TY  - BOOK
AU  - Deuflhard,Peter
ED  - SpringerLink (Online service)
TI  - Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms 
T2  - Springer Series in Computational Mathematics,
SN  - 9783642238994
AV  - QA71-90 
U1  - 518 23
PY  - 2011///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Computer science
KW  - Differential Equations
KW  - Mathematical optimization
KW  - Engineering mathematics
KW  - Computational Mathematics and Numerical Analysis
KW  - Computational Science and Engineering
KW  - Ordinary Differential Equations
KW  - Appl.Mathematics/Computational Methods of Engineering
KW  - Optimization
KW  - Math Applications in Computer Science
N2  - This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite dimension (algebraic systems) and in infinite dimension (ordinary and partial differential equations). Its focus is on local and global Newton methods for direct problems or Gauss-Newton methods for inverse problems. The term 'affine invariance' means that the presented algorithms and their convergence analysis are invariant under one out of four subclasses of affine transformations of the problem to be solved. Compared to traditional textbooks, the distinguishing affine invariance approach leads to shorter theorems and proofs and permits the construction of fully adaptive algorithms. Lots of numerical illustrations, comparison tables, and exercises make the text useful in computational mathematics classes. At the same time, the book opens many directions for possible future research
UR  - http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-23899-4
ER  -