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2005 The reverse-order law $(AB)^{\dag}=B^{\dag}(A^{\dag}ABB^{\dag})^{\dag}A^{\dag}$ and its equivalent equalities
Yongge Tian
J. Math. Kyoto Univ. 45(4): 841-850 (2005). DOI: 10.1215/kjm/1250281660

Abstract

This paper collects 26 conditions for the reverse-order law $(AB)^{\dagger} = B^{\dagger}(A^{\dagger}ABB^{\dagger})^{\dagger}A^{\dagger}$ to hold for the Moore-Penrose inverse of matrix.

Citation

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Yongge Tian. "The reverse-order law $(AB)^{\dag}=B^{\dag}(A^{\dag}ABB^{\dag})^{\dag}A^{\dag}$ and its equivalent equalities." J. Math. Kyoto Univ. 45 (4) 841 - 850, 2005. https://doi.org/10.1215/kjm/1250281660

Information

Published: 2005
First available in Project Euclid: 14 August 2009

zbMATH: 1099.15004
MathSciNet: MR2226633
Digital Object Identifier: 10.1215/kjm/1250281660

Subjects:
Primary: ‎15A09

Rights: Copyright © 2005 Kyoto University

Vol.45 • No. 4 • 2005
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