On some functional equations
The article contains no abstract
The article contains no abstract
The authors present a recurrent procedure for obtaining the simultaneous minimum Euclidean norm solution of the set of n linear equations A(1)v=b(1),...,A(n)v=b(n) when the matrix A=(A′(1):...:A′(n))′ is of full row rank.
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.
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