TY - BOOK AU - AU - AU - AU - AU - ED - SpringerLink (Online service) TI - Recent Advances in Matrix and Operator Theory T2 - Operator Theory: Advances and Applications SN - 9783764385392 AV - QA329-329.9 U1 - 515.724 23 PY - 2008/// CY - Basel PB - Birkhuser Basel KW - Mathematics KW - Matrix theory KW - Functional analysis KW - Operator theory KW - Mathematical physics KW - Operator Theory KW - Linear and Multilinear Algebras, Matrix Theory KW - Functional Analysis KW - Mathematical Methods in Physics N1 - Inverse Problems for First-Order Discrete Systems -- Stability of Dynamical Systems via Semidefinite Programming -- Ranks of Hadamard Matrices and Equivalence of SylvesterHadamard and Pseudo-Noise Matrices -- Image of a Jacobi Field -- The Higher Order CarathȨodoryJulia 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 Hȵlder-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 N2 - This book expands the lectures given at IWOTA05 (International Workshop on Operator Theory and Applications) which was held at the University of Connecticut, Storrs, USA, July 2427, 2005. Many developments on the cutting edge of research in operator theory, matrix theory, coding theory, system theory, control theory and numerical linear algebra are reflected in this collection of original articles. The volume is of a cross-disciplinary nature. A number of papers are devoted to the analysis and algorithms for matrices with quasiseparable structure which is an active area of concurrent research in numerical linear algebra UR - http://dx.doi.org/10.1007/978-3-7643-8539-2 ER -