Further Study on the Dual Core-EP Inverse Properties of Matrices
The dual Core-EP inverse is described using the Drazin inverse of the matrix as well as the Moore-Penrose inverse.Applying the Core-EP decomposition of matrix,a block matrix expres-sion of the dual Core-EP is given.Inspired by the EP matrix,the necessary and sufficient conditions are obtained that the matrix is a k-degree dual Core-EP matrix and conclusion is given that some matrices are k-degree dual Core-EP matrix.
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