Alan Andrew, F. R. de Hoog, Roger C. E. Tan
Abstract
A gap is closed in a previously published proof of a result concerning direct computation of derivatives of eigenvalues and eigenvectors of parameter-dependent matrices. The result is strengthened and the problem discussed.
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A gap is closed in a previously published proof of a result concerning direct computation of derivatives of eigenvalues and eigenvectors of parameter-dependent matrices. The result is strengthened and the problem discussed.
Key concepts: Eigenvalues and eigenvectors, Eigenvalues and eigenvectors of the second derivative, Mathematics, Computation, Eigenvalue perturbation, Defective matrix, Modal matrix, Matrix differential equation