On Semimonotone Matrices, R -Matrices and Q-Matrices
Article Type
Research Article
Publication Title
Journal of Optimization Theory and Applications
Abstract
In 1979, Pang proved that within the class of semimonotone matrices, R-matrices are Q-matrices and conjectured that the converse is also true. Jeter and Pye gave a counterexample when n= 5 for the converse; namely, they gave a semimonotone matrix that is in Q but not in R. In this paper, we prove this conjecture for semimonotone matrices of order n≤ 3 and provide a counterexample when n> 3 , showing the sharpness of the result. We also provide an application of this result.
First Page
131
Last Page
147
DOI
10.1007/s10957-022-02066-3
Publication Date
10-1-2022
Recommended Citation
Parthasarathy, Thiruvankatachari; Ravindran, Gomatam; and Kumar, Sunil, "On Semimonotone Matrices, R -Matrices and Q-Matrices" (2022). Journal Articles. 2945.
https://digitalcommons.isical.ac.in/journal-articles/2945
