Linear Algebra and its ApplicationsVolumes 237–238, April 1996, Pages 97-108The group inverse of a triangular matrixAuthor links open overlay panelXuzhou Chen, Robert E HartwigShow moreShareCitehttps://doi.org/10.1016/0024-3795(95)00561-7Get rights and contentUnder an Elsevier user licenseopen archiveAbstractBlock conditions are given for the group inverse of a triangular matrix over a field to exist. These involve the zero-nonzero Schur complement. Applications are given to idempotent matrices.Previous article in issueNext article in issueRecommended articlesCited by (0)Copyright © 1996 Published by Elsevier Inc.