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A further note on a theorem on the difference of the generalized inverses of two nonnegative definite matrices. (English) Zbl 0696.62268
Summary: D. K. W. Andrews and P. C. B. Phillips [ibid. 15, 2973-2975 (1986)] gave a simplified proof for the result that established the nonnegative definiteness of the difference of the Moore-Penrose inverses of two nonnegative definite matrices. The purpose of this paper is to offer a simple proof for a generalization of this result.

MSC:
62J05 Linear regression; mixed models
15A09 Theory of matrix inversion and generalized inverses
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