Newton’s method as a tool for finding the eigenvalues of certain two-parameter (multiparameter) spectral problems
B. M. Podlevskii · Computational Mathematics and Mathematical Physics · 2008
An iterative algorithm is examined for finding the eigenvalues of the two-parameter (multiparameter) algebraic eigenvalue problem. This algorithm uses Newton’s method and an efficient numerical procedure for differentiating determinants. Some numerical examples are given.