Applied and Computational Matrix Analysis: MAT-TRIAD, Coimbra, Portugal, September 2015 Selected, Revised Contributions (Springer Proceedings in Mathematics & Statistics (192))

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. Front Matter....Pages i-xiii Birkhoff Polynomial Basis....Pages 1-25 On Relation Between P-Matrices and Regularity of Interval Matrices....Pages 27-35 Interval Linear Algebra and Computational Complexity....Pages 37-66 On Optimal Extended Row Distance Profile....Pages 67-77 Spectral Bounds for the k-Regular Induced Subgraph Problem....Pages 79-91 Multiplicities: Adding a Vertex to a Graph....Pages 93-103 Nonlinear Local Invertibility Preservers....Pages 105-116 More on the Hankel Pencil Conjecture—News on the Root Conjecture....Pages 117-126 Componentwise Products of Totally Non-Negative Matrices Generated by Functions in the Laguerre–Pólya Class....Pages 127-137 Fields of Values of Linear Pencils and Spectral Inclusion Regions....Pages 139-150 The Characteristic Polynomial of Linear Pencils of Small Size and the Numerical Range....Pages 151-163 Integer Powers of Certain Complex Pentadiagonal Toeplitz Matrices....Pages 165-179 Chains and Antichains in the Bruhat Order for Classes of (0, 1)-Matrices....Pages 181-197 Symmetrized Tensors and Spherical Functions....Pages 199-217 Testing Independence via Spectral Moments....Pages 219-239 Some Further Remarks on the Linear Sufficiency in the Linear Model....Pages 241-251 The Exact and Near-Exact Distributions for the Statistic Used to Test the Reality of Covariance Matrix in a Complex Normal Distribution....Pages 253-262 Variance Components Estimation in Mixed Linear Model—The Sub-diagonalization Method....Pages 263-274 Back Matter....Pages 275-294 ....Pages 295-315