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C.I.M.E. Foundation Subseries

Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications

Cetraro, Italy 2015

Authors: Benzi, M., Bini, D., Kressner, D., Munthe-Kaas, H., Van Loan, C.

Editors: Benzi, Michele, Simoncini, Valeria (Eds.)

  • 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
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eBook $69.99
price for USA (gross)
  • ISBN 978-3-319-49887-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for USA
  • ISBN 978-3-319-49886-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

Table of contents (5 chapters)

  • Structured Matrix Problems from Tensors

    Loan, Charles F.

    Pages 1-63

  • Matrix Structures in Queuing Models

    Bini, Dario A.

    Pages 65-159

  • Matrices with Hierarchical Low-Rank Structures

    Ballani, Jonas (et al.)

    Pages 161-209

  • Localization in Matrix Computations: Theory and Applications

    Benzi, Michele

    Pages 211-317

  • Groups and Symmetries in Numerical Linear Algebra

    Munthe-Kaas, Hans Z.

    Pages 319-406

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-319-49887-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for USA
  • ISBN 978-3-319-49886-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications
Book Subtitle
Cetraro, Italy 2015
Authors
Editors
  • Michele Benzi
  • Valeria Simoncini
Series Title
C.I.M.E. Foundation Subseries
Series Volume
2173
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s) 2018
eBook ISBN
978-3-319-49887-4
DOI
10.1007/978-3-319-49887-4
Softcover ISBN
978-3-319-49886-7
Edition Number
1
Number of Pages
IX, 406
Number of Illustrations and Tables
11 b/w illustrations, 46 illustrations in colour
Topics