Iterative computation of second‐order derivatives of eigenvalues and eigenvectors
Roger C. E. Tan, Alan L Andrew, Felicia M. L. Hong · Communications in Numerical Methods in Engineering · 1994
Abstract An iterative method is introduced for computing second‐order partial derivatives (sensitivities) of eigenvalues and eigenvectors of matrices which depend on a number of real design parameters. Numerical tests confirm the viability of the method and support our theoretical analysis. Alternative methods are reviewed briefly and compared with the one proposed here.