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Vanishing pseudo–Schur complements, reverse order laws, absorption laws and inheritance properties
Bisht K.,
Published in Taylor and Francis Ltd.
2018
Volume: 66
   
Issue: 1
Pages: 167 - 183
Abstract
The problem of vanishing of a (generalized) Schur complement of a block matrix (corresponding to the leading principal subblock) implying that the other (generalized) Schur complement (corresponding to the trailing principal subblock) is zero, is revisited. Absorption laws for two important classes of generalized inverses are considered next. Inheritance properties of the generalized Schur complements in relation to the absorption laws are derived. Inheritance by the generalized principal pivot transform is also studied. © 2017 Informa UK Limited, trading as Taylor & Francis Group.
About the journal
JournalData powered by TypesetLinear and Multilinear Algebra
PublisherData powered by TypesetTaylor and Francis Ltd.
ISSN03081087
Open AccessNo