Applied and Computational Matrix Analysis : MAT-TRIAD, Coimbra, Portugal, September 2015 Selected, Revised Contributions / edited by Natália Bebiano.

Format:

Book

Contributor:

Bebiano, Natália, Editor.

Series:

Springer Proceedings in Mathematics & Statistics, 2194-1017 ; 192

Language:

English

Subjects (All):

Algebras, Linear.

Graph theory.

Algebra, Homological.

Associative rings.

Associative algebras.

Operator theory.

System theory.

Control theory.

Linear Algebra.

Graph Theory.

Category Theory, Homological Algebra.

Associative Rings and Algebras.

Operator Theory.

Systems Theory, Control.

Local Subjects:

Linear Algebra.

Graph Theory.

Category Theory, Homological Algebra.

Associative Rings and Algebras.

Operator Theory.

Systems Theory, Control.

Physical Description:

1 online resource (XIII, 347 p. 17 illus., 7 illus. in color.)

Edition:

1st ed. 2017.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2017.

Summary:

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.

Contents:

1. A. Amiraslani, H. Faßbender, N. Shayanfar: Birkhoff polynomial basis

2. M. Hladik: On relation between P-matrices and regularity of interval matrices

3. J. Horacek, M. Hladik, M. Cerny: Interval Linear Algebra and Computational Complexity

4. P. Almeida, D. Napp, R. Pinto: On optimal extended row distance profile

5. M. El Oued, D. Napp, R. Pinto, M. Toste: The dual of convolutional codes over Zpr

6. S. Mendes: On the K-theory of the reduced C*-algebras of GL(n,R) and GL(n,C)

7. D. Moreira Cardoso, S.J. Pinheiro: Spectral bounds for the k-regular induced subgraph problem

8. K. Toyonaga, C. Johnson, R. Uhrig: Multiplicities: Adding a Vertex to a Graph

9. M. Bendaoud, M. Jabbar, M. Sarih: Nonlinear local invertibility preservers

10. A. Kovacec: More on the Hankel Pencil Conjecture

11. P. Batra: Componentwise products of totally nonnegative matrices generated by functions in the Laguerre-Polya class

12. N. Bebiano, J. da Providencia, A. Nata, J.P. da Providencia: Fields of values of linear pencils and spectral inclusion regions

13. N. Bebiano, J. da Providencia, F. Esmaeili: The characteristic polynomial of linear pencils of small size and the numerical range

14. H.K. Duru, D. Bozkurt: Integer Powers of Certain Complex Pentadiagonal Toeplitz Matrices

15. R. Mamede: Chains and antichains in the Bruhat order for classes of (0,1)-matrices

16. M. Saha: Iterative method for linear system with coefficient matrix as an Mv-matrix

17. C. Gamas: Symmetrized tensors and spherical functions

18. J. Pielaszkiewicz, D. von Rosen, M. Singull: Testing independence via spectral moments

19. R. Kala, A. Markiewicz, S. Puntanen: Some further remarks on the linear sufficiency in the linear model

20. L.M. Grilo, C.A. Coelho: The exact and near-exact distributions for the statistic used to test the reality of covariance matrix in a complex normal distribution

21. A. Silva, M. Fonseca, J. Mexia: Variance Components Estimation in Mixed Linear Model.

Notes:

Includes bibliographical references at the end of each chapters and index.

ISBN:

9783319499840