Scalings of matrices which have prespecified row sums and column sums via optimization

[1]  Michael H. Schneider.  Matrix scaling, entropy minimization, and conjugate duality (II): The dual problem , 1990, Math. Program..

[2]  J. Lorenz,et al.  On the scaling of multidimensional matrices , 1989 .

[3]  Michael H. Schneider.  Matrix scaling, entropy minimization, and conjugate duality. I. existence conditions , 1989 .

[4]  U. Rothblum.  Generalized scalings satisfying linear equations , 1989 .

[5]  T. Raghavan,et al.  An extension of a theorem of Darroch and Ratcliff in loglinear models and its application to scaling multidimensional matrices , 1989 .

[6]  Classifications of nonnegative matrices using diagonal equivalence , 1988 .

[7]  N. F. Stewart,et al.  Bregman's balancing method , 1981 .

[8]  B. King.  What is a SAM? A layman's guide to social accounting matrices , 1981 .

[9]  T. Elfving.  On some methods for entropy maximization and matrix scaling , 1980 .

[10]  B. D. Saunders,et al.  Applications of the Gordan–Stiemke Theorem in Combinatorial Matrix Theory , 1979 .

[11]  R. Krupp.  Properties of krulthof's Projection method , 1979, The Bell System Technical Journal.

[12]  B. David,et al.  APPLICATIONS OF THE GORDAN-STIEMKE THEOREM IN , 1979 .

[13]  Mordecai Avriel,et al.  Nonlinear programming , 1976 .

[14]  On the spectrum of a nonlinear operator , 1974 .

[15]  Michael Green.  Biproportional Matrices and Input‐Output Change , 1971 .

[16]  Michael Bacharach,et al.  Biproportional matrices & input-output change , 1970 .

[17]  Hans Schneider,et al.  The spectrum of a nonlinear operator associated with a matrix , 1969 .

[18]  I. Olkin,et al.  Scaling of matrices to achieve specified row and column sums , 1968 .

[19]  R. Brualdi.  Convex Sets of Non-Negative Matrices , 1968, Canadian Journal of Mathematics.

[20]  M. V. Menon.  Matrix Links, An Extremization Problem, and the Reduction of a Non-Negative Matrix to One With Prescribed Row and Column Sums , 1968 .

[21]  Richard Sinkhorn,et al.  Concerning nonnegative matrices and doubly stochastic matrices , 1967 .

[22]  M. V. Menon.  REDUCTION OF A MATRIX WITH POSITIVE ELEMENTS TO A DOUBLY STOCHASTIC MATRIX , 1967 .

[23]  R. Brualdi,et al.  The diagonal equivalence of a nonnegative matrix to a stochastic matrix , 1966 .

[24]  Richard Sinkhorn,et al.  A Relationship between Arbitrary Positive Matrices and Stochastic Matrices , 1966, Canadian Journal of Mathematics.

[25]  Richard Sinkhorn.  A Relationship Between Arbitrary Positive Matrices and Doubly Stochastic Matrices , 1964 .