Recent Advances in Matrix and Operator Theory [electronic resource] / edited by Joseph A. Ball, Yuli Eidelman, J. William Helton, Vadim Olshevsky, James Rovnyak.
This book expands the lectures given at IWOTA’05 (International Workshop on Operator Theory and Applications) which was held at the University of Connecticut, Storrs, USA, July 24–27, 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.
Notes
Conference proceedings.
Bibliographic references
Includes bibliographical references.
Language note
English
Contents
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.
ISBN
1-281-14816-4
9786611148164
3-7643-8539-1
OCLC
316691566
Doi
10.1007/978-3-7643-8539-2
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