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On the matrix monotonicity of generalized inversion. (English) Zbl 0418.15018


MSC:

15B57 Hermitian, skew-Hermitian, and related matrices
15A09 Theory of matrix inversion and generalized inverses
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References:

[1] Bellman, R., Introduction to Matrix Analysis, ((1960), McGraw-Hill: McGraw-Hill New York), 59 · Zbl 0124.01001
[2] Ben-Israel, A.; Greville, T. N.E., Generalized Inverses: Theory and Applications (1974), Wiley-Interscience: Wiley-Interscience New York · Zbl 0305.15001
[3] Gaffke, N.; Krafft, O., Moore-Penrose inverses and optimum designs in complete two-way layouts, Rheinisch-Westfälische Technische Hochschule Aachen (1977) · Zbl 0373.62043
[4] Penrose, R., A generalized inverse for matrices, Proc. Cambridge Philos. Soc., 51, 406-413 (1955) · Zbl 0065.24603
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