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Some results on the Drazin inverse of anti-triangular matrices |
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| Authors: | Changjiang Bu Lizhu Sun Jiang Zhou Yimin Wei |
| Institution: | 1. Department of Applied Mathematics, College of Science, Harbin Engineering University, Harbin, P.R. China.buchangjiang@hrbeu.edu.cn;3. Department of Applied Mathematics, College of Science, Harbin Engineering University, Harbin, P.R. China.;4. School of Mathematical Sciences &5. Shanghai Key Laboratory of Contemporary Applied Mathematics, Fudan University, Shanghai, P.R. China. |
| Abstract: | AbstractThe representations for the Drazin inverse of anti-triangular matrices are obtained under some conditions. Applying these representations, we give a necessary condition for a class of block matrices to have signed Drazin inverse. |
| Keywords: | Drazin inverse MP inverse sign pattern signed Drazin inverse |