Linear Algebra and its ApplicationsVolume 40, October 1981, Pages 143-159Group inverses of certain positive operatorsAuthor links open overlay panelEmilie Haynsworth, J.R. WallShow moreShareCitehttps://doi.org/10.1016/0024-3795(81)90146-4Get rights and contentUnder an Elsevier user licenseopen archiveAbstractPositive operators on certain polyhedral cones with the property that the group inverse of the operator is equal to some power of the operator are characterized. The special case of the Moore-Penrose inverse is also considered.Previous article in issueNext article in issueRecommended articlesCited by (0)Copyright © 1981 Published by Elsevier Inc.