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
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