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|Title:||Computation of mixed partial derivatives of eigenvalues and eigenvectors by simultaneous iteration|
|Keywords:||Acceleration of convergence|
Second-order sensitivities of eigenvalues and eigenvectors
|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|
|Appears in Collections:||Staff Publications|
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