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Equivalent iterative methods for p-cyclic matrices (2000)

Ernst, Oliver G.

Springer

Numerical algorithms 25 (2000), S. 161-180

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ISSN: 1572-9265

Keywords: SOR ; cyclic reduction ; Krylov subspace methods ; GMRES ; FOM ; p-cyclic matrices ; equivalent iterative methods

Source: Springer Online Journal Archives 1860-2000

Topics: Computer Science , Mathematics

Notes: Abstract An overview is given of the simplifications which arise when p-cyclic systems are solved by iterative methods. Besides the classic iterative methods, we treat the Chebyshev semi-iterative method and the OR and MR variants of the class of Krylov subspace methods. Particular emphasis is given to equivalent iterations applied to the cyclically reduced system.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1016666622895

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