Recent advances in matrix and operator / ed. by Ball J.A., Eidelman Y., Helton J.W., Olshevsky V., Rovnyak J. - Basel: Birkhäuser Verlag AG, 2008. - (Operator theory: advances and applications; Vol. 179). - ISBN-10 3-7643-8538-3; ISBN-13 978-3-7643-8538-5  Место хранения:   013 | Институт математики СО РАН | Новосибирск | Библиотека

Оглавление / Contents

Editorial Introduction ........................................ vii Daniel Alpay and Israel Gohberg Inverse Problems for First-Order Discrete Systems ............... 1 Mihály Bakonyi and Kazumi N. Stovall Stability of Dynamical Systems via Semidefinite Programming .... 25 Tom Bella, Vadim Olshevsky and Lev Sakhnovich Ranks of Hadamard Matrices and Equivalence of Sylvester- Hadamard and Pseudo-Noise Matrices ............................. 35 Yurij M. Berezansky and Artem D. Pulemyotov Image of a Jacobi Field ........................................ 47 Vladimir Bolotnikov and Alexander Kheifets The Higher Order Caratheodory-Julia Theorem and Related Boundary Interpolation Problems ................................ 63 Ramón Bruzual and Marisela Domínguez A Generalization to Ordered Groups of a Krem Theorem .......... 103 Shiv Chandrasekaran, Ming Gu, Jianlin Xia and Jiang Zhu A Fast QR Algorithm for Companion Matrices .................... 111 Nurhan Çolakoglu The Numerical Range of a Class of Self-adjoint Operator Functions ..................................................... 145 Dario Fasino A Perturbative Analysis of the Reduction into Diagonal- plus-semiseparable Form of Symmetric Matrices ................. 157 Stephan Ramon Garcia The Eigenstructure of Complex Symmetric Operators ............. 169 Alexei Yu. Karlovich Higher Order Asymptotic Formulas for Traces of Toeplitz Matrices with Symbols in Hölder-Zygmund Spaces ................ 185 Sawinder P. Kaur and Israel Koltracht On an Eigenvalue Problem for Some Nonlinear Transformations of Multi-dimensional Arrays ................................... 197 Igor V. Nikolaev On Embedding of the Bratteli Diagram into a Surface ........... 211 Vadim Olshevsky, Ivan Oseledets, and Eugene Tyrtyshnikov Superfast Inversion of Two-Level Toeplitz Matrices Using Newton Iteration and Tensor-Displacement Structure ............ 229 Leiba Rodman and Ilya M. Spitkovsky On Generalized Numerical Ranges of Quadratic Operators 241 James Rovnyak and Lev A. Sakhnovich Inverse Problems for Canonical Differential Equations with Singularities ................................................. 257 Lev A. Sakhnovich On Triangular Factorization of Positive Operators ............. 289 Tavan T. Trent Solutions for the H∞(Dn) Corona Problem Belonging to exp(L1/2n-1) ................................................... 309 Hugo J. Woerdemann A Matrix and its Inverse: Revisiting Minimal Rank Completions ................................................... 329