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Structured Matrices in Numerical Linear Algebra

Analysis, Algorithms and Applications

  • Highlights the most advanced research topics in the field of structured matrix analysis
  • Gathers contributions by the foremost international research groups
  • Will benefit researchers, PhD students and post-docs alike

Part of the book series: Springer INdAM Series (SINDAMS, volume 30)

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-ix
  2. Spectral Measures

    • Giovanni Barbarino
    Pages 1-24
  3. Block Locally Toeplitz Sequences: Construction and Properties

    • Carlo Garoni, Stefano Serra-Capizzano, Debora Sesana
    Pages 25-58
  4. On Matrix Subspaces with Trivial Quadratic Kernels

    • Alexey Tretyakov, Eugene Tyrtyshnikov, Alexey Ustimenko
    Pages 81-90
  5. Error Analysis of TT-Format Tensor Algorithms

    • Dario Fasino, Eugene E. Tyrtyshnikov
    Pages 91-106
  6. Factoring Block Fiedler Companion Matrices

    • Gianna M. Del Corso, Federico Poloni, Leonardo Robol, Raf Vandebril
    Pages 129-155
  7. A Class of Quasi-Sparse Companion Pencils

    • Fernando De Terán, Carla Hernando
    Pages 157-179
  8. On Computing Eigenvectors of Symmetric Tridiagonal Matrices

    • Nicola Mastronardi, Harold Taeter, Paul Van Dooren
    Pages 181-195
  9. Uzawa-Type and Augmented Lagrangian Methods for Double Saddle Point Systems

    • Michele Benzi, Fatemeh Panjeh Ali Beik
    Pages 215-236
  10. Generalized Block Tuned Preconditioners for SPD Eigensolvers

    • Luca Bergamaschi, Ángeles Martínez
    Pages 237-252
  11. Stability of Gyroscopic Systems with Respect to Perturbations

    • Nicola Guglielmi, Manuela Manetta
    Pages 253-266
  12. Energetic BEM for the Numerical Solution of 2D Hard Scattering Problems of Damped Waves by Open Arcs

    • Alessandra Aimi, Mauro Diligenti, Chiara Guardasoni
    Pages 267-283

About this book

This book gathers selected contributions presented at the INdAM Meeting Structured Matrices in Numerical Linear Algebra: Analysis, Algorithms and Applications, held in Cortona, Italy on September 4-8, 2017. Highlights cutting-edge research on Structured Matrix Analysis, it covers theoretical issues, computational aspects, and applications alike. The contributions, written by authors from the foremost international groups in the community, trace the main research lines and treat the main problems of current interest in this field. The book offers a valuable resource for all scholars who are interested in this topic, including researchers, PhD students and post-docs.

Editors and Affiliations

  • Department of Mathematics, University of Pisa, Pisa, Italy

    Dario Andrea Bini

  • Department of Mathematics, University of Genoa, Genoa, Italy

    Fabio Di Benedetto

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

    Eugene Tyrtyshnikov

  • Department of Computer Science, KU Leuven, Heverlee, Belgium

    Marc Van Barel

About the editors

Dario A. Bini, a Full Professor of Numerical Analysis since 1986, has held a permanent position at the University of Pisa since 1989. His research mainly focuses on numerical linear algebra problems, on structured matrix analysis and on the design and analysis of algorithms for polynomial and matrix computations. The author of three research books and more than 120 papers, he also serves on the editorial boards of three international journals.

Fabio Di Benedetto has been an Associate Professor of Numerical Analysis at the Department of Mathematics of the University of Genova, where he teaches courses on Numerical Analysis for undergraduate and graduate students, since 2000. His main research interests concern the solution of large-scale numerical linear algebra problems, with special attention to structured matrices analysis with applications to image processing. He is the author of more than 30 papers.

Eugene Tyrtyshnikov, Professor and Chairman at the Lomonosov Moscow State University, is a Full Member of the Russian Academy of Sciences and Director of the Institute of Numerical Mathematics of the Russian Academy of Sciences, Moscow. He completed his Ph.D. in Numerical Mathematics at Moscow State University, and his postdoctoral studies at the Siberian Branch of the Russian Academy of Sciences, Novosibirsk. His research interests concern numerical analysis, linear and multilinear algebra, approximation theory and related applications. He is the associate editor of many international journals and the author of more than 100 papers and 8 books.

Marc Van Barel received his Ph.D. in Computer Engineering (Numerical Analysis and Applied Mathematics) from the KU Leuven, where he is currently a Full Professor at the Department of Computer Science. His work mainly focuses on numerical (multi-)linear algebra, approximation theory, orthogonal functions and their applications in systems theory, signal processing,machine learning, etc. He is the author or co-author of more than 140 papers and 4 books. Currently, he serves on the editorial boards of three international journals.

Bibliographic Information

  • Book Title: Structured Matrices in Numerical Linear Algebra

  • Book Subtitle: Analysis, Algorithms and Applications

  • Editors: Dario Andrea Bini, Fabio Di Benedetto, Eugene Tyrtyshnikov, Marc Van Barel

  • Series Title: Springer INdAM Series

  • DOI: https://doi.org/10.1007/978-3-030-04088-8

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2019

  • Hardcover ISBN: 978-3-030-04087-1Published: 17 April 2019

  • eBook ISBN: 978-3-030-04088-8Published: 08 April 2019

  • Series ISSN: 2281-518X

  • Series E-ISSN: 2281-5198

  • Edition Number: 1

  • Number of Pages: IX, 322

  • Number of Illustrations: 25 b/w illustrations, 27 illustrations in colour

  • Topics: Numerical Analysis, Linear and Multilinear Algebras, Matrix Theory

Buy it now

Buying options

eBook USD 44.99 USD 89.00
49% discount Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 59.99 USD 119.99
50% discount Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access