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This monograph is devoted to a comprehensive treatment of iterative methods for solving nonlinear equations with particular emphasis on semi-local convergence analysis. Theoretical results are applied to engineering, dynamic economic systems, input-output systems, nonlinear and linear differential equations, and optimization problems. Accompanied by many exercises, some with solutions, the book may be used as a supplementary text in the classroom for an advanced course on numerical functional analysis.
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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.
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Convergence and Applications of Newton-type Iterations
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Convergence and Applications of Newton-type Iterations (Hardcover)
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Springer-Verlag New York Inc., New York, NY, 2008
ISBN 10: 0387727418
ISBN 13: 9780387727417
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Hardcover. Zustand: new. Hardcover. 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. Recent results in local convergence and semi-local convergence analysis constitute a natural framework for the theoretical study of iterative methods. Several classes of operators are considered, including operators without Lipschitz continuous derivatives, operators with high order derivatives, and analytic operators. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verkäufers 9780387727417
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Convergence and Applications of Newton-type Iterations
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Convergence and Applications of Newton-Type Iterations (Hardback or Cased Book)
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Convergence and Applications of Newton-type Iterations
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Convergence And Applications Of Newton-type Iterations
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Convergence And Applications Of Newton-type Iterations
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Convergence and Applications of Newton-type Iterations
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Convergence and Applications of Newton-type Iterations
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Convergence and Applications of Newton-type Iterations
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Zustand: New. pp. 528. Bestandsnummer des Verkäufers 26385019
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