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Advances in Optimization and Numerical Analysis

  • Book
  • © 1994

Overview

Editors:
  1. Susana Gomez

    1. Instituto de Investigaciones en Mátematicas Aplicadas y Sistemas, Universidad Nacional Autónoma de México, México

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  2. Jean-Pierre Hennart

    1. Instituto de Investigaciones en Mátematicas Aplicadas y Sistemas, Universidad Nacional Autónoma de México, México

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Part of the book series: Mathematics and Its Applications (MAIA, volume 275)

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. Analysis of Interior-Point Methods for Linear Programming Problems with Variable Upper Bounds

    • Michael J. Todd
    Pages 1-23

  3. On the Complexity of the Simplex Method

    • Donald Goldfarb
    Pages 25-38

  4. The Linear Complementarity Problem

    • Panos M. Pardalos
    Pages 39-49

  5. A Direct Search Optimization Method That Models the Objective and Constraint Functions by Linear Interpolation

    • M. J. D. Powell
    Pages 51-67

  6. A Truncated SQP Algorithm for Large Scale Nonlinear Programming Problems

    • Paul T. Boggs, Jon W. Tolle, Anthony J. Kearsley
    Pages 69-77

  7. Performance of a Multifrontal Scheme for Partially Separable Optimization

    • A. R. Conn, Nick Gould, M. Lescrenier, Ph. L. Toint
    Pages 79-96

  8. Towards Second-Order Methods for Structured Nonsmooth Optimization

    • Michael L. Overton, Xianjian Ye
    Pages 97-109

  9. Homotopy Methods in Control System Design and Analysis

    • Layne T. Watson, Stephen Richter, Dragan Žigić
    Pages 111-143

  10. How to Properly Relax Delayed Controls

    • Javier F. Rosenblueth
    Pages 145-154

  11. On Operator Extensions: The Algebraic Theory Approach

    • Ismael Herrera
    Pages 155-163

  12. Global Space-Time Finite Element Methods for Time-Dependent Convection Diffusion Problems

    • O. Axelsson, J. Maubach
    Pages 165-184

  13. Eulerian-Lagrangian Localized Adjoint Methods for Variable-Coefficient Advective-Diffusive-Reactive Equations in Groundwater Contaminant Transport

    • Richard E. Ewing, Hong Wang
    Pages 185-205

  14. The Communication Patterns of Nested Preconditionings for Massively Parallel Architectures

    • J. C. Díaz, K. E. Jordan
    Pages 207-218

  15. Smoothness and Superconvergence for Approximate Solutions to the One Dimensional Monoenergetic Transport Equation

    • G. Donald Allen
    Pages 219-232

  16. Experiments with the Power and Arnoldi Methods for Solving the Two-Group Neutron Diffusion Eigenvalue Problem

    • Jérôme Jaffré, Jean-Louis Vaudescal
    Pages 233-244

  17. Computational Study of a Free-Boundary Model

    • L. H. Juárez, P. Saavedra, M. Salazar
    Pages 245-260

  18. Numerical Approximation to a Class of Weakly Singular Integral Operators

    • M. Levet, M. Telias
    Pages 261-272

  19. Directional Second Derivative of the Regularized Function That Smoothes the Min-Max Problem

    • Cristina Gígola, Susana Gómez
    Pages 273-285
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Keywords

About this book

In January 1992, the Sixth Workshop on Optimization and Numerical Analysis was held in the heart of the Mixteco-Zapoteca region, in the city of Oaxaca, Mexico, a beautiful and culturally rich site in ancient, colonial and modern Mexican civiliza­ tion. The Workshop was organized by the Numerical Analysis Department at the Institute of Research in Applied Mathematics of the National University of Mexico in collaboration with the Mathematical Sciences Department at Rice University, as were the previous ones in 1978, 1979, 1981, 1984 and 1989. As were the third, fourth, and fifth workshops, this one was supported by a grant from the Mexican National Council for Science and Technology, and the US National Science Foundation, as part of the joint Scientific and Technical Cooperation Program existing between these two countries. The participation of many of the leading figures in the field resulted in a good representation of the state of the art in Continuous Optimization, and in an over­ view of several topics including Numerical Methods for Diffusion-Advection PDE problems as well as some Numerical Linear Algebraic Methods to solve related pro­ blems. This book collects some of the papers given at this Workshop.

Editors and Affiliations

  • Instituto de Investigaciones en Mátematicas Aplicadas y Sistemas, Universidad Nacional Autónoma de México, México

    Susana Gomez, Jean-Pierre Hennart

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