Abstract
In this paper, some conditions for the nonsingularity and group inverses of linear combinations of generalized and hypergeneralized projectors are established. Moreover, some formulae for the inverses and group inverses of them are derived. The work of this paper extends some previous results.
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Foundation item: Supported by the National Natural Science Foundation of China (11271105), the Key Research Project of Educational Department of Hubei Province (D20122202) and Youth Research Project of Educational Department of Hubei Province (B20122203)
Biography: CHEN Yinlan, female, Master, research direction: algebra.
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Chen, Y., Zuo, K. & Xie, T. On nonsingularity and group inverse of linear combinations of generalized and hypergeneralized projectors. Wuhan Univ. J. Nat. Sci. 19, 469–476 (2014). https://doi.org/10.1007/s11859-014-1041-1
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DOI: https://doi.org/10.1007/s11859-014-1041-1