ALTERNATELY LINEARIZED IMPLICIT ITERATION METHODS FOR SOLVING QUADRATIC MATRIX EQUATIONS  

作　　者：Bing Gui Hao Liu Minli Yan 

机构地区：[1]School of Science, Nanjing Forestry University, Nanjing 210037, China [2]College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

出　　处：《Journal of Computational Mathematics》2014年第3期306-311,共6页计算数学（英文）

基　　金：This work was supported by the National Natural Science Foundation （No.11171337）, P. R. China.

摘　　要：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.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.

关 键 词：Quadratic matrix equation Alternately iteration M-MATRIX Matrix transformation. 

分 类 号：O177.6[理学—数学] O151.21[理学—基础数学]