Multistage equalization of direct conditioned observations of unknowns
Mathematica Applicanda, Tome 9 (1981) no. 17.

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The following problem is considered: For a given (measured) vector l, a vector v is sought such that A(l+v)+By=w for some unknown y and v T v=min (matrices A, B and the vector w are given). Further, it is assumed that the system of equations has a partitioned form A j (l+v)+B j y=w j , j=1,···,n. Formulas for solutions are given, also in the partitioned form along with a multistage numerical algorithm.
Mots-clés : Linear equations, Overdetermined systems, pseudoinverses 
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G. Majcher; T. Styrylska. Multistage equalization of direct conditioned observations of unknowns. Mathematica Applicanda, Tome 9 (1981) no. 17. https://geodesic-test.mathdoc.fr/item/MA_1981__9_17_292721/