On Some Properties of Sign Pattern of Generalized Inverse

Bin Chi · Journal of Tongji University · 2001

A real matrix A is said to have a signed generalized inverse if the sign pattern of its generalized inverse A + is uniquely determined by the sign pattern of A.In this paper,on the base of researches about signed generalized inverses,we further study the sign pattern and zero pattern of A + where A is a matrix having signed generalized inverse.We also apply these results to obtain some property of least spuare sign solvable linear systems in terms of matrices having signed generalized inverses.

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