Convergence and Applications of Newton-type Iterations

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2008. 2008th Edition. Hardcover. This book presents iterative methods for solving nonlinear equations. It applies theoretical results to engineering, dynamic economic systems, input-output systems, nonlinear and linear differential equations, and optimization problems. Num Pages: 56 pages, 1, black & white illustrations. BIC Classification: PBKJ. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 28. Weight in Grams: 912. . . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780387727417

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Recent results in local convergence and semi-local convergence analysis constitute a natural framework for the theoretical study of iterative methods. This monograph provides a comprehensive study of both basic theory and new results in the area. Each chapter contains new theoretical results and important applications in engineering, modeling dynamic economic systems, input-output systems, optimization problems, and nonlinear and linear differential equations. Several classes of operators are considered, including operators without Lipschitz continuous derivatives, operators with high order derivatives, and analytic operators. Each section is self-contained. Examples are used to illustrate the theory and exercises are included at the end of each chapter.

The book assumes a basic background in linear algebra and numerical functional analysis. Graduate students and researchers will find this book useful. It may be used as a self-study reference or as a supplementary text for an advanced course in numerical functional analysis.