Convergence and related properties for a modified biproportional matrix problem
This paper establishes the convergence of iterative routines formatrix balancing in which <i>some </i>row and <i>some </i>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.