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Birkhäuser

Numerical Methods for Structured Matrices and Applications

The Georg Heinig Memorial Volume

  • Book
  • © 2010

Overview

Editors:
  1. Dario Andrea Bini

    1. Dipartimento di Matematica, Università di Pisa, Pisa, Italy

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  2. Volker Mehrmann

    1. Institut für Mathematik, Technische Universität Berlin, Berlin, Germany

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  3. Vadim Olshevsky

    1. Department of Mathematics, University of Connecticut, Storrs, USA

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  4. Eugene E. Tyrtyshnikov

    1. Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russia

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  5. Marc Barel

    1. Department of Computer Science, Katholieke Universiteit Leuven, Leuven (Heverlee), Belgium

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  • In honor of Georg Heinig, one of the leading experts in the field of structured matrices, an irreplaceable colleague, and
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT, volume 199)

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Table of contents (20 chapters)

  1. Front Matter

    Pages i-viii
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  2. Georg Heinig

    1. Front Matter

      Pages 1-1
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    2. Georg Heinig (1947—2005) In Memoriam

      • Albrecht Böttcher, Israel Gohberg, Bernd Silbermann
      Pages 3-6

    3. Georg Heinig November 24, 1947 - May 10, 2005 A Personal Memoir and Appreciation

      • Karla Rost
      Pages 7-23

    4. Introduction to Bezoutians

      • Karla Rost
      Pages 25-118

    5. On Matrices that are not Similar to a Toeplitz Matrix and a Family of Polynomials Tewodros Amdeberhan and Georg Heinig

      • Tewodros Amdeberhan, Georg Heinig
      Pages 119-123

  3. Research Contributions

    1. Front Matter

      Pages 125-125
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    2. A Traub-like Algorithm for Hessenbergquasiseparable- Vandermonde Matrices of Arbitrary Order

      • T. Bella, V. Olshevsky, P. Zhlobich, Y. Eidelman, I. Gohberg, E. Tyrtyshnikov
      Pages 127-154

    3. A Fast Algorithm for Approximate Polynomial GCD Based on Structured Matrix Computations

      • Dario A. Bini, Paola Boito
      Pages 155-173

    4. On Inertia of Some Structured Hermitian Matrices

      • Vladimir Bolotnikov
      Pages 175-189

    5. Variable-coefficient Toeplitz Matrices with Symbols beyond the Wiener Algebra

      • Albrecht Böttcher, Sergei Grudsky
      Pages 191-202

    6. A Priori Estimates on the Structured Conditioning of Cauchy and Vandermonde Matrices

      • Enrico Bozzo, Dario Fasino
      Pages 203-220

    7. Factorizations of Totally Negative Matrices

      • V. Cortés, J.M. Peña
      Pages 221-227

    8. QR-factorization of Displacement Structured Matrices Using a Rank Structured Matrix Approach

      • Steven Delvaux, Luca Gemignani, Marc Van Barel
      Pages 229-254

    9. Bezoutians Applied to Least Squares Approximation of Rational Functions

      • Sven Feldmann
      Pages 255-288

    10. On the Weyl Matrix Balls Corresponding to the Matricial Carathéodory Problem in Both Nondegenerate and Degenerate Cases

      • Bernd Fritzsche, Bernd Kirstein, Andreas Lasarow
      Pages 289-332

    11. On Extremal Problems of Interpolation Theory with Unique Solution

      • Bernd Fritzsche, Bernd Kirstein, Lev A. Sakhnovich
      Pages 333-346

    12. O(n) Algorithms for Banded Plus Semiseparable Matrices

      • Jitesh Jain, Hong Li, Cheng-Kok Koh, Venkataramanan Balakrishnan
      Pages 347-358

    13. Unified Nearly Optimal Algorithms for Structured Integer Matrices

      • Victor Y. Pan, Brian J. Murphy, Rhys Eric Rosholt
      Pages 359-375

    14. V-cycle Optimal Convergence for DCT-III Matrices

      • C. Tablino Possio
      Pages 377-396
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Keywords

Editors and Affiliations

  • Dipartimento di Matematica, Università di Pisa, Pisa, Italy

    Dario Andrea Bini

  • Institut für Mathematik, Technische Universität Berlin, Berlin, Germany

    Volker Mehrmann

  • Department of Mathematics, University of Connecticut, Storrs, USA

    Vadim Olshevsky

  • Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russia

    Eugene E. Tyrtyshnikov

  • Department of Computer Science, Katholieke Universiteit Leuven, Leuven (Heverlee), Belgium

    Marc Barel

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