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Parallel and superfast algorithms for Hankel systems of equations (1990)

Heinig, G. ; Jankowski, P.

Springer

Numerische Mathematik 58 (1990), S. 109-127

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ISSN: 0945-3245

Keywords: AMS(MOS) 65F05 ; 15A09 ; 47B35 ; 93B15 ; CR:G1.3

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: 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).

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01385613

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