Abstract
Motivated by too restrictive or even incorrect statements about generalized inverses in the literature, properties about these functions are investigated and proven. Examples and counterexamples show the importance of generalized inverses in mathematical theory and its applications.
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Acknowledgments
The authors would like to thank Jozef Doboš (Pavol Jozef Šafárik University in Košice), Fabrizio Durante (Free University of Bozen-Bolzano), and Bartosz Langowski for giving valuable feedback on an early version of the paper. Furthermore, the authors would like to thank two anonymous referees for carefully reading the paper and giving suggestions.
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M. Hofert (Willis Research Fellow) thanks Willis Re for financial support while this work was being completed.
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Embrechts, P., Hofert, M. A note on generalized inverses. Math Meth Oper Res 77, 423–432 (2013). https://doi.org/10.1007/s00186-013-0436-7
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DOI: https://doi.org/10.1007/s00186-013-0436-7