منابع مشابه
Sign Pattern Matrices that Admit P0 Matrices
A P0-matrix is a real square matrix all of whose principle minors are nonnegative. In this paper, we consider the class of P0-matrix. Our main aim is to determine which sign pattern matrices are admissible for this class of real matrices. Keywords—Sign pattern matrices, P0 matrices, graph, digraph
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We consider Z{matrices and inverse Z{matrices, i.e. those nonsingular matrices, whose inverse is a Z{matrix. Recently Fiedler and Markham introduced a classii-cation of Z{matrices. This classiication directly leads to a classiication of inverse Z{matrices. Among all classes of Z{matrices and inverse Z{matrices the classes of M{matrices, N 0 {matrices, F 0 {matrices and inverse M{matrices, inver...
متن کاملOn the Generalized Nullspace of M-Matrlces and Z-Matrices*
A proof is given for the preferred basis theorem for the generalized nullspace of a given M-matrix. The theorem is then generalized and extended to the case of a Z-matrix.
متن کاملGENERALIZED REGULAR FUZZY MATRICES
In this paper, the concept of k-regular fuzzy matrix as a general- ization of regular matrix is introduced and some basic properties of a k-regular fuzzy matrix are derived. This leads to the characterization of a matrix for which the regularity index and the index are identical. Further the relation between regular, k-regular and regularity of powers of fuzzy matrices are dis- cussed.
متن کاملA note on generalized Perron complements of Z-matrices
The concept of the Perron complement of a nonnegative and irreducible matrix was introduced by Meyer in 1989 and it was used to construct an algorithm for computing the stationary distribution vector for Markov chains. Here properties of the generalized Perron complement of an n×n irreducible Z-matrixK are considered. First the result that the generalized Perron complements of K are irreducible...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1993
ISSN: 0024-3795
DOI: 10.1016/0024-3795(93)90262-m