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M-matrix products having positive principal minors

Linear and Multilinear Algebra, 1984
Sufficient conditions are given for powers and products of M-matrices to have all principal minors positive. Several of these conditions involve directed graphs of the matrices. In particular we show that if A and B are irreducible M-matrices which have longest simple circuit of length two with A+B having no simple circuit longer than three, then the ...
Charles R. Johnson   +2 more
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An algorithm on the minimal eigenvalue of an M-matrix with centrosymmetric structure

2011 IEEE 3rd International Conference on Communication Software and Networks, 2011
The M-matrix is an important kind of structured matrix with many applications in various physics and engineering problems. In this paper, we focus on the minimal eigenvalue of an M-matrix. We first discuss the method of diagonal transformation, an algorithm for the spectral radius of irreducible nonnegative matrices.
Hongyi Li, Di Zhao
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Graphical solution of (n×m) matrix of a game theory

European Journal of Operational Research, 1999
Abstract Game theory deals with decisions under uncertainty involving two or more intelligent opponents in which each opponent aspires to optimise his own decision at the expense of the other opponents. To solve the matrix of game theory, graphical method is the easiest compared to other methods such as dominance property, matrix method etc.
Sanjay Kumar, D.S.N. Reddy
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Parity and time reversal invariance and the M-matrix

Nuclear Physics A, 1970
Abstract Parity and time reversal conditions are derived for M -matrix elements in a manner applicable to any choice of coordinate axes.
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