An improved method for general perturbation eigenvalue problems
Sun Hui · Journal of Jinan University · 2005
An improved perturbation method for general eigenvalue problems is presented. The proposed method is universally applicable to all the three cases of eigenvalue problems: distinct, repeated and nearly equal eigenvalues. The improvement is made to the orthogonal and normality condition and the solving condition of the eigenvector coefficient matrix adopted in the existing methods. Illustrative examples are given to demonstrate the precision of the improved technique.