Large-Scale Nonlinear Optimization

by Gianni Pillo (Editor), Massimo Roma (Editor)

Overview

Large-Scale Nonlinear Optimization reviews and discusses recent advances in the development of methods and algorithms for nonlinear optimization and its applications, focusing on the large-dimensional case, the current forefront of much research.

The chapters of the book, authored by some of the most active and well-known researchers in nonlinear optimization, give an updated overview of the field from different and complementary standpoints, including theoretical analysis, algorithmic development, implementation issues and applications.

Product Details

ISBN-13:	9781441940148
Publisher:	Springer US
Publication date:	02/11/2011
Series:	Nonconvex Optimization and Its Applications , #83
Edition description:	Softcover reprint of hardcover 1st ed. 2006
Pages:	298
Product dimensions:	6.10(w) x 9.25(h) x 0.36(d)

Table of Contents

Fast Linear Algebra for Multiarc Trajectory Optimization.- Lagrange Multipliers with Optimal Sensitivity Properties in Constrained Optimization.- An O(n2) Algorithm for Isotonic Regression.- Knitro: An Integrated Package for Nonlinear Optimization.- On implicit-factorization constraint preconditioners.- Optimal algorithms for large sparse quadratic programming problems with uniformly bounded spectrum.- Numerical methods for separating two polyhedra.- Exact penalty functions for generalized Nash problems.- Parametric Sensitivity Analysis for Optimal Boundary Control of a 3D Reaction-Diffusion System.- Projected Hessians for Preconditioning in One-Step One-Shot Design Optimization.- Conditions and parametric representations of approximate minimal elements of a set through scalarization.- Efficient methods for large-scale unconstrained optimization.- A variational approach for minimum cost flow problems.- Multi-Objective Optimisation of Expensive Objective Functions with Variable Fidelity Models.- Towards the Numerical Solution of a Large Scale PDAE Constrained Optimization Problem Arising in Molten Carbonate Fuel Cell Modeling.- The NEWUOA software for unconstrained optimization without derivatives.