On nonnegative jordan chains for the generalized nullspace of a singular M-Matrix^*

^*Research partially supported by Spanish DGICYT grant number PB91-0535.

Abstract

For the generalized nullspace E(A) of a singular M-matrix A, we study necessary conditions to obtain Jordan chains consisting of nonnegative vectors of a Jordan basis for E(A). These conditions are based on the t-predecessor property of the singular graph of the matrix A. We continue the results about this subject given by Hershkowitz and Schneider [5]. further we give a sufficient condition so that Theorem 6.10 of [5] holds.

^*Research partially supported by Spanish DGICYT grant number PB91-0535.

^*Research partially supported by Spanish DGICYT grant number PB91-0535.

Notes

^*Research partially supported by Spanish DGICYT grant number PB91-0535.