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Moore-Penrose inverse in an indefinite inner product space
Published in Journal of Applied Mathemathics
2005
Volume: 19
   
Issue: 1-2
Pages: 297 - 310
Abstract
The concept of the Moore-Penrose inverse in an indefinite inner product space is introduced. Extensions of some of the formulae in the Euclidean space to an indefinite inner product space are studied. In particular range-hermitianness is completely characterized. Equivalence of a weighted generalized inverse and the Moore-Penrose inverse is proved. Finally, methods of computing the Moore-Penrose inverse are presented. © 2005 Korean Society for Computational & Applied Mathematics and Korean SIGCAM.
About the journal
JournalJournal of Applied Mathematics and Computing
PublisherJournal of Applied Mathemathics
ISSN15985865
Open AccessNo