Convergence and related properties for a modified biproportional matrix problem

Abstract

This paper establishes the convergence of iterative routines formatrix balancing in which some row and some column totals must equal prespecified positive numbers. This balancing procedure is called a modified biproportional problem. Applications of the procedure are cited, various theoretical properties discussed, and its relationship with the full biproportional problem, treated in an earlier paper (Macgill, 1977a), is noted.