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Numerische Mathematik

, Volume 58, Issue 1, pp 109–127 | Cite as

Parallel and superfast algorithms for Hankel systems of equations

  • G. Heinig
  • P. Jankowski
Article

Summary

Utilizing kernel structure properties a unified construction of Hankel matrix inversion algorithms is presented. Three types of algorithms are obtained: 1)O(n2) complexity Levinson type, 2)O (n) parallel complexity Schur-type, and 3)O(n log2n) complexity “asymptotically fast” ones. All algorithms work without additional assumption (like strong nonsingularity).

Subject classifications

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

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Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • G. Heinig
    • 1
  • P. Jankowski
    • 1
  1. 1.Sektion Mathematik PSF 964Technische Universität Karl-Marx-StadtKarl-Marx-StadtGerman Democratic Republic

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