Representation of the group inverses for two class of block matrices

Cao Chong-guang · Journal of Natural Science of Heilongjiang University · 2006

At the present time there is no known representation for the Drazin inverse of matrices of the form M=AB CO,where A is square. This is an open research problem proposed by S.L.Campbell in [1]. Block matrices of this form arise in numerous applications, ranging from constrained optimization problems to the solution of differential equations. Representation of groups inverses of two class of block matrices of the form M is given.

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