Multistage equalization of direct conditioned observations of unknowns
G. Majcher, Teresa Styrylska · Roczniki Polskiego Towarzystwa Matematycznego. Seria 3, Matematyka Stosowana/Matematyka Stosowana/Mathematica Applicanda · 1981
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.