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  • 1
    Electronic Resource
    Electronic Resource
    Optimality relationships forp-cyclic SOR (1989)
    Springer
    Numerische Mathematik 56 (1989), S. 635-643 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65F10 ; CR: G 1.3
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary The optimality question for blockp-cyclic SOR iterations discussed in Young and Varga is answered under natural conditions on the spectrum of the block Jacobi matrix. In particular, it is shown that repartitioning a blockp-cyclic matrix into a blockq-cyclic form,q〈p, results in asymptotically faster SOR convergence for the same amount of work per iteration. As a consequence block 2-cyclic SOR is optimal under these conditions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01405193
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