TY - JOUR
T1 - Alternately Linearized Implicit Iteration Methods for Solving Quadratic Matrix Equations
AU - Bing Gui, Hao Liu & Minli Yan
JO - Journal of Computational Mathematics
VL - 3
SP - 306
EP - 311
PY - 2014
DA - 2014/06
SN - 32
DO - http://doi.org/10.4208/jcm.1401-CR9
UR - https://global-sci.org/intro/article_detail/jcm/9888.html
KW - Quadratic matrix equation, Alternately iteration, $M$-matrix, Matrix transformation.
AB - <p style="text-align: justify;">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.</p>