Lagrange Multiplier Approach to Variational Problems and Applications (Advances in Design and Control v. 15)
By: Karl Kunisch (author), Kazufumi Ito (author)Paperback
1 - 2 weeks availability
This comprehensive monograph analyses Lagrange multiplier theory, which provides a tool for the analysis of a general class of nonlinear variational problems, and is the basis for developing efficient and powerful iterative methods for solving these problems. This book shows its impact on the development of numerical algorithms for problems posed in a function space setting, and is motivated by the idea that a full treatment of a variational problem in function spaces would be incomplete without a discussion of infinite-dimensional analysis, proper discretisation, and the relationship between the two. The authors develop and analyse efficient algorithms for constrained optimisation and convex optimisation problems based on the augmented Lagrangian concept and cover such topics as sensitivity analysis and convex optimisation. General theory is applied to challenging problems in optimal control of partial differential equations, image analysis, mechanical contact and friction problems, and American options for the Black-Scholes model.
Kazufumi Ito is Professor in the Department of Mathematics and an affiliate of the Center for Research in Scientific Computation at North Carolina State University. He was co-recipient of the SIAM Outstanding Paper Award in 2006. Karl Kunisch is Professor in the Institute of Mathematics at the University of Graz, Austria. He was co-recipient of the SIAM Outstanding Paper Award in 2006.
Preface; 1. Existence of Lagrange multipliers; 2. Sensitivity analysis; 3. First Order augmented Lagrangians for equality and finite rank inequality constraints; 4. Augmented Lagrangian methods for nonsmooth, convex optimization; 5. Newton and SQP methods; 6. Augmented Lagrangian-SQP methods; 7. The primal-dual active set method; 8. Semismooth Newton methods I; 9. Semismooth Newton methods II: applications; 10. Parabolic variational inequalities; 11. Shape optimization; Bibliography; Index.
Number Of Pages:
- ID: 9780898716498
- Saver Delivery: Yes
- 1st Class Delivery: Yes
- Courier Delivery: Yes
- Store Delivery: Yes
Prices are for internet purchases only. Prices and availability in WHSmith Stores may vary significantly
© Copyright 2013 - 2016 WHSmith and its suppliers.
WHSmith High Street Limited Greenbridge Road, Swindon, Wiltshire, United Kingdom, SN3 3LD, VAT GB238 5548 36