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5. Some properties of GM-matrices and their inverses

Author

Maybee, John S. and Richman, Daniel J.

Abstract

The class of GM-matrices is defined by requiring that a positive cycle contain any negative cycle it intersacts. Using the cycle structure, a canonical form is developed for irreducible GM-matrices. Relationships between the signs of the principal minors and the cycle are derived. In special cases, results are obtained on the signs of elements of the inverse of a GM-matrix.

Published
1988
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6. Primes in the Semigroup of Non-Negative Matrices.

Author

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER, Richman,Daniel J., Schneider,Hans, WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER, Richman,Daniel J., and Schneider,Hans

Abstract

A matrix A in the semigroup (N sub n) of non-negative n x n matrices in a prime if A is not monomial and A = BC, b, C belongs to (N sub n) implies that either B or C is monomial. One necessary and another sufficient condition are given for a matrix in (N sub n) to be prime. It is proved that every prime in (N sub n) is completely decomposable. (Author)

Published
1974

7. BEE IN A POPPY.

Author

Richman, Daniel J.

Subjects
BEE in a Poppy (Poem), RICHMAN, Daniel J.
Abstract

The poem "BEE IN A POPPY" by Daniel J. Richman is presented. First Line: He was no workaholic. Sure, Last Line: like honey on my wounds.

Published
2014

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