Numerical Methods for Structured Matrices and Applications

, by Bini, Dario Andrea; Mehrmann, Volker; Olshevsky, Vadim; Tyrtyshnikov, Eugene E.; Van Barel, Marc

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ISBN: 9783764389956 | 3764389958
Cover: Hardcover
Copyright: 1/3/2010

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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.

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Foreword	p. vii
Georg Heinig
Georg Heinig (1947-2005) In Memoriam	p. 3
Georg Heinig, November 24, 1947 - May 10, 2005 A Personal Memoir and Appreciation	p. 7
Introduction to Bezoutians	p. 25
On Matrices that are not Similar to a Toeplitz Matrix and a Family of Polynomials	p. 119
Research Contributions
A Traub-like Algorithm for Hessenberg-quasi-separable-Vandermonde Matrices of Arbitrary Order	p. 127
A Fast Algorithm for Approximate Polynomial GCD Based on Structured Matrix Computations	p. 155
On Inertia of Some Structured Hermitian Matrices	p. 175
Variable-coefficient Toeplitz Matrices with Symbols beyond the Wiener Algebra	p. 191
A Priori Estimates on the Structured Conditioning of Cauchy and Vandermonde Matrices	p. 203
Factorizations of Totally Negative Matrices	p. 221
QR-factorization of Displacement Structured Matrices Using a Rank Structured Matrix Approach	p. 229
Bezoutians Applied to Least Squares Approximation of Rational Functions	p. 255
On the Weyl Matrix Balls Corresponding to the Matricial Carathéodory Problem in Both Nondegenerate and Degenerate Cases	p. 289
On Extremal Problems of Interpolation Theory with Unique Solution	p. 333
O(n) Algorithms for Banded Plus Semiseparable Matrices	p. 347
Unified Nearly Optimal Algorithms for Structured Integer Matrices	p. 359
V-cycle Optimal Convergence for DCT-III Matrices	p. 377
The Ratio Between the Toeplitz and the Unstructured Condition Number	p. 397
A New Algorithm for Finding Positive Eigenvectors for a Class of Nonlinear Operators Associated with M-matrices	p. 421
Hankel Minors and Pade Approximations	p. 431
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Numerical Methods for Structured Matrices and Applications

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