Articoli correlati a Numerical Range: The Field Of Values Of Linear Operators...
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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 dimensions comprise the theory of the numerical range W(T) This book is dedicated to presenting the fundamentals of the subject. In order to make the book quickly informative, the authors place and keep the subject in a complex Hilbert space. This setting is the heart of the numerical range theory for bounded linear operators T and naturally contains the field of values for finite dimensional matrices T.
This book is a particularly well-prepared account of a beautiful and interesting part of functional analysis that also has important applications in numerical analysis.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
1 Numerical Range.- 1.1 Elliptic Range.- 1.2 Spectral Inclusion.- 1.3 Numerical Radius.- 1.4 Normal Operators.- 1.5 Numerical Boundary.- 1.6 Other W-Ranges.- Endnotes for Chapter 1.- 2 Mapping Theorems.- 2.1 Radius Mapping.- 2.2 Analytic Functions.- 2.3 Rational Functions.- 2.4 Operator Products.- 2.5 Commuting Operators.- 2.6 Dilation Theory.- Endnotes for Chapter 2.- 3 Operator Trigonometry.- 3.1 Operator Angles.- 3.2 Minmax Equality.- 3.3 Operator Deviations.- 3.4 Semigroup Generators.- 3.5 Accretive Products.- 3.6 Antieigenvalue Theory.- Endnotes for Chapter 3.- 4 Numerical Analysis.- 4.1 Optimization Algorithms.- 4.2 Conjugate Gradient.- 4.3 Discrete Stability.- 4.4 Fluid Dynamics.- 4.5 Lax—Wendroff Scheme.- 4.6 Pseudo Eigenvalues.- Endnotes for Chapter 4.- 5 Finite Dimensions.- 5.1 Value Field.- 5.2 Gersgorin Sets.- 5.3 Radius Estimates.- 5.4 Hadamard Product.- 5.5 Generalized Ranges.- 5.6 W(A) Computation.- Endnotes for Chapter 5.- 6 Operator Classes.- 6.1 Resolvent Growth.- 6.2 Three Classes.- 6.3 Spectral Sets.- 6.4 Normality Conditions.- 6.5 Finite Inclusions.- 6.6 Beyond Spectraloid.- Endnotes for Chapter 6.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Numerical Range. The Field of Values of Linear Operators and Matrices
Da: Zubal-Books, Since 1961, Cleveland, OH, U.S.A.
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Condizione: Fine. *Price HAS BEEN reduced by 10% until Monday, Aug. 18 (weekend SALE item)* 189 pp., Paperback, spine lightly faded else fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Codice articolo ZB1305631
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Numerical Range
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Condizione: New. pp. 210. Codice articolo 26316903
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Numerical Range
Da: Biblios, Frankfurt am main, HESSE, Germania
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Condizione: New. pp. 210. Codice articolo 18316909
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Numerical Range
Da: Majestic Books, Hounslow, Regno Unito
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Condizione: New. pp. 210 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. Codice articolo 7563832
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Numerical Range: The Field of Values of Linear Operators and Matrices (Universitext)
Da: Big River Books, Powder Springs, GA, U.S.A.
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Condizione: good. This book is in good condition. The cover has minor creases or bends. The binding is tight and pages are intact. Some pages may have writing or highlighting. Codice articolo BRV.038794835X.G
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Numerical Range
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Springer New York, 1996
ISBN 10: 038794835X
ISBN 13: 9780387948355
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Kartoniert / Broschiert. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 a. Codice articolo 5912220
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Numerical Range
Editore:
Springer New York Nov 1996, 1996
ISBN 10: 038794835X
ISBN 13: 9780387948355
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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is dedicated to presenting the fundamentals of numerical ranges. In order to make it quickly informative the authors place and keep the subject in a complex Hilbert space. This setting is the heart of the numerical range theory for bounded linear operators T. This text is a particularly well prepared account of a beautiful and interesting part of functional analysis which appears to have important applications in numerical analysis. 208 pp. Englisch. Codice articolo 9780387948355
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Numerical Range: The Field of Values of Linear Operators and Matrices (Universitext)
Da: HPB-Red, Dallas, TX, U.S.A.
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paperback. Condizione: Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority! Codice articolo S_425003536
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Numerical Range
Editore:
Springer New York, Springer US Nov 1996, 1996
ISBN 10: 038794835X
ISBN 13: 9780387948355
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Taschenbuch
Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Taschenbuch. Condizione: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 208 pp. Englisch. Codice articolo 9780387948355
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Numerical Range: The Field of Values of Linear Operators and Matrices (Universitext)
Da: Ria Christie Collections, Uxbridge, Regno Unito
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Condizione: New. In. Codice articolo ria9780387948355_new
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