Results 111 to 120 of about 2,333 (139)

On the semiring of generalized inverses of a matrix

Asian-European Journal of Mathematics
In this paper, we consider the set of all generalized inverses of an [Formula: see text] matrix [Formula: see text], denoted by [Formula: see text] and define two binary operations, ⊕ and ⋆ with some properties which offer the structure of a semi ring to [Formula: see text]. The compatibility of some partial orders like Sussman’s order, Conrad’s order,
P. H. Sathi, P. G. Romeo
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Orderings by intergenerational mobility based on the semiring of monotone matrix

2011 IEEE 9th International Symposium on Intelligent Systems and Informatics, 2011
The paper studies Shorrocks' and Blackwell's ordering in a semiring of monotone doubly stochastic matrices. It gives the relationship between these two orderings, and it is proven that these orderings are compatible with Dardanoni's partial ordering on a set of monotone matrices.
B. Jankovic, E. Pap
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A Study of 2 x 2 Matrix Semirings over Commutative Weak Inductive *-semirings

2012 International Conference on Computer Science and Electronics Engineering, 2012
Let S = (S, +, 0, 1, *) be a weak inductive semiring. The collection of all n*n matrices S^n*n, equipped with the usual matrix operations +, and the unary operation * defined in [3], form a *-semiring. Esik and Kuich propose a open problem that whether the semiring S^n*n is weak inductive. In this paper, we investigate the case n = 2.
Jing Tian, Zhen Qu, Xiaoqin Shen, Pihu Feng   +3 more
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Factor and term ranks for matrix union over semirings

Journal of Mathematical Sciences, 2006
The paper deals with the investigation of several rank functions for matrices over antinegative semirings. The preferences are given to the factor and term ranks. It is shown that their behavior is usually completely different from the usual rank function behavior over a field. The main results of the paper are some exact upper and lower bounds for the
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Matrix factorization over semirings

2017
Semiring is an algebraic structure with which some problems that are nonlinear in classical algebra, can be solved in a linear manner. By matrix factorization, decomposing input matrix into two (or more) matrices, various problems in data mining and machine learning can be solved.
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A Generalization of the All Minors Matrix Tree Theorem to Semirings

1999
The ‘All Minors Matrix Tree Theorem’ (Chen, Applied Graph Theory, Graphs and Electrical Networks, North-Holland, Amsterdam, 1976; Chaiken, SIAM J. Algebraic Discrete Math. 3 (3) (1982) 319–329) is an extension of the well-known ‘Matrix Tree Theorem’ (Tutte, Proc. Cambridge Philos. Soc.
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On matrix of matrices over semirings

Mathematical Sciences Letters, 2018
Z. M. G. Kishka, M. Saleem, S. Sharqawy, A. Elrawy   +3 more
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Derivations of upper triangular matrix semirings

Linear and Multilinear Algebra, 2022
exaly  

Endomorphisms of upper triangular matrix semirings

Communications in Algebra, 2022
exaly  

Permutability of matrices over bipotent semirings

Semigroup Forum, 2022
Thomas Aird, Mark Kambites
exaly