Newton methods for nonlinear problems : affine invariance and adaptive algorithms

書誌事項

Newton methods for nonlinear problems : affine invariance and adaptive algorithms

Peter Deuflhard

(Springer series in computational mathematics, 35)

Springer, c2004

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite and in infinite dimension. Its focus is on local and global Newton methods for direct problems or Gauss-Newton methods for inverse problems. 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.

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