Equivalence analysis of different reverse order laws for generalized inverses of a matrix product

DOI10.1007/s13226-021-00200-xzbMath1501.15004OpenAlexW3216320232WikidataQ114852233 ScholiaQ114852233MaRDI QIDQ2095069

Yongge Tian

Publication date: 9 November 2022

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-021-00200-x

zbMATH Keywords

matrix productrankrangeMoore-Penrose generalized inverseorthogonal projectorreverse order law

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24)

Related Items (2)

Some new characterizations of a Hermitian matrix and their applications ⋮ A study of range equalities for mixed products of two matrices and their generalized inverses

Cites Work

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• Rank equalities related to outer inverses of matrices and applications
• The Moore of the Moore-Penrose inverse
• Note on the Generalized Inverse of a Matrix Product
• On the ``Reverse Order Law Related to the Generalized Inverse of Matrix Products
• The equivalence between (AB)^†=B^†A^†and other mixed-type reverse-order laws

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