MINQUE for block diagonal bordered systems such as those encountered in VLBI data analysis |
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| Authors: | J R Lucas W H Dillinger |
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| Institution: | (1) NOAA/NOS/NGS, 1315 East West Highway, 8th Fl, Silver Spring, MD 20910, USA Tel: +1 301 713 2850; fax: +1 301 713 4475; e-mail: billd@dino.grdl.noaa.gov, US |
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| Abstract: | A sparse matrix method is developed for computing variance factors for block-diagonal, bordered systems of equations using
MINQUE (Minimum Norm Quadratic Unbiased Estimation). This method greatly reduces the computational effort required to apply
MINQUE, thus making it practical to compute variance factors for some very large systems of equations. The computer implementation
of the method is described and applied to the computation of variance factors for a combination of 1609 VLBI (Very Long Baseline
Interferometry) observing sessions. The purpose of this test was to compute a variance factor for each of the data sets and,
perhaps, to obtain more realistic variance estimates to replace those in common use for the analysis of VLBI data. It was
found that the method is satisfactory for use with such large problems, and the test served to verify that the variances in
current use in VLBI data adjustments are adequate.
Received: 26 November 1996 / Accepted: 12 December 1997 |
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| Keywords: | , MINQUE,Block-diagonal bordered systems,VLBI |
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