@article{chen_hartwig_2005, title={The semi-iterative method applied to the hyper-power iteration}, volume={12}, ISSN={["1070-5325"]}, DOI={10.1002/nla.429}, abstractNote={The semi‐iterative method (SIM) is applied to the hyper‐power (HP) iteration, and necessary and sufficient conditions are given for the convergence of the semi‐iterative–hyper‐power (SIM–HP) iteration. The root convergence rate is computed for both the HP and SIM–HP methods, and the quotient convergence rate is given for the HP iteration. Copyright © 2005 John Wiley & Sons, Ltd.}, number={9}, journal={NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS}, author={Chen, XZ and Hartwig, RE}, year={2005}, month={Nov}, pages={895–910} } @article{chen_hartwig_1997, title={On the convergence of power scaled Cesaro sums}, volume={267}, ISSN={["0024-3795"]}, DOI={10.1016/S0024-3795(97)80056-0}, abstractNote={Power scaling is combined with Cesáro summation, and necessary and sufficient local conditions are given for the resulting matrix sequence JN(T) to converge. It is shown that this convergence is closely related to path conditions on the one hand as well as suitable bilinear consistency conditions on the other hand.}, journal={LINEAR ALGEBRA AND ITS APPLICATIONS}, author={Chen, XZ and Hartwig, RE}, year={1997}, month={Dec}, pages={335–358} }