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- W2912703346 abstract "A new iterative method is proposed to compute the first-order and high-order derivatives of several eigenpairs of a quadratic eigenvalue problem (QEP). The derivatives of simple and semi-simple eigenpairs are simultaneously computed. The proposed method avoids to solve many different linear systems with the size of the QEP. Only the eigenpairs to be differentiated are required in our method. Convergence properties of the proposed iterative method are established. In order to accelerate the proposed iterative method, vector epsilon algorithm is applied and then an acceleration algorithm for our iterative method is presented and analyzed. Numerical experiments show that the proposed method is efficient for the computation of the first-order and high-order derivatives of eigenpairs of a QEP, especially for several eigenpair derivatives in moderate and large QEP." @default.
- W2912703346 created "2019-02-21" @default.
- W2912703346 creator A5032130153 @default.
- W2912703346 date "2019-08-01" @default.
- W2912703346 modified "2023-10-09" @default.
- W2912703346 title "An iterative method for simultaneously computing the derivatives of simple and multiple eigenpairs of a quadratic eigenvalue problem" @default.
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- W2912703346 doi "https://doi.org/10.1016/j.cam.2019.01.017" @default.
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