Numerical Range

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Numerical Range

Author : Karl E. Gustafson
Publisher : Springer Science & Business Media
ISBN 13 : 1461384982
Total Pages : 202 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Numerical Range by : Karl E. Gustafson

Download or read book Numerical Range written by Karl E. Gustafson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theories of quadratic forms and their applications appear in many parts of mathematics and the sciences. All students of mathematics have the opportunity to encounter such concepts and applications in their first course in linear algebra. This subject and its extensions to infinite dimen sions comprise the theory of the numerical range W(T). There are two competing names for W(T), namely, the numerical range of T and the field of values for T. The former has been favored historically by the func tional analysis community, the latter by the matrix analysis community. It is a toss-up to decide which is preferable, and we have finally chosen the former because it is our habit, it is a more efficient expression, and because in recent conferences dedicated to W(T), even the linear algebra commu nity has adopted it. Also, one universally refers to the numerical radius, and not to the field of values radius. Originally, Toeplitz and Hausdorff called it the Wertvorrat of a bilinear form, so other good names would be value field or form values. The Russian community has referred to it as the Hausdorff domain. Murnaghan in his early paper first called it the region of the complex plane covered by those values for an n x n matrix T, then the range of values of a Hermitian matrix, then the field of values when he analyzed what he called the sought-for region.

Numerical Ranges of Hilbert Space Operators

Author : Hwa-Long Gau
Publisher : Cambridge University Press
ISBN 13 : 1108787606
Total Pages : 556 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis Numerical Ranges of Hilbert Space Operators by : Hwa-Long Gau

Download or read book Numerical Ranges of Hilbert Space Operators written by Hwa-Long Gau and published by Cambridge University Press. This book was released on 2021-08-05 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting with elementary operator theory and matrix analysis, this book introduces the basic properties of the numerical range and gradually builds up the whole numerical range theory. Over 400 assorted problems, ranging from routine exercises to published research results, give you the chance to put the theory into practice and test your understanding. Interspersed throughout the text are numerous comments and references, allowing you to discover related developments and to pursue areas of interest in the literature. Also included is an appendix on basic convexity properties on the Euclidean space. Targeted at graduate students as well as researchers interested in functional analysis, this book provides a comprehensive coverage of classic and recent works on the numerical range theory. It serves as an accessible entry point into this lively and exciting research area.

Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras

Author : F. F. Bonsall
Publisher : CUP Archive
ISBN 13 : 0521079888
Total Pages : 149 pages
Book Rating : 4.5/5 (21 download)

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Book Synopsis Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras by : F. F. Bonsall

Download or read book Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras written by F. F. Bonsall and published by CUP Archive. This book was released on 1971-03-02 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors develop various applications, in particular to the study of Banach algebras where the numerical range provides an important link between the algebraic and metric structures.

Finding Ellipses: What Blaschke Products, Poncelet’s Theorem, and the Numerical Range Know about Each Other

Author : Ulrich Daepp
Publisher : American Mathematical Soc.
ISBN 13 : 147044383X
Total Pages : 268 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Finding Ellipses: What Blaschke Products, Poncelet’s Theorem, and the Numerical Range Know about Each Other by : Ulrich Daepp

Download or read book Finding Ellipses: What Blaschke Products, Poncelet’s Theorem, and the Numerical Range Know about Each Other written by Ulrich Daepp and published by American Mathematical Soc.. This book was released on 2018 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians delight in finding surprising connections between seemingly disparate areas of mathematics. Whole domains of modern mathematics have arisen from exploration of such connections--consider analytic number theory or algebraic topology. Finding Ellipses is a delight-filled romp across a three-way unexpected connection between complex analysis, linear algebra, and projective geometry. The book begins with Blaschke products, complex-analytic functions that are generalizations of disk automorphisms. In the analysis of Blaschke products, we encounter, in a quite natural way, an ellipse inside the unit disk. The story continues by introducing the reader to Poncelet's theorem--a beautiful result in projective geometry that ties together two conics and, in particular, two ellipses, one circumscribed by a polygon that is inscribed in the second. The Blaschke ellipse and the Poncelet ellipse turn out to be the same ellipse, and the connection is illuminated by considering the numerical range of a $2 \times 2$ matrix. The numerical range is a convex subset of the complex plane that contains information about the geometry of the transformation represented by a matrix. Through the numerical range of $n \times n$ matrices, we learn more about the interplay between Poncelet's theorem and Blaschke products. The story ranges widely over analysis, algebra, and geometry, and the exposition of the deep and surprising connections is lucid and compelling. Written for advanced undergraduates or beginning graduate students, this book would be the perfect vehicle for an invigorating and enlightening capstone exploration. The exercises and collection of extensive projects could be used as an embarkation point for a satisfying and rich research project. You are invited to read actively using the accompanying interactive website, which allows you to visualize the concepts in the book, experiment, and develop original conjectures.

Numerical Ranges II

Author : F. F. Bonsall
Publisher : Cambridge University Press
ISBN 13 : 0521202272
Total Pages : 189 pages
Book Rating : 4.5/5 (212 download)

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Book Synopsis Numerical Ranges II by : F. F. Bonsall

Download or read book Numerical Ranges II written by F. F. Bonsall and published by Cambridge University Press. This book was released on 1973-08-02 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: The landlady, landlord, cat, trap, and cheese all take credit for catching the long-tailed rat who is really the only one who knows the truth of the matter.

Lectures on Numerical Radius Inequalities

Author : Pintu Bhunia
Publisher : Springer Nature
ISBN 13 : 3031136705
Total Pages : 216 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Lectures on Numerical Radius Inequalities by : Pintu Bhunia

Download or read book Lectures on Numerical Radius Inequalities written by Pintu Bhunia and published by Springer Nature. This book was released on 2022-11-18 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a self-contained advanced monograph on inequalities involving the numerical radius of bounded linear operators acting on complex Hilbert spaces. The study of numerical range and numerical radius has a long and distinguished history starting from the Rayleigh quotients used in the 19th century to nowadays applications in quantum information theory and quantum computing. This monograph is intended for use by both researchers and graduate students of mathematics, physics, and engineering who have a basic background in functional analysis and operator theory. The book provides several challenging problems and detailed arguments for the majority of the results. Each chapter ends with some notes about historical views or further extensions of the topics. It contains a bibliography of about 180 items, so it can be used as a reference book including many classical and modern numerical radius inequalities.

Numerical Distance Protection

Author : Gerhard Ziegler
Publisher : John Wiley & Sons
ISBN 13 : 3895786675
Total Pages : 419 pages
Book Rating : 4.8/5 (957 download)

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Book Synopsis Numerical Distance Protection by : Gerhard Ziegler

Download or read book Numerical Distance Protection written by Gerhard Ziegler and published by John Wiley & Sons. This book was released on 2011-02-08 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distance protection provides the basis for network protection in transmission systems and meshed distribution systems. This book covers the fundamentals of distance protection and the special features of numerical technology. The emphasis is placed on the application of numerical distance relays in distribution and transmission systems. This book is aimed at students and engineers who wish to familiarise themselves with the subject of power system protection, as well as the experienced user, entering the area of numerical distance protection. Furthermore it serves as a reference guide for solving application problems. For this fourth edition all contents, especially the descriptions of numerical protection devices and the very useful appendix have been revised and updated.

C* - Algebras and Numerical Analysis

Author : Ronald Hagen
Publisher : CRC Press
ISBN 13 : 1482270676
Total Pages : 385 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis C* - Algebras and Numerical Analysis by : Ronald Hagen

Download or read book C* - Algebras and Numerical Analysis written by Ronald Hagen and published by CRC Press. This book was released on 2000-09-07 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Analyzes algebras of concrete approximation methods detailing prerequisites, local principles, and lifting theorems. Covers fractality and Fredholmness. Explains the phenomena of the asymptotic splitting of the singular values, and more."

The Oxford Handbook of Numerical Cognition

Author : Roi Cohen Kadosh
Publisher : Oxford Library of Psychology
ISBN 13 : 0199642346
Total Pages : 1217 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis The Oxford Handbook of Numerical Cognition by : Roi Cohen Kadosh

Download or read book The Oxford Handbook of Numerical Cognition written by Roi Cohen Kadosh and published by Oxford Library of Psychology. This book was released on 2015 with total page 1217 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do we understand numbers? Do animals and babies have numerical abilities? Why do some people fail to grasp numbers, and how we can improve numerical understanding? Numbers are vital to so many areas of life: in science, economics, sports, education, and many aspects of everyday life from infancy onwards. Numerical cognition is a vibrant area that brings together scientists from different and diverse research areas (e.g., neuropsychology, cognitive psychology, developmental psychology, comparative psychology, anthropology, education, and neuroscience) using different methodological approaches (e.g., behavioral studies of healthy children and adults and of patients; electrophysiology and brain imaging studies in humans; single-cell neurophysiology in non-human primates, habituation studies in human infants and animals, and computer modeling). While the study of numerical cognition had been relatively neglected for a long time, during the last decade there has been an explosion of studies and new findings. This has resulted in an enormous advance in our understanding of the neural and cognitive mechanisms of numerical cognition. In addition, there has recently been increasing interest and concern about pupils' mathematical achievement in many countries, resulting in attempts to use research to guide mathematics instruction in schools, and to develop interventions for children with mathematical difficulties. This handbook brings together the different research areas that make up the field of numerical cognition in one comprehensive and authoritative volume. The chapters provide a broad and extensive review that is written in an accessible form for scholars and students, as well as educationalists, clinicians, and policy makers. The book covers the most important aspects of research on numerical cognition from the areas of development psychology, cognitive psychology, neuropsychology and rehabilitation, learning disabilities, human and animal cognition and neuroscience, computational modeling, education and individual differences, and philosophy. Containing more than 60 chapters by leading specialists in their fields, the Oxford Handbook of Numerical Cognition is a state-of-the-art review of the current literature.

Stability and Transition in Shear Flows

Author : Peter J. Schmid
Publisher : Springer Science & Business Media
ISBN 13 : 9780387989853
Total Pages : 578 pages
Book Rating : 4.9/5 (898 download)

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Book Synopsis Stability and Transition in Shear Flows by : Peter J. Schmid

Download or read book Stability and Transition in Shear Flows written by Peter J. Schmid and published by Springer Science & Business Media. This book was released on 2000-12-28 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: A detailed look at some of the more modern issues of hydrodynamic stability, including transient growth, eigenvalue spectra, secondary instability. It presents analytical results and numerical simulations, linear and selected nonlinear stability methods. By including classical results as well as recent developments in the field of hydrodynamic stability and transition, the book can be used as a textbook for an introductory, graduate-level course in stability theory or for a special-topics fluids course. It is equally of value as a reference for researchers in the field of hydrodynamic stability theory or with an interest in recent developments in fluid dynamics. Stability theory has seen a rapid development over the past decade, this book includes such new developments as direct numerical simulations of transition to turbulence and linear analysis based on the initial-value problem.

Numerical Methods in Matrix Computations

Author : Åke Björck
Publisher : Springer
ISBN 13 : 3319050893
Total Pages : 800 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Numerical Methods in Matrix Computations by : Åke Björck

Download or read book Numerical Methods in Matrix Computations written by Åke Björck and published by Springer. This book was released on 2014-10-07 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix algorithms are at the core of scientific computing and are indispensable tools in most applications in engineering. This book offers a comprehensive and up-to-date treatment of modern methods in matrix computation. It uses a unified approach to direct and iterative methods for linear systems, least squares and eigenvalue problems. A thorough analysis of the stability, accuracy, and complexity of the treated methods is given. Numerical Methods in Matrix Computations is suitable for use in courses on scientific computing and applied technical areas at advanced undergraduate and graduate level. A large bibliography is provided, which includes both historical and review papers as well as recent research papers. This makes the book useful also as a reference and guide to further study and research work.

Riemann Solvers and Numerical Methods for Fluid Dynamics

Author : Eleuterio F. Toro
Publisher : Springer Science & Business Media
ISBN 13 : 366203915X
Total Pages : 635 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Riemann Solvers and Numerical Methods for Fluid Dynamics by : Eleuterio F. Toro

Download or read book Riemann Solvers and Numerical Methods for Fluid Dynamics written by Eleuterio F. Toro and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: High resolution upwind and centered methods are today a mature generation of computational techniques applicable to a wide range of engineering and scientific disciplines, Computational Fluid Dynamics (CFD) being the most prominent up to now. This textbook gives a comprehensive, coherent and practical presentation of this class of techniques. The book is designed to provide readers with an understanding of the basic concepts, some of the underlying theory, the ability to critically use the current research papers on the subject, and, above all, with the required information for the practical implementation of the methods. Applications include: compressible, steady, unsteady, reactive, viscous, non-viscous and free surface flows.

The Oxford Handbook of Comparative Cognition

Author : Thomas R. Zentall
Publisher : Oxford University Press
ISBN 13 : 019993066X
Total Pages : 960 pages
Book Rating : 4.1/5 (999 download)

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Book Synopsis The Oxford Handbook of Comparative Cognition by : Thomas R. Zentall

Download or read book The Oxford Handbook of Comparative Cognition written by Thomas R. Zentall and published by Oxford University Press. This book was released on 2012-03-20 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past decade, the field of comparative cognition has grown and thrived. No less rigorous than purely behavioristic investigations, examinations of animal intelligence are useful for scientists and psychologists alike in their quest to understand the nature and mechanisms of intelligence. Extensive field research of various species has yielded exciting new areas of research, integrating findings from psychology, behavioral ecology, and ethology in a unique and wide-ranging synthesis of theory and research on animal cognition. The Oxford Handbook of Comparative Cognition contains sections on perception and illusion, attention and search, memory processes, spatial cognition, conceptualization and categorization, problem solving and behavioral flexibility, and social cognition processes including findings in primate tool usage, pattern learning, and counting. The authors have incorporated findings and theoretical approaches that reflect the current state of the field. This comprehensive volume will be a must-read for students and scientists who want to know about the state of the art of the modern science of comparative cognition.

Clayton V. James B. Clow & Sons

Author :
Publisher :
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.W/5 ( download)

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Book Synopsis Clayton V. James B. Clow & Sons by :

Download or read book Clayton V. James B. Clow & Sons written by and published by . This book was released on 1963 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Algorithms

Author : Justin Solomon
Publisher : CRC Press
ISBN 13 : 1482251892
Total Pages : 400 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Numerical Algorithms by : Justin Solomon

Download or read book Numerical Algorithms written by Justin Solomon and published by CRC Press. This book was released on 2015-06-24 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics presents a new approach to numerical analysis for modern computer scientists. Using examples from a broad base of computational tasks, including data processing, computational photography, and animation, the textbook introduces numerical modeling and algorithmic desig

Numerical Computer Methods

Author : Michael L. Johnson
Publisher : Gulf Professional Publishing
ISBN 13 : 9780121822224
Total Pages : 512 pages
Book Rating : 4.8/5 (222 download)

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Book Synopsis Numerical Computer Methods by : Michael L. Johnson

Download or read book Numerical Computer Methods written by Michael L. Johnson and published by Gulf Professional Publishing. This book was released on 2000 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: The critically acclaimed laboratory standard for more than forty years, Methods in Enzymology is one of the most highly respected publications in the field of biochemistry. Since 1955, each volume has been eagerly awaited, frequently consulted, and praised by researchers and reviewers alike. Now with more than 300 volumes (all of them still in print), the series contains much material still relevant today--truly an essential publication for researchers in all fields of life sciences.

A Journey through the History of Numerical Linear Algebra

Author : Claude Brezinski
Publisher : SIAM
ISBN 13 : 1611977231
Total Pages : 813 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis A Journey through the History of Numerical Linear Algebra by : Claude Brezinski

Download or read book A Journey through the History of Numerical Linear Algebra written by Claude Brezinski and published by SIAM. This book was released on 2022-12-06 with total page 813 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expansive volume describes the history of numerical methods proposed for solving linear algebra problems, from antiquity to the present day. The authors focus on methods for linear systems of equations and eigenvalue problems and describe the interplay between numerical methods and the computing tools available at the time. The second part of the book consists of 78 biographies of important contributors to the field. A Journey through the History of Numerical Linear Algebra will be of special interest to applied mathematicians, especially researchers in numerical linear algebra, people involved in scientific computing, and historians of mathematics.