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

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

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...

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Veröffentlicht in:Advances in mathematical physics 2019-01, Vol.2019 (2019), p.1-14
Hauptverfasser: Qin, Yonghui, Liu, Xiaoji, Xie, Zhenshu
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Decomposition
Mathematical functions
Perturbation methods
Upper bounds
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Zusammenfassung: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.
ISSN:1687-9120
1687-9139
DOI:10.1155/2019/8136215