Recent Advances in Matrix and Operator Theory (eBook)

Editors 5
Contents 6
Editorial Introduction 8
Inverse Problems for First-Order Discrete Systems 9
Stability of Dynamical Systems via Semidefinite Programming 33
Ranks of Hadamard Matrices and Equivalence of Sylvester – Hadamard and Pseudo-Noise Matrices 43
Image of a Jacobi Field 55
The Higher Order Caratheodory–Julia Theorem and Related Boundary Interpolation Problems 71
A Generalization to Ordered Groups of a Krein Theorem 111
The Numerical Range of a Class of Self- adjoint Operator Functions 151
A Perturbative Analysis of the Reduction into Diagonal-plus-semiseparable Form of Symmetric Matrices 162
The Eigenstructure of Complex Symmetric Operators 173
Higher Order Asymptotic Formulas for Traces of Toeplitz Matrices with Symbols in Hölder- Zygmund Spaces 188
On an Eigenvalue Problem for Some Nonlinear Transformations of Multi-dimensional Arrays 200
On Embedding of the Bratteli Diagram into a Surface 214
Superfast Inversion of Two-Level Toeplitz Matrices Using Newton Iteration and Tensor-Displacement Structure 231
On Generalized Numerical Ranges of Quadratic Operators 243
Inverse Problems for Canonical Di.erential Equations with Singularities 259
On Triangular Factorization of Positive Operators 291
Solutions for the H8(Dn) Corona Problem Belonging to exp 311
A Matrix and its Inverse: Revisiting Minimal Rank Completions 331