Parallel and superfast algorithms for Hankel systems of equations |
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Authors: | G Heinig P Jankowski |
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Institution: | (1) Sektion Mathematik PSF 964, Technische Universität Karl-Marx-Stadt, DDR-9010 Karl-Marx-Stadt, German Democratic Republic |
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Abstract: | Summary Utilizing kernel structure properties a unified construction of Hankel matrix inversion algorithms is presented. Three types of algorithms are obtained: 1)O(n
2) complexity Levinson type, 2)O (n) parallel complexity Schur-type, and 3)O(n log2
n) complexity asymptotically fast ones. All algorithms work without additional assumption (like strong nonsingularity). |
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Keywords: | AMS(MOS) 65F05 15A09 47B35 93B15 CR:G1 3 |
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