Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/103024
Title: Computation of mixed partial derivatives of eigenvalues and eigenvectors by simultaneous iteration
Authors: Andrew, A.L.
Tan, R.C.E. 
Keywords: Acceleration of convergence
Second-order sensitivities of eigenvalues and eigenvectors
Subspace iteration
Issue Date: 1999
Source: Andrew, A.L.,Tan, R.C.E. (1999). Computation of mixed partial derivatives of eigenvalues and eigenvectors by simultaneous iteration. Communications in Numerical Methods in Engineering 15 (9) : 641-649. ScholarBank@NUS Repository.
Abstract: A new simultaneous iteration method is presented for computing mixed second-order partial derivatives of several eigenvalues and the corresponding eigenvectors of a matrix which depends smoothly on some real-valued design parameters. Numerical results illustrate the viability of the method, and show it to be more stable than a previously published iterative method for derivatives of eigenvectors corresponding to subdominant eigenvalues. Copyright ©1999 John Wiley & Sons, Ltd.
Source Title: Communications in Numerical Methods in Engineering
URI: http://scholarbank.nus.edu.sg/handle/10635/103024
ISSN: 10698299
Appears in Collections:Staff Publications

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