Overview
- Festschrift for outstanding researcher
- Discussion of selected topics of applied mathematics by unique selection of international experts
- Summaries of particular theories and algorithms and discussion of their development as well as the state-of-the-art
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Table of contents (21 chapters)
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Front Matter
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Numerical Algebra
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Front Matter
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Differential-Algebraic Equations and Control Theory
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Front Matter
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Keywords
About this book
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.
Editors and Affiliations
Bibliographic Information
Book Title: Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory
Book Subtitle: Festschrift in Honor of Volker Mehrmann
Editors: Peter Benner, Matthias Bollhöfer, Daniel Kressner, Christian Mehl, Tatjana Stykel
DOI: https://doi.org/10.1007/978-3-319-15260-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-15259-2Published: 21 May 2015
Softcover ISBN: 978-3-319-38431-3Published: 17 October 2016
eBook ISBN: 978-3-319-15260-8Published: 09 May 2015
Edition Number: 1
Number of Pages: XLIV, 608
Number of Illustrations: 9 b/w illustrations, 29 illustrations in colour
Topics: Numerical Analysis, Computational Science and Engineering, Linear and Multilinear Algebras, Matrix Theory, Ordinary Differential Equations, Systems Theory, Control