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.

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.