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Advances in Optimization and Numerical Analysis : Mathematics and Its Applications - Susana Gomez

Advances in Optimization and Numerical Analysis

Mathematics and Its Applications

By: Susana Gomez (Editor), Jean-Pierre Hennart (Editor)

Hardcover

Published: 30th April 1994
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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. This work is designed for researchers and postgraduate students in optimization, partial differential equations and modelling.

Preface
Analysis of Interior-Point Methods for Linear Programming Problems with Variable Upper Boundsp. 1
On the Complexity of the Simplex Methodp. 25
The Linear Complementarity Problemp. 39
A Direct Search Optimization Method that Models the Objective and Constraint Functions by Linear Interpolationp. 51
A Truncated SQP Algorithm for Large Scale Nonlinear Programming Problemsp. 69
Performance of a Multifrontal Scheme for Partially Separable Optimizationp. 79
Towards Second-Order Methods for Structured Nonsmooth Optimizationp. 97
Homotopy Methods in Control System Design and Analysisp. 111
How to Properly Relax Delayed Controlsp. 145
On Operator Extensions: the Algebraic Theory Approachp. 155
Global Space-time Finite Element Methods for Time-dependent Convection Diffusion Problemsp. 165
Eulerian-Lagrangian Localized Adjoint Methods for Variable-Coefficient Advective-Diffusive-Reactive Equations in Groundwater Contaminant Transportp. 185
The Communication Patterns of Nested Preconditionings for Massively Parallel Architecturesp. 207
Smoothness and Superconvergence for Approximate Solutions to the One Dimensional Monoenergetic Transport Equationp. 219
Experiments with the Power and Arnoldi Methods for Solving the Two-Group Neutron Diffusion Eigenvalue Problemp. 233
Computational Study of a Free-Boundary Modelp. 245
Numerical Approximation to a Class of Weakly Singular Integral Operatorsp. 261
Directional Second Derivative of the Regularized Function that Smoothes the Min-Max Problemp. 273
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792326731
ISBN-10: 0792326733
Series: Mathematics and Its Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 286
Published: 30th April 1994
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.4 x 15.6  x 1.27
Weight (kg): 1.32