Physical description 
xii, 424 pages : illustrations ; 25 cm. 
Series 
Springer series in computational mathematics, 01793632 ; 35.


Springer series in computational mathematics. 01793632 ; 35.

Bibliography 
Includes bibliographical references (pages [405]415) and index. 
Contents 
1. Introduction  2. Systems of equations : local Newton methods  3. Systems of equations : global Newton methods  4. Least squares problems : GaussNewton methods  5. Parameter dependent systems : continuation methods  6. Stiff ODE initial value problems  7. ODE boundary value problems  8. PDE boundary value problems. 
Summary 
"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 math classes. At the same time, the book opens many directions for possible future research."BOOK JACKET. 
Subject 
Numerical analysis.


Algebras, Linear.


Equations, Theory of.

ISBN 
3540210997 (acidfree paper) 

3540210997 (acidfree paper) No price 
