Synopses & Reviews
The Sixth Workshop on Optimization and Numerical Analysis was held in Oaxaca, Mexico, in January 1992. The participation of many of the leading figures in the field resulted in this excellent state of the art volume on continuous optimization. The papers presented here give a good overview of several topics including interior point and simplex methods for linear programming problems, new methods for nonlinear programming, results in non-convex linear complementarity problems and non-smooth optimization. There are several articles dealing with the numerical solution of diffusion--advection equations. For researchers and postgraduate students in optimization, partial differential equations and modelling.
Table of Contents
Analysis of Interior-Point Methods for Linear Programming Problems with Variable Upper Bounds; M.J. Todd. 2.
On the Complexity of the Simplex Method; D. Goldfarb. 3.
The Linear Complementarity Problem; P.M. Pardalos. 4.
A Direct Search Optimization Method that Models the Objective and Constraint Functions by Linear Interpolation; M.J.D. Powell. 5.
A Truncated SQP Algorithm for Large Scale Nonlinear Programming Problems; P.T. Boggs, J.W. Tolle, A.J. Kearsley. 6.
Performance of a Multifrontal Scheme for Partially Separable Optimization; A.R. Conn, N. Gould, M. Lescrenier, P.L. Toint. 7.
Towards Second-Order Methods for Structured Nonsmooth Optimization; M.L. Overton. 8.
Homotopy Methods in Control System Design and Analysis; L.T. Watson. 9.
How to Properly Relax Delayed Controls; J.F. Rosenblueth. 10.
On Operator Extensions: the Algebraic Theory Approach; I. Herrera. 11.
Global Space-Time Finite Element Methods for Time-Dependent Convection Diffusion Problems; O. Axelsson, J. Maubach. 12.
Eulerian--Lagrangian Localized Adjoint Methods for Variable-Coefficient Advective-Diffusive-Reactive Equations in Groundwater Contaminant Transport; R.E. Ewing, Hong Wang. 13.
The Communication Patterns of Nested Preconditionings for Massively Parallel Architectures; J.C. Díaz. 14.
Smoothness and Superconvergence for Approximate Solutions to the One Dimensional Monoenergetic Transport Equation; G.D. Allen. 15.
Experiments with the Power and Arnoldi Methods for Solving the Two-Group Neutron Diffusion Eigenvalue Problem; J. Jaffré, J.-L. Vaudescal. 16.
Computational Study of a Free-Boundary Model; L.H. Juárez, P. Saavedra, M. Salazar. 17.
Numerical Approximation to a Class of Weakly Singular Integral Operators; M. Levet, M. Telias.