Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory

Festschrift in Honor of Volker Mehrmann

  • Peter Benner
  • Matthias Bollhöfer
  • Daniel Kressner
  • Christian Mehl
  • Tatjana Stykel

Table of contents

  1. Front Matter
    Pages i-xliv
  2. Numerical Algebra

    1. Front Matter
      Pages 1-1
    2. David S. Watkins
      Pages 25-43
    3. Wen-Wei Lin, Christian Schröder
      Pages 45-65
    4. Federico Poloni
      Pages 107-129
    5. Christian Mehl, Hongguo Xu
      Pages 131-159
    6. Mihail M. Konstantinov, Petko H. Petkov
      Pages 161-197
    7. Shreemayee Bora, Michael Karow
      Pages 199-222
  3. Matrix Theory

    1. Front Matter
      Pages 297-297
    2. Erik S. Van Vleck
      Pages 299-318
    3. D. Steven Mackey, Niloufer Mackey, Françoise Tisseur
      Pages 319-348
    4. André C. M. Ran, Leiba Rodman
      Pages 349-376
    5. Shmuel Friedland, Venu Tammali
      Pages 377-411
  4. Differential-Algebraic Equations and Control Theory

    1. Front Matter
      Pages 413-413
    2. Nancy K. Nichols, Delin Chu
      Pages 415-433

About this book

Introduction

This edited volume highlights the scientific contributions of Volker Mehrmann, a leading expert in the area of numerical (linear) algebra, matrix theory, differential-algebraic equations and control theory. These mathematical research areas are strongly related and often occur in the same real-world applications. The main areas where such applications emerge are computational engineering and sciences, but increasingly also social sciences and economics.

This book also reflects some of Volker Mehrmann's major career stages. Starting out working in the areas of numerical linear algebra (his first full professorship at TU Chemnitz was in "Numerical Algebra," hence the title of the book) and matrix theory, Volker Mehrmann has made significant contributions to these areas ever since. The highlights of these are discussed in Parts I and II of the present book. Often the development of new algorithms in numerical linear algebra is motivated by problems in system and control theory. These and his later major work on differential-algebraic equations, to which he together with Peter Kunkel made many groundbreaking contributions, are the topic of the chapters in Part III.

Besides providing a scientific discussion of Volker Mehrmann's work and its impact on the development of several areas of applied mathematics, the individual chapters stand on their own as reference works for selected topics in the fields of numerical (linear) algebra, matrix theory, differential-algebraic equations and control theory.

Keywords

control theory differential-algebraic equations matrix theory numerical analysis numerical linear algebra ordinary differential equations

Editors and affiliations

  • Peter Benner
    • 1
  • Matthias Bollhöfer
    • 2
  • Daniel Kressner
    • 3
  • Christian Mehl
    • 4
  • Tatjana Stykel
    • 5
  1. 1.Max Planck Institute for Dynamics of Complex Technical SystemsMagdeburgGermany
  2. 2.Carl-Friedrich-Gauß FakultätTU Braunschweig, Institute Computational MathematicsBraunschweigGermany
  3. 3.MATHICSEÉcole Polytechnique Fédérale de Lausanne (EPFL)LausanneSwitzerland
  4. 4.Institute of MathematicsT U BerlinBerlinGermany
  5. 5.Institute of MathematicsUniversity of AugsburgAugsburgGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-15260-8
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-15259-2
  • Online ISBN 978-3-319-15260-8
  • About this book
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