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Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms
Peter Deuflhard
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Description for Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms
Paperback. 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). This title focuses on local and global Newton methods for direct problems or Gauss-Newton methods for inverse problems. Series: Springer Series in Computational Mathematics. Num Pages: 424 pages, 49 black & white illustrations, biography. BIC Classification: PBKJ; PBKS; PDE; UYAM. Category: (P) Professional & Vocational. Dimension: 235 x 158 x 24. Weight in Grams: 640.
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 ... Read more
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 ... Read more
Product Details
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Format
Paperback
Publication date
2011
Series
Springer Series in Computational Mathematics
Condition
New
Number of Pages
424
Place of Publication
Berlin, Germany
ISBN
9783642238987
SKU
V9783642238987
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Peter Deuflhard
Peter Deuflhard is founder and head of the internationally renowned Zuse Institute Berlin (ZIB) and full professor of Numerical Analysis and Scientific Computing at the Free University of Berlin. He is a regular invited speaker at international conferences and universities as well as industry places all over the world.
Reviews for Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms
From the reviews: “This monograph covers a multitude of Newton methods and presents the algorithms and their convergence analysis from the perspective of affine invariance, which has been the subject of research by the author since 1970. … The book is intended for graduate students of mathematics and computational science and also for researchers in the area of numerical ... Read more