On perturbation bounds of generalized core inverses of matrices (Q6618727)
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scientific article; zbMATH DE number 7926181
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On perturbation bounds of generalized core inverses of matrices |
scientific article; zbMATH DE number 7926181 |
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On perturbation bounds of generalized core inverses of matrices (English)
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15 October 2024
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The authors establish the additive perturbation bounds for the generalized core inverse of a complex matrix. Sufficient conditions for the continuity of the DMP inverse are presented. Recall that the DMP inverse is a generalized core inverse, which is related to the Drazin (D) and Moore-Penrose (MP) inverses. The authors explore an integral formula for the generalized core inverse of a perturbed matrix associated with a semi-stable matrix. They illustrate their findings with numerical examples.
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