219
Some Properties of A New Conjugate Gradient Method	p. 251
Using Huber Method to solve nonlinear L[subscript 1]-norm Problem	p. 263
Robust Methods for an Inverse Heat Conduction Problem	p. 273
Superlinear Convergence of a Symmetric Primal-dual Path Following Algorithm for SDP	p. 283
Nonlinear Programming on Networks with Discrete-Continuous Variables	p. 299
Algorithms guaranteeing iterative points within nonnegative orthant in complementarity problems	p. 311
Globally Convergent Interior Path Following Methods for Nonlinear Programming and Brouwer Fixed Point Problems	p. 325
A further study on a penalty function of Bertsekas	p. 345
Table of Contents provided by Blackwell. All Rights Reserved.

Advances in Nonlinear Programming

Proceedings of the 96 International Conference on Nonlinear Programming

At a Glance

Hardcover

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