Lagrange Multiplier Approach to Variational Problems and Applications: Series Number 15 (Advances in Design and Control, Series Number 15) - Image 1

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Society for Industrial and Applied Mathematics (SIAM) Lagrange Multiplier Approach to Variational Problems and Applications: Series Number 15 (Advances in Design and Control, Series Number 15)

Name: Lagrange Multiplier Approach to Variational Problems and Applications: Series Number 15 (Advances in Design and Control, Series Number 15)
Brand: Society for Industrial and Applied Mathematics (SIAM)
Price: 80.0 GBP
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Applied Mathematics

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Description

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.

Product Specifications

Brand: Society for Industrial and Applied Mathematics (SIAM)
Format: Paperback
ASIN: 0898716497
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Applied Mathematics
Domain: Amazon UK
Release Date: 06 November 2008
Listed Since: 19 May 2008

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Society for Industrial and Applied Mathematics (SIAM) Lagrange Multiplier Approach to Variational Problems and Applications: Series Number 15 (Advances in Design and Control, Series Number 15)

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