Vol. 27, No. 2, 1968

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Quasi-block-stochastic matrices

W. Kuich

Vol. 27 (1968), No. 2, 353–364

The quasi-block-stochastic matrices are introduced as a generalization of the block-stochastic and the quasi-stochastic matrices. The derivation of theorems is possible which are similar to those derived for block-stochastic matrices by W. Kuich and K. Walk and for quasi-stochastic matrices by Haynsworth. Among other theorems the theorem on the group property, the reduction formula and its application to nonnegative matrices holds in a modified manner. An example illustrates the definitions and theorems.

Mathematical Subject Classification
Primary: 15.65
Received: 14 July 1966
Published: 1 November 1968
W. Kuich