Recent Advances in Matrix and Operator Theory

Inverse Problems for First-Order Discrete Systems.- Stability of Dynamical Systems via Semidefinite Programming.- Ranks of Hadamard Matrices and Equivalence of Sylvester—Hadamard and Pseudo-Noise Matrices.- Image of a Jacobi Field.- The Higher Order Carathéodory—Julia Theorem and Related Boundary Interpolation Problems.- A Generalization to Ordered Groups of a Kre?n Theorem.- A Fast QR Algorithm for Companion Matrices.- The Numerical Range of a Class of Self-adjoint Operator Functions.- A Perturbative Analysis of the Reduction into Diagonal-plus-semiseparable Form of Symmetric Matrices.- The Eigenstructure of Complex Symmetric Operators.- Higher Order Asymptotic Formulas for Traces of Toeplitz Matrices with Symbols in Hölder-Zygmund Spaces.- On an Eigenvalue Problem for Some Nonlinear Transformations of Multi-dimensional Arrays.- On Embedding of the Bratteli Diagram into a Surface.- Superfast Inversion of Two-Level Toeplitz Matrices Using Newton Iteration and Tensor-Displacement Structure.- On Generalized Numerical Ranges of Quadratic Operators.- Inverse Problems for Canonical Differential Equations with Singularities.- On Triangular Factorization of Positive Operators.- Solutions for the H ?(Dn) Corona Problem Belonging to exp(L1/2n-1.- A Matrix and its Inverse: Revisiting Minimal Rank Completions.