Journal
COMPUTATIONAL & APPLIED MATHEMATICS
Volume 35, Issue 1, Pages 17-28Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s40314-014-0169-0
Keywords
Sensitivity analysis; Quadratic eigenvalue problem; Eigenvalue derivatives; Eigenvector derivatives
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Funding
- Defense Basic Research Program of China [J152013xxx]
- National Natural Science Foundation of China [11071118]
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In this paper, we consider computing the derivatives of the semisimple eigenvalues and corresponding eigenvectors of symmetric quadratic eigenvalue problem. In the proposed method, the eigenvector derivatives of the symmetric quadratic eigenvalue problem are divided into a particular solution and a homogeneous solution; a simplified method is given to calculate the particular solution by solving a linear system with nonsingular coefficient matrix, the method is numerically stable and efficient. Two numerical examples are included to illustrate the validity of the proposed method.
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