On condition numbers of a nondefective multiple eigenvalue of a nonsymmetric matrix pencil |
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| Authors: | Huiqing Xie Hua Dai |
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| Institution: | 1. Department of Mathematics, East China University of Science and Technology, Shanghai 200237, China;2. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China |
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| Abstract: | This paper considers the condition numbers of a nondefective multiple eigenvalue of a nonsymmetric matrix pencil. Based on the directional derivatives of a nondefective multiple eigenvalue of a nonsymmetric matrix pencil analytically dependent on several parameters, different condition numbers of a nondefective multiple eigenvalue are introduced. The computable expressions and bounds of introduced condition numbers are derived. Moreover, some results on the perturbation of a nondefective multiple eigenvalue of a nonsymmetric matrix pencil are given. |
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