Geodesic
Monotone maps on matrices of index one
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXV, Tome 405 (2012), pp. 67-96 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper investigates bijective maps on the set of matrices of index one that are monotone with respect to the order induced by the group inverse. 
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A. E. Guterman; M. A. Efimov. Monotone maps on matrices of index one. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXV, Tome 405 (2012), pp. 67-96. http://geodesic.mathdoc.fr/item/ZNSL_2012_405_a6/

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