Large-Scale Nonlinear Optimization

✍ Scribed by Nicolas Bérend, J. Frédéric Bonnans (auth.), G. Di Pillo, M. Roma (eds.)

Publisher: Springer US
Year: 2006
Tongue: English
Leaves: 307
Series: Nonconvex Optimization and Its Applications 83
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

Audience

This book is intended for researchers in applied mathematics, advanced engineering, and computer science; it is also recommended for further reading within graduate studies, postgraduate and doctoral programs.

✦ Table of Contents

Fast Linear Algebra for Multiarc Trajectory Optimization....Pages 1-14
Lagrange Multipliers with Optimal Sensitivity Properties in Constrained Optimization....Pages 15-23
An O ( n 2 ) Algorithm for Isotonic Regression....Pages 25-33
K nitro : An Integrated Package for Nonlinear Optimization....Pages 35-59
On implicit-factorization constraint preconditioners....Pages 61-82
Optimal algorithms for large sparse quadratic programming problems with uniformly bounded spectrum....Pages 83-93
Numerical methods for separating two polyhedra....Pages 95-113
Exact penalty functions for generalized Nash problems....Pages 115-126
Parametric Sensitivity Analysis for Optimal Boundary Control of a 3D Reaction-Diffusion System....Pages 127-149
Projected Hessians for Preconditioning in One-Step One-Shot Design Optimization....Pages 151-171
Conditions and parametric representations of approximate minimal elements of a set through scalarization....Pages 173-184
Efficient methods for large-scale unconstrained optimization....Pages 185-210
A variational approach for minimum cost flow problems....Pages 211-221
Multi-Objective Optimisation of Expensive Objective Functions with Variable Fidelity Models....Pages 223-241
Towards the Numerical Solution of a Large Scale PDAE Constrained Optimization Problem Arising in Molten Carbonate Fuel Cell Modeling....Pages 243-253
The NEWUOA software for unconstrained optimization without derivatives....Pages 255-297

✦ Subjects

Optimization; Science, general; Operations Research, Mathematical Programming

📜 SIMILAR VOLUMES

Large-scale nonlinear optimization

📁 Large-scale nonlinear optimization

✍ Di Pillo G., Roma M. (eds.) 📂 Library 📅 2006 🏛 Springer 🌐 English

This book 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. Individual chapters, contributed by eminent authorities, provide an up-to-date

Large-Scale Nonlinear Optimization

📁 Large-Scale Nonlinear Optimization

✍ Gianni Pillo, Massimo Roma 📂 Library 📅 2006 🏛 Springer 🌐 English

Large-Scale Nonlinear Optimization (Nonc

📁 Large-Scale Nonlinear Optimization (Nonconvex Optimization and Its Applications, 83)

✍ Gianni Pillo (editor), Massimo Roma (editor) 📂 Library 📅 2006 🏛 Springer 🌐 English

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,

Lancelot: A Fortran Package for Large-Sc

📁 Lancelot: A Fortran Package for Large-Scale Nonlinear Optimization (Release A)

✍ Dr. A. R. Conn, Dr. N. I. M. Gould, Prof. Dr. Ph. L. Toint (auth.) 📂 Library 📅 1992 🏛 Springer-Verlag Berlin Heidelberg 🌐 English

LANCELOT is a software package for solving large-scale nonlinear optimization problems. This book is our attempt to provide a coherent overview of the package and its use. This includes details of how one might present examples to the package, how the algorithm tries to solve these examples and v

Large-Scale PDE-Constrained Optimization

📁 Large-Scale PDE-Constrained Optimization

✍ Lorenz T. Biegler, Omar Ghattas, Matthias Heinkenschloss, Bart van Bloemen Waand 📂 Library 📅 2003 🏛 Springer-Verlag Berlin Heidelberg 🌐 English

Optimal design, optimal control, and parameter estimation of systems governed by partial differential equations (PDEs) give rise to a class of problems known as PDE-constrained optimization. The size and complexity of the discretized PDEs often pose significant challenges for contemporary opti

Aggregation in Large-Scale Optimization

📁 Aggregation in Large-Scale Optimization

✍ Igor Litvinchev, Vladimir Tsurkov (auth.) 📂 Library 📅 2003 🏛 Springer US 🌐 English

When analyzing systems with a large number of parameters, the dimen sion of the original system may present insurmountable difficulties for the analysis. It may then be convenient to reformulate the original system in terms of substantially fewer aggregated variables, or macrovariables. In other