Authors:
Editors:
- Provides a detailed treatment of the emerging field of hidden or approximate-structured matrix problems
- Offers different theoretical and application perspectives in a thorough presentation by leading figures in this area
- Gives rich pointers to the state-of-the-art literature on the subject
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2173)
Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
About this book
Focusing on special matrices and matrices which are in some sense `near’ to structured matrices, this volume covers a broad range of topics of current interest in numerical linear algebra. Exploitation of these less obvious structural properties can be of great importance in the design of efficient numerical methods, for example algorithms for matrices with low-rank block structure, matrices with decay, and structured tensor computations. Applications range from quantum chemistry to queuing theory.
Structured matrices arise frequently in applications. Examples include banded and sparse matrices, Toeplitz-type matrices, and matrices with semi-separable or quasi-separable structure, as well as Hamiltonian and symplectic matrices. The associated literature is enormous, and many efficient algorithms have been developed for solving problems involving such matrices.
The text arose from a C.I.M.E. course held in Cetraro (Italy) in June 2015 which aimed to present this fast growing field to young researchers, exploiting the expertise of five leading lecturers with different theoretical and application perspectives.
Authors, Editors and Affiliations
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Mathematics and Science Center, Emory University, Atlanta, USA
Michele Benzi
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Dipart. di Matematica, Università di Bologna, Bologna, Italy
Valeria Simoncini
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Mathematics and Science Center, Emory University , Atlanta, USA
Michele Benzi
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Università di Pisa , Pisa, Italy
Dario Bini
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École Polytechnique Fédérale de Lausanne , Lausanne, Switzerland
Daniel Kressner
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Department of Mathematics, University of Bergen , Bergen, Norway
Hans Munthe-Kaas
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Department of Computer Science, Cornell University , Ithaca, USA
Charles Van Loan
Bibliographic Information
Book Title: Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications
Book Subtitle: Cetraro, Italy 2015
Authors: Michele Benzi, Dario Bini, Daniel Kressner, Hans Munthe-Kaas, Charles Van Loan
Editors: Michele Benzi, Valeria Simoncini
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-49887-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2016
Softcover ISBN: 978-3-319-49886-7Published: 02 February 2017
eBook ISBN: 978-3-319-49887-4Published: 24 January 2017
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: IX, 406
Number of Illustrations: 11 b/w illustrations, 46 illustrations in colour
Topics: Numerical Analysis, Computational Science and Engineering