Condition numbers related to the core inverse of a complex matrix

Dijana Mosić · Filomat · 2022

Under one-sided conditions, we establish explicit expressions for the condition numbers of the core inverse and the core inverse solution of a linear system, using Hartwig and Spindelb?ck?s decomposition, the spectral norm and the Frobenius norm. We also present the structured perturbation of the core inverse.

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