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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储备 发表于 2025-3-23 18:53:24
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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 and alternatively by the first and the second authors in . Mathematics Subject Classification (2000). Primary: 44A60, 47A57, 30E05 Secondary: 47A56.Facilities 发表于 2025-3-24 22:38:15
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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