Structured Matrices in Numerical Linear Algebra Analysis, Algorithms and Applications

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.

1 Barbarino, Spectral Measures.- 2  Garoni, Serra and Sesana, Block Locally Toeplitz Sequences: Construction and Properties.- 3 Garoni, Serra and Sesana, Block Generalized Locally Toeplitz Sequences: Topological Construction, Spectral Distribution Results, and Star-Algebra Structure.- 4 Tetryakov, E. Tyrtyshnikov and Ustimenko, On Matrix Subspaces with Trivial Quadratic Kernels.- 5 D. Fasino and E. Tyrtyshnikov, Error Analysis of TT-format Tensor Algorithms.- 6 B. Iannazzo, B. Jeuris and F. Pompili, The derivative of the matrix geometric mean and the factorization of tensor grids.- 7 Del Corso, Poloni, Robol and Vandebril, Factoring block Fiedler Companion Matrices.- 8 De Teran and Hernando, A class of companion pencils.- 9 Mastronardi, Taeter and Van Dooren, On computing eigenvectors of symmetric tridiagonal matrices.- 10 Kressner, A Krylov subspace method for the approximation of bivariate matrix functions.- 11 M. Benzi and F. Panjeh Ali Beik, Uzawa-type and augmented Lagrangian methods for double saddle point systems.- 12 Bergamaschi and Martinez: "Generalized block tuned preconditioners for SPD eigensolvers.- 13 N. Guglielmi and M. Manetta, Stability of gyroscopic systems with respect to perturbations.- 14 A. Aimi, M. Diligenti and C. Guardasoni, Energetic BEM for the numerical solution of 2D hard scattering problems of damped waves by open arcs.- 15 Bertaccini and Durastante, Efficient preconditioner updates for semilinear space-time fractional reaction-diffusion equations.- 16 R. Chan, R. Zhao, A Nuclear-norm Model for Multi-Frame Super-Resolution Reconstruction from Video Clips.

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.