Sensitivities of eigenvalues and eigenvectors of problems nonlinear in the eigenparameter

AbstractThe eigenvalue problem L(p,λ)x=0 is considered, where the matrix L depends analytically on the eigenvalue λ and a vector parameter p. Some results on the existence and the numerical computation of partial derivatives of eigenvalues λ and eigenvectors x with respect to the components of p are announced and discussed. Proofs will appear elsewhere