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Optimization Theory and Methods

Nonlinear Programming

  • Wenyu Sun
  • Ya-Xiang Yuan

Part of the Springer Optimization and Its Applications book series (SOIA, volume 1)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Pages 1-70
  3. Pages 71-117
  4. Pages 119-173
  5. Pages 203-301
  6. Pages 411-453
  7. Pages 455-492
  8. Pages 597-635
  9. Back Matter
    Pages 637-687

About this book

Introduction

This book, a result of the authors’ teaching and research experience in various universities and institutes over the past ten years, can be used as a textbook for an optimization course for graduates and senior undergraduates. It systematically describes optimization theory and several powerful methods, including recent results. For most methods, the authors discuss an idea’s motivation, study the derivation, establish the global and local convergence, describe algorithmic steps, and discuss the numerical performance. The book deals with both theory and algorithms of optimization concurrently. It also contains an extensive bibliography with 366 references. Finally, apart from its use for teaching, Optimization Theory and Methods is also very beneficial for doing research.

Audience

This book is intended for senior students, graduates, teachers, and researchers in optimization, operations research, computational mathematics, applied mathematics, and some engineering and economics. It will also be useful for scientists in engineering and economics.

Keywords

Quasi-Newton method algorithms computer-aided design (CAD) linear optimization model nonlinear optimization optimization programming quadratic programming

Authors and affiliations

  • Wenyu Sun
    • 1
  • Ya-Xiang Yuan
    • 2
  1. 1.Nanjing Normal UniversityNanjingChina
  2. 2.Chinese Academy of ScienceBeijingChina

Bibliographic information