@Article{JCM-32-306, author = {Bing Gui, Hao Liu and Minli Yan}, title = {Alternately Linearized Implicit Iteration Methods for Solving Quadratic Matrix Equations}, journal = {Journal of Computational Mathematics}, year = {2014}, volume = {32}, number = {3}, pages = {306--311}, abstract = {
A numerical solution of the quadratic matrix equations associated with a nonsingular $M$-matrix by using the alternately linearized implicit iteration method is considered. An iteration method for computing a nonsingular $M$-matrix solution of the quadratic matrix equations is developed, and its corresponding theory is given. Some numerical examples are provided to show the efficiency of the new method.
}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1401-CR9}, url = {http://global-sci.org/intro/article_detail/jcm/9888.html} }