Abstract
This paper gives a characterization of integralEP r matrices and necessary and sufficient conditions for the generalized inverse of the product of two integralEP r matrices to be integral andEP r .
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References
D. Batigne, Integral generalized inverses of integral matrices.Linear Algebra and Appl. 22 (1978), 125–134.MR 80c: 15001
D. Batigne, F. J. Hall andI. J. Katz, Further results on integral generalized inverses of integral matrices,Linear and Multinear Algebra 6 (1978), 233–241.MR 80d: 15020
F. J. Hall andI. J. Katz, On ranks of integral generalized inverses of integral matrices,Linear and Multilinear Algebra 7 (1979), 73–85.
F. J. Hall andI. J. Katz, More on integral generalized inverses of integral matrices,Linear and Multilinear Algebra 9 (1980), 201–209.MR 83e: 15018
I. J. Katz, Theorems on products ofEP r matrices, II,Linear Algebra and Appl. 10 (1975), 37–40.MR 51 # 8134
Ar. Meenakshi, OnEP r matrices with entries from an arbitrary field,Linear and Multilinear Algebra 9 (1980), 159–164.MR 81k: 1024
R. Penrose, A generalized inverse for matrices,Proc. Cambridge Philos. Soc. 51 (1955), 406–413.MR 16—1082
H. Schwerdtfeger,Introduction to linear algebra and the theory of matrices, second edition, Noordhoff, Groningen, 1962.MR 12—470;RŽ (Mat) 1964, 2A211
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Supported by NSERC of Canada, Grants # 7183 and # 4012.
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Meenakshi, A. On integralEP r matrices. Period Math Hung 14, 229–234 (1983). https://doi.org/10.1007/BF01849020
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DOI: https://doi.org/10.1007/BF01849020