Lagrange Multiplier Approach to Variational Problems and Applications (Advances in Design and Control, Series Number 15) - Softcover

Ito, Kazufumi; Kunisch, Karl

Softcover

ISBN 10: 0898716497 ISBN 13: 9780898716498

Publisher: Society for Industrial and Applied Mathematics, 2008

Synopsis

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.

About this title

About the Authors

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.

Edition details

• Publisher: Society for Industrial and Applied Mathematics
• Publication date: 2008
• Language: English
• ISBN 10: 0898716497
• ISBN 13: 9780898716498
• Binding: Paperback
• Number of pages: 360