9780821832479 - meromorphic functions and linear algebra (fields institute monographs) de american mathematical society (11 resultados)
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Librería: Brook Bookstore On Demand, Napoli, NA, ItaliaBrook Bookstore On Demand
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EUR 58,85
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Librería: Rarewaves.com USA, London, LONDO, Reino UnidoRarewaves.com USA
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EUR 68,91
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Hardback. Condición: New. This volume describes for the first time in monograph form important applications in numerical methods of linear algebra. The author presents new material and extended results from recent papers in a very readable style. The main goal of the book is to study the behavior of the resolvent of a matrix und…er the perturbation by low rank matrices. Whereas the eigenvalues (the poles of the resolvent) and the pseudospectra (the sets where the resolvent takes large values) can move dramatically under such perturbations, the growth of the resolvent as a matrix-valued meromorphic function remains essentially unchanged. This has practical implications to the analysis of iterative solvers for large systems of linear algebraic equations.First, the book introduces the basics of value distribution theory of meromorphic scalar functions. It then introduces a new nonlinear tool for linear algebra, the total logarithmic size of a matrix, which allows for a nontrivial generalization of Rolf Nevanlinna's characteristic function from the scalar theory to matrix- and operator-valued functions. In particular, the theory of perturbations by low rank matrices becomes possible. As an example, if the spectrum of a normal matrix collapses under a low rank perturbation, there is always a compensation in terms of the loss of orthogonality of the eigenvectors.This qualitative phenomenon is made quantitative by using the new tool. Applications are given to rational approximation, to the Kreiss matrix theorem, and to convergence of Krylov solvers. The book is intended for researchers in mathematics in general and especially for those working in numerical linear algebra. Much of the book is understandable if the reader has a good background in linear algebra and a first course in complex analysis.
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Librería: Revaluation Books, Exeter, Reino UnidoRevaluation Books
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EUR 61,18
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Hardcover. Condición: Brand New. 136 pages. 10.00x7.00x0.50 inches. In Stock.
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- Primera edición
Librería: Kennys Bookshop and Art Galleries Ltd., Galway, GY, IrlandaKennys Bookshop and Art Galleries Ltd.
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EUR 66,52
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Condición: New. Describes in monograph form important applications in numerical methods of linear algebra. This book studies the behavior of the resolvent of a matrix under the perturbation by low rank matrices. It also introduces the basics of value distribution theory of meromorphic scalar functions. Series: Fields Institute M…onographs. Num Pages: 136 pages. BIC Classification: PBF; PBKD; PBKS. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 263 x 182 x 13. Weight in Grams: 484. . 2003. Y First Edition. hardcover. . . . .
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Librería: PBShop.store UK, Fairford, GLOS, Reino UnidoPBShop.store UK
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HRD. Condición: New. New Book. Shipped from UK. Established seller since 2000.
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Librería: Majestic Books, Hounslow, Reino UnidoMajestic Books
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EUR 80,38
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Condición: New. pp. 136.
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Librería: Kennys Bookstore, Olney, MD, Estados Unidos de AmericaKennys Bookstore
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EUR 78,86
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Condición: New. Describes in monograph form important applications in numerical methods of linear algebra. This book studies the behavior of the resolvent of a matrix under the perturbation by low rank matrices. It also introduces the basics of value distribution theory of meromorphic scalar functions. Series: Fields Institute M…onographs. Num Pages: 136 pages. BIC Classification: PBF; PBKD; PBKS. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 263 x 182 x 13. Weight in Grams: 484. . 2003. Y First Edition. hardcover. . . . . Books ship from the US and Ireland.
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Librería: Books Puddle, New York, NY, Estados Unidos de AmericaBooks Puddle
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EUR 92,90
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Condición: New. pp. 136.
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Librería: THE SAINT BOOKSTORE, Southport, Reino UnidoTHE SAINT BOOKSTORE
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EUR 77,51
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Hardback. Condición: New. New copy - Usually dispatched within 4 working days.
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- Primera edición
Librería: Moraine Books, Ruovesi, FinlandiaMoraine Books
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EUR 72,43
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Hardcover. Condición: Fine. 1st Edition. Released as a part of Fields Institute Monographs. Introduction to the basics of value distribution theroy of meromorphic scalaf functions. Then it introduces a new nonlinear tool for linear algebra, the total logarithmic size of a matrix. Text in English. 136 pp.
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Librería: Rarewaves.com UK, London, Reino UnidoRarewaves.com UK
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EUR 65,15
Envío por EUR 76,06Se envía de Reino Unido a Estados Unidos de AmericaCantidad disponible: 2 disponibles
Hardback. Condición: New. This volume describes for the first time in monograph form important applications in numerical methods of linear algebra. The author presents new material and extended results from recent papers in a very readable style. The main goal of the book is to study the behavior of the resolvent of a matrix und…er the perturbation by low rank matrices. Whereas the eigenvalues (the poles of the resolvent) and the pseudospectra (the sets where the resolvent takes large values) can move dramatically under such perturbations, the growth of the resolvent as a matrix-valued meromorphic function remains essentially unchanged. This has practical implications to the analysis of iterative solvers for large systems of linear algebraic equations.First, the book introduces the basics of value distribution theory of meromorphic scalar functions. It then introduces a new nonlinear tool for linear algebra, the total logarithmic size of a matrix, which allows for a nontrivial generalization of Rolf Nevanlinna's characteristic function from the scalar theory to matrix- and operator-valued functions. In particular, the theory of perturbations by low rank matrices becomes possible. As an example, if the spectrum of a normal matrix collapses under a low rank perturbation, there is always a compensation in terms of the loss of orthogonality of the eigenvectors.This qualitative phenomenon is made quantitative by using the new tool. Applications are given to rational approximation, to the Kreiss matrix theorem, and to convergence of Krylov solvers. The book is intended for researchers in mathematics in general and especially for those working in numerical linear algebra. Much of the book is understandable if the reader has a good background in linear algebra and a first course in complex analysis.



