On the spectral properties of an operator pencil
Yu. V. Bychenkov · Computational Mathematics and Mathematical Physics · 2007
For a broad class of iterative algorithms for solving saddle point problems, the study of the convergence and of the optimal properties can be reduced to an analysis of the eigenvalues of operator pencils of a special form. A new approach to analyzing spectral properties of pencils of this kind is proposed that makes it possible to obtain sharp estimates for the convergence rate.