A practical criterion for multivariate majorization

Alberto Borobia-Ujué · Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum · 1996

Let X and Y be real nxm matrices: Does there exist sorne stochastic nxn matrix S such that SX=Y? Does there exist sorne doubly stochastic nxn matrix D such that DX=Y? We deve/op a practica/ criterion for so/ving these prob/ems. Moreover, we show how to obtain concrete matrices S and D when they there exist.

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