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Convergence and Applications of Newton-type Iterations
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ISBN: 9780387727417 0387727418 9780387727431 1441924922 9786611491727 1281491721 0387727434 Year: 2008 Publisher: New York, NY : Springer New York : Imprint: Springer,

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Abstract

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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Classical circuit theory
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ISBN: 1281791857 9786611791858 0387097406 3540097406 9783540097402 Year: 2008 Publisher: New York, NY : Springer,

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Abstract

Classical Circuit Theory provides readers with the fundamental, analytic properties of linear circuits that are important to the design of conventional and non-conventional circuits in modern communication systems. These properties include the relations between phase and gain, between the real and imaginary parts, and between phase and group delay. They also include the fundamental limitations on gain and bandwidth, which are important in broadband matching in amplifier design. The idea that an impedance function is a positive real function and that a transfer function is bounded-real, forms the basis for analytic design of all conventional filters. At the same time, mathematical programming tools are now widely available so that design of non-conventional circuits by optimization is but a few mouse clicks away. Every new concept within the material is illustrated with one or more examples. There are exercises and problems at the end of the chapters. Some may be suitable for term projects. The design techniques presented are also illustrated step by step with easy-to-follow examples.

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