Titlebook: Numerical Methods for Structured Matrices and Applications; The Georg Heinig Mem Dario Andrea Bini,Volker Mehrmann,Marc Barel Book 2010 Bir

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A Fast Algorithm for Approximate Polynomial GCD Based on Structured Matrix Computationsased on the formulation of polynomial gcd given in terms of resultant (Bézout, Sylvester) matrices, on their displacement structure and on the reduction of displacement structured matrices to Cauchy-like form originally pointed out by Georg Heinig. A Matlab implementation is provided. Numerical expe

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On the Weyl Matrix Balls Corresponding to the Matricial Carathéodory Problem in Both Nondegenerate aa nondegenerate matricial Carathéodory problem the corresponding Weyl matrix balls were computed by I.V. Kovalishina [Ko] and alternatively by the first and the second authors in [FK1, Parts IV and V]. Mathematics Subject Classification (2000). Primary: 44A60, 47A57, 30E05 Secondary: 47A56.

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Unified Nearly Optimal Algorithms for Structured Integer Matrices inverse of its structured coefficient matrix. We consider integer matrices with the displacement structure of Toeplitz, Hankel, Vandermonde, and Cauchy types and combine the unified divide-and-conquer MBA algorithm (due to Morf 1974, 1980 and Bitmead and Anderson 1980) with the Chinese remainder al