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Perturbation Bounds for the Group Inverse and its Oblique Projection

Author

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  • Ma, Haifeng
  • Mosić, Dijana
  • Stanimirović, Predrag S.

Abstract

This paper investigates the refined perturbation formulae and perturbation bounds for the group inverse and its oblique projection by the Schur decomposition. In addition, relative perturbation formulae and bounds of some rational expressions that involve group inverses of initial and perturbed matrix are considered. The obtained perturbation limit is sharper than the existing ones derived using the Jordan canonical form.

Suggested Citation

  • Ma, Haifeng & Mosić, Dijana & Stanimirović, Predrag S., 2023. "Perturbation Bounds for the Group Inverse and its Oblique Projection," Applied Mathematics and Computation, Elsevier, vol. 449(C).
    • Handle: RePEc:eee:apmaco:v:449:y:2023:i:c:s0096300323001327
    DOI: 10.1016/j.amc.2023.127963
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    References listed on IDEAS

    as
    1. Yimin Wei & Hebing Wu, 2001. "Challenging Problems on the Perturbation of Drazin Inverse," Annals of Operations Research, Springer, vol. 103(1), pages 371-378, March.
    2. Ma, Haifeng, 2018. "Optimal perturbation bounds for the core inverse," Applied Mathematics and Computation, Elsevier, vol. 336(C), pages 176-181.
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