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Perturbation Bound for the Drazin Inverse of the Matrix‐Value Function

Yonghui Qin, Zhenshu Xie and Xiaoji Liu

Advances in Mathematical Physics, 2019, vol. 2019, issue 1

Abstract: The perturbation analysis of the differential for the Drazin inverse of the matrix‐value function A(t)∈Cn×n is investigated. An upper bound of the Drazin inverse and its differential is also considered. Applications to the perturbation bound for the solution of the matrix‐value function coefficients some matrix equations are given.

Date: 2019
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https://doi.org/10.1155/2019/8136215

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