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Applied and Computational Matrix Analysis

MAT-TRIAD, Coimbra, Portugal, September 2015 Selected, Revised Contributions

  • Conference proceedings
  • © 2017

Overview

Editors:
  1. Natália Bebiano

    1. Department of Mathematics, University of Coimbra, Coimbra, Portugal

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  • Presents applications of matrix theory, including statistics, spectral graph theory, numerical analysis and interval linear algebra
  • Provides an overview of recent developments in the field of matrix analysis
  • Explores a broad selection of topics of interest in applied mathematics
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 192)

Included in the following conference series:

Conference proceedings info: MAT-TRIAD 2015.

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Table of contents (21 papers)

  1. Front Matter

    Pages i-xiii
    Download chapter PDF

  2. Birkhoff Polynomial Basis

    • Amir Amiraslani, Heike Faßbender, Nikta Shayanfar
    Pages 1-25

  3. On Relation Between P-Matrices and Regularity of Interval Matrices

    • Milan Hladík
    Pages 27-35

  4. Interval Linear Algebra and Computational Complexity

    • Jaroslav Horáček, Milan Hladík, Michal Černý
    Pages 37-66

  5. On Optimal Extended Row Distance Profile

    • P. Almeida, D. Napp, R. Pinto
    Pages 67-77

  6. The Dual of Convolutional Codes Over \({\mathbb {Z}}_{p^r}\)

    • Mohammed El Oued, Diego Napp, Raquel Pinto, Marisa Toste
    Pages 79-91

  7. On the K-Theory of the Reduced \(C^*\)-Algebras of \(GL(n,\mathbb {R})\) and \(GL(n,\mathbb {C})\)

    • Sérgio Mendes
    Pages 93-103

  8. Spectral Bounds for the k-Regular Induced Subgraph Problem

    • Domingos Moreira Cardoso, Sofia J. Pinheiro
    Pages 105-116

  9. Multiplicities: Adding a Vertex to a Graph

    • Kenji Toyonaga, Charles R. Johnson, Richard Uhrig
    Pages 117-126

  10. Nonlinear Local Invertibility Preservers

    • M. Bendaoud, M. Jabbar, M. Sarih
    Pages 127-137

  11. More on the Hankel Pencil Conjecture—News on the Root Conjecture

    • Alexander Kovačec
    Pages 139-150

  12. Componentwise Products of Totally Non-Negative Matrices Generated by Functions in the Laguerre–Pólya Class

    • Prashant Batra
    Pages 151-163

  13. Fields of Values of Linear Pencils and Spectral Inclusion Regions

    • Natália Bebiano, João da Providência, Ana Nata, João P. da Providência
    Pages 165-179

  14. The Characteristic Polynomial of Linear Pencils of Small Size and the Numerical Range

    • Natália Bebiano, João da Providência, Fatemeh Esmaeili
    Pages 181-197

  15. Integer Powers of Certain Complex Pentadiagonal Toeplitz Matrices

    • Hatice Kübra Duru, Durmuş Bozkurt
    Pages 199-217

  16. Chains and Antichains in the Bruhat Order for Classes of (0, 1)-Matrices

    • Ricardo Mamede
    Pages 219-239

  17. Iterative Method for Linear System with Coefficient Matrix as an \(M_\vee \)-matrix

    • Manideepa Saha
    Pages 241-251

  18. Symmetrized Tensors and Spherical Functions

    • Carlos Gamas
    Pages 253-262

  19. Testing Independence via Spectral Moments

    • Jolanta Pielaszkiewicz, Dietrich von Rosen, Martin Singull
    Pages 263-274

  20. Some Further Remarks on the Linear Sufficiency in the Linear Model

    • Radosław Kala, Augustyn Markiewicz, Simo Puntanen
    Pages 275-294
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Other volumes

  1. Applied and Computational Matrix Analysis

Keywords

About this book

This volume presents recent advances in the field of matrix analysis based on contributions at the MAT-TRIAD 2015 conference. Topics covered include interval linear algebra and computational complexity, Birkhoff polynomial basis, tensors, graphs, linear pencils, K-theory and statistic inference, showing the ubiquity of matrices in different mathematical areas.

With a particular focus on matrix and operator theory, statistical models and computation, the International Conference on Matrix Analysis and its Applications 2015, held in Coimbra, Portugal, was the sixth in a series of conferences. 

Applied and Computational Matrix Analysis will appeal to graduate students and researchers in theoretical and applied mathematics, physics and engineering who are seeking an overview of recent problems and methods in matrix analysis.



Editors and Affiliations

  • Department of Mathematics, University of Coimbra, Coimbra, Portugal

    Natália Bebiano

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