AlmostP 0-matrices and the classQ |
| |
Authors: | Wallace C. Pye |
| |
Affiliation: | (1) Department of Mathematics, University of Southern Mississippi, 39406-5045 Hattiesburg, MS, USA |
| |
Abstract: | This paper demonstrates that within the class of thosen × n real matrices, each of which has a negative determinant, nonnegative proper principal minors and inverse with at least one positive entry, the class ofQ-matrices coincides with the class of regular matrices. Each of these classes of matrices plays an important role in the theory of the linear complementarity problem. Lastly, analogous results are obtained for nonsingular matrices which possess only nonpositive principal minors. |
| |
Keywords: | Classes of matrices linear complementarity problem P0-matrix Q-matrix R-matrix andR0-matrix |
本文献已被 SpringerLink 等数据库收录! |
|