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Titlebook: Newton Methods for Nonlinear Problems; Affine Invariance an Peter Deuflhard Textbook 2011 Springer-Verlag Berlin Heidelberg 2011 Gauss-newt

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書目名稱Newton Methods for Nonlinear Problems
副標(biāo)題Affine Invariance an
編輯Peter Deuflhard
視頻videohttp://file.papertrans.cn/667/666162/666162.mp4
叢書名稱Springer Series in Computational Mathematics
圖書封面Titlebook: Newton Methods for Nonlinear Problems; Affine Invariance an Peter Deuflhard Textbook 2011 Springer-Verlag Berlin Heidelberg 2011 Gauss-newt
描述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 ‘a(chǎn)ffine 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.
出版日期Textbook 2011
關(guān)鍵詞Gauss-newton methods; Newton methods; affine invariance; continuation methods; differential equations; or
版次1
doihttps://doi.org/10.1007/978-3-642-23899-4
isbn_softcover978-3-642-23898-7
isbn_ebook978-3-642-23899-4Series ISSN 0179-3632 Series E-ISSN 2198-3712
issn_series 0179-3632
copyrightSpringer-Verlag Berlin Heidelberg 2011
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0179-3632 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.978-3-642-23898-7978-3-642-23899-4Series ISSN 0179-3632 Series E-ISSN 2198-3712
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Peter Deuflhard, das deutlich über den Wachstumsraten des globalen Bruttosozialproduktes liegt (. (2003a); . (2003b); . (2002), S. 3). Begünstigt durch attraktive Investitionsbedingungen und ein nahezu unersch?pfliches Reservoir an Arbeitskr?ften kommt es zu einer Verlagerung der Produktion insbesondere arbeitsint
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Textbook 2011c 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 ‘a(chǎn)ffine invariance‘ means that the presented algorithms and their convergence analysis are in
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