Bini D. Numerical Methods for Structured Matrices and Applications 2010

Textbook in PDF format

This cross-disciplinary volume brings together theoretical mathematicians, engineers and numerical analysts and publishes surveys and research articles related to the topics where Georg Heinig had made outstanding achievements. In particular, this includes contributions from the fields of structured matrices, fast algorithms, operator theory, and applications to system theory and signal processing.
Georg Heinig (1947—2005) In Memoriam
Georg Heinig November 24, 1947 - May 10, 2005 A Personal Memoir and Appreciation
Introduction to Bezoutians
On Matrices that are not Similar to a Toeplitz Matrix and a Family of Polynomials Tewodros Amdeberhan and Georg Heinig
A Traub-like Algorithm for Hessenbergquasiseparable- Vandermonde Matrices of Arbitrary Order
A Fast Algorithm for Approximate Polynomial GCD Based on Structured Matrix Computations
On Inertia of Some Structured Hermitian Matrices
Variable-coefficient Toeplitz Matrices with Symbols beyond the Wiener Algebra
A Priori Estimates on the Structured Conditioning of Cauchy and Vandermonde Matrices
Factorizations of Totally Negative Matrices
QR-factorization of Displacement Structured Matrices Using a Rank Structured Matrix Approach
Bezoutians Applied to Least Squares Approximation of Rational Functions
On the Weyl Matrix Balls Corresponding to the Matricial Carathéodory Problem in Both Nondegenerate and Degenerate Cases
On Extremal Problems of Interpolation Theory with Unique Solution
O(n) Algorithms for Banded Plus Semiseparable Matrices
Unified Nearly Optimal Algorithms for Structured Integer Matrices
V-cycle Optimal Convergence for DCT-III Matrices
The Ratio Between the Toeplitz and the Unstructured Condition Number
A New Algorithm for Finding Positive Eigenvectors for a Class of Nonlinear Operators Associated with M-matrices
Hankel Minors and Pade Approximations