Tensor structure and the least squares |
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Authors: | Petr Vaníček |
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Affiliation: | (1) National Geodetic Survey, National Ocean Survey, Rockville, Maryland;(2) Present address: Department of Surveying Engineering, University of New Brunswick, E 38 5A3 Fredericton, N.B., Canada |
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Abstract: | It is shown that for linear parametric adjustment models all the least-squares equations can be obtained from a commutative diagram, where the observation and parameter spaces are regarded as covariant. Their contravariant counterparts are defined through the metric property of the covariance matrix of the observations. |
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