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Sign pattern matrices that admit -, -, - or inverse -matrices

✍ Scribed by C. Mendes Araújo; Juan R. Torregrosa


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
137 KB
Volume
431
Category
Article
ISSN
0024-3795

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✦ Synopsis


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.


📜 SIMILAR VOLUMES


Sign patterns of inverse-positive matric
✍ Charles R. Johnson; Frank Thomson Leighton; Herbert A. Robinson 📂 Article 📅 1979 🏛 Elsevier Science 🌐 English ⚖ 411 KB
Potentially nilpotent sign pattern matri
✍ Carolyn A. Eschenbach; Zhongshan Li 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 128 KB

A sign pattern is said to be potentially nilpotent if it allows nilpotence. In this paper, a number of qualitative necessary or sufficient conditions for a sign pattern to allow nilpotence are established. The sign patterns that allow nilpotence of index 2 are investigated. For orders up to 3, poten