Some recent results on drazin monotonicty of propertynmartices*
- 1 November 1987
- journal article
- research article
- Published by Taylor & Francis in Linear and Multilinear Algebra
- Vol. 21 (3) , 243-251
- https://doi.org/10.1080/03081088708817798
Abstract
If a square matrix has a nonnegarive power it is called a property-n matrix. In a recent paper [12] Werner derived some interesting necessary and sufficient conditions for a property n property-n matrix to be Drazin-montone. In particular, it was shown that a property -n matrix with ind(A) = k is Drazin-monotone if and only if A 2k+1 is weak-r-monotone. Our principal aim here is to show how this result can he strengthened considerably. To tackle this problem we also present several further results on the structure of Drazin-monotone (property-n) matrices.Keywords
All Related Versions
This publication has 9 references indexed in Scilit:
- On weak r-monotonicityLinear Algebra and its Applications, 1987
- Drazin-monotonicity characterizations for property-n matricesLinear Algebra and its Applications, 1985
- Charakterisierungen von monotonen matrizenLinear Algebra and its Applications, 1984
- More on generalizations of matrix monotonicityLinear Algebra and its Applications, 1982
- Nonnegative Drazin inversesLinear Algebra and its Applications, 1980
- MP matricesLinear Algebra and its Applications, 1979
- Eight types of matrix monotonicityLinear Algebra and its Applications, 1976
- Matrix group monotonicityProceedings of the American Mathematical Society, 1974
- Aufgaben monotoner ArtArchiv der Mathematik, 1952