Sign-central matrices
β Scribed by T. Ando; Richard A. Brualdi
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 755 KB
- Volume
- 208-209
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
The sign pattern matrix A is called sign k-potent if k is the smallest positive integer such that e k1 eX The structure of irreducible, sign k-potent pattern matrices was characterized by Stuart et al. (J. Stuart, C. Eschenbach, S. Kirkland, Linear Algebra Appl. 294 (1999) 85Β±92). We extend those re
The sign pattern matrix A is called sign k-potent if k is the smallest positive integer for which e k1 eX We characterize the irreducible pattern matrices that are sign k-potent and provide a canonical form for such matrices.
A qxn array with entries from {0, 1 ..... q-l} is said to form a difference matrix if the vector difference (modulo q) of each pair of columns consists of a permutation of {0, 1 ..... q -1 }; this definition is inverted from the more standard one to be found, e.g., in Colbourn and de Launey (1996).
In this paper we identify the sign pattern matrices that occur among the N-matrices, the P-matrices and the M-matrices. We also address to the class of inverse M-matrices and the related admissibility of sign pattern matrices problem.