Recent Advances in Matrix and Operator Theory

by Ball, Joseph A.; Eidelman, Yuli; Helton, J. William; Olshevsky, Vadim; Rovnyak, James

• ISBN13: 9783764385385
• ISBN10: 3764385383
• Format: Hardcover
• Copyright: 2008-01-03
• Publisher: Birkhauser

Summary

This volume comprises the proceedings of the International Workshop on Operator Theory and Its Applications held at the University of Connecticut in July 2005.

Table of Contents

Editorial Introduction	p. vii
Inverse Problems for First-Order Discrete Systems	p. 1
Stability of Dynamical Systems via Semidefinite Programming	p. 25
Ranks of Hadamard Matrices and Equivalence of Sylvester-Hadamard and Pseudo-Noise Matrices	p. 35
Image of a Jacobi Field	p. 47
The Higher Order Carathéodory-Julia Theorem and Related Boundary Interpolation Problems	p. 63
A Generahzation to Ordered Groups of a Kre&ibreve;n Theorem	p. 103
A Fast QR Algorithm for Companion Matrices	p. 111
The Numerical Range of a Class of Self-adjoint Operator Functions	p. 145
A Perturbative Analysis of the Reduction into Diagonal-plus-semiseparable Form of Symmetrie Matrices	p. 157
The Eigenstructure of Complex Symmetrie Operators	p. 169
Higher Order Asymptotic Formulas for Traces of Toeplitz Matrices with Symbols in Hölder-Zygmund Spaces	p. 185
On an Eigenvalue Problem for Some Nonlinear Transformations of Multi-dimensional Arrays	p. 197
On Embedding of the Bratteh Diagram into a Surface	p. 211
Superfast Inversion of Two-Level Toeplitz Matrices Using Newton Iteration and Tensor-Displacement Structure	p. 229
On Generalized Numerical Ranges of Quadratic Operators	p. 241
Inverse Problems for Canonical Differential Equations with Singularities	p. 257
On Triangular Factorization of Positive Operators	p. 289
Solutions for the <$>H^{\infty}(D^n)<$> Corona Problem Belonging to <$>\exp(L^{\frac{1}{2n-1})<$>	p. 309
A Matrix and its Inverse: Revisiting Minimal Rank Completions	p. 329
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