Subroutine SOK: iterative solution of linear equations by the method of averaging functional corrections

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dc.contributor.authorPollard, JPen_AU
dc.date.accessioned2007-11-22T04:20:21Zen_AU
dc.date.accessioned2010-04-30T04:34:12Zen_AU
dc.date.available2007-11-22T04:20:21Zen_AU
dc.date.available2010-04-30T04:34:12Zen_AU
dc.date.issued1968-08en_AU
dc.description.abstractThe subroutine SOK solves a set of N simultaneous linear equations by an essentially iterative method. For the method to converge at a reasonable rate (or at all) the user must choose K(< N), the order of subsidiary equations which are to be obtained from the N given equations. The matrix of coefficients of the K subsidiary equations is inverted using the direct method of Gauss-Jordan. The method is most effective on large sparse matrices that have dominant diagonal terms and for this situation it should be possible to choose K a lot less than N. The method is most advantageous compared to other iterative methods when the trial investigation of typical matrices is worthwhile. For large matrix problems , details are given of a possible compact matrix storage arrangement. For very large matrices, which even when compacted cannot fit in core, the solution procedure is feasible, provided the matrix is available from disk or tape a column at a time. The subroutine is written in FORTRAN for the IBM 360/50 computer.en_AU
dc.identifier.citationPollard, J. P. (1968). Subroutine SOK: iterative solution of linear equations by the method of averaging functional corrections. (AAEC/E192). Lucas Heights, NSW: Australian Atomic Energy Commission.en_AU
dc.identifier.govdoc440en_AU
dc.identifier.otherAAEC-E-192en_AU
dc.identifier.urihttp://apo.ansto.gov.au/dspace/handle/10238/378en_AU
dc.language.isoen_auen_AU
dc.publisherAustralian Atomic Energy Commissionen_AU
dc.subjectLinear programmingen_AU
dc.subjectEquationsen_AU
dc.subjectN codesen_AU
dc.subjectMatricesen_AU
dc.subjectCorrectionsen_AU
dc.titleSubroutine SOK: iterative solution of linear equations by the method of averaging functional correctionsen_AU
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