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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Arithmetik & Algebra Structured Matrices and Polynomials
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Structured Matrices and Polynomials
Victor Y. Pan (Broschiert, Englisch)
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Beschreibung
Structured matrices serve as a natural bridge between the areas of algebraic computations with polynomials and numerical matrix computations, allowing cross-fertilization of both fields. This book covers most fundamental numerical and algebraic computations with Toeplitz, Hankel, Vandermonde, Cauchy, and other popular structured matrices. Throughout the computations, the matrices are represented… by their compressed images, called displacements, enabling both a unified treatment of various matrix structures and dramatic saving of computer time and memory. The resulting superfast algorithms allow further dramatic parallel acceleration using FFT and fast sine and cosine transforms. Included are specific applications to other fields, in particular, superfast solutions to: various fundamental problems of computer algebra; the tangential Nevanlinna--Pick and matrix Nehari problems The primary intended readership for this work includes researchers, algorithm designers, and advanced graduate students in the fields of computations with structured matrices, computer algebra, and numerical rational interpolation. The book goes beyond research frontiers and, apart from very recent research articles, includes yet unpublished results. To serve a wider audience, the presentation unfolds systematically and is written in a user-friendly engaging style. Only some preliminary knowledge of the fundamentals of linear algebra is required. This makes the material accessible to graduate students and new researchers who wish to study the rapidly exploding area of computations with structured matrices and polynomials. Examples, tables, figures, exercises, extensive bibliography, and index lend this text to classroom use or self-study. 53,49 €
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Technische Daten
Erscheinungsdatum
23.10.2012
Sprache
Englisch
EAN
9781461266259
Herausgeber
Birkhäuser Boston
Sonderedition
Nein
Autor
Victor Y. Pan
Seitenanzahl
278
Einbandart
Broschiert
Buch Untertitel
Unified Superfast Algorithms
Schlagwörter
Interpolation, Matrix, algebra, algorithms, computer, computer algebra, linear algebra, matrix theory
Thema-Inhalt
PBF - Algebra
UYA - Theoretische Informatik
UYAM - Mathematik für Informatiker
PBKS - Numerische Mathematik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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