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%\refereelayout
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\MAINTITLE{ Optimality relationships for $p$-cyclic
SOR\FOOTNOTE{Research supported in part by the US Air Force under grant
no. AFOSR-88-0285 and the National Science Foundation under grant no.
DMS-85-0285}\FOOTNOTE{second footnote}
}
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\SUBTITLE{ A demonstration text }
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\AUTHOR{Daniel J. Pierce@1, Apostolos Jadjidimos@2\FOOTNOTE{Present
address: Department of Computer Science, Purdue University, West
Lafayette, IN 47907, USA}, and Robert J. Plemmons@3}
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\SENDOFF{R. Plemmons  }
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\MAINTITLERUNNINGHEAD{Optimality relationships for $p$-cyclic SOR}
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\AUTHORRUNNINGHEAD{Daniel J. Pierce, Apostolos Jadjidimos and Robert J.
Plemmons
}
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\INSTITUTE{@1 Boeing Computer Service, P.O. Box 24346, MS 7L-21,
Seattle, WA 98124-0346, USA
@2 Department of Mathematics, University of Ioannina, GR-45 1210
Ionnanina, Greece
@3 Department of Computer Science and Mathematics, North Carolina State
University, Raleigh, NC 27695-8205 USA
}
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\DATE{Received Januar 20, 1989; accepted August 3, 1991 }
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\SUMMARY{ The optimality question for block $p$-cyclic matrix into a
block $q$-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.
}
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%\DEDICATION{ ????? }
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\SUBCLASS{ AMS 3487 }
\maketitle
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% Here type in your text.
\input pjour1.dem
\bye