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ALTERNATELY LINEARIZED IMPLICIT ITERATION METHODS FOR SOLVING QUADRATIC MATRIX EQUATIONS

ALTERNATELY LINEARIZED IMPLICIT ITERATION METHODS FOR SOLVING QUADRATIC MATRIX EQUATIONS
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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.
作者 Bing Gui Hao Liu Minli Yan
机构地区 School of Science College of Science
出处 《Journal of Computational Mathematics》 SCIE CSCD 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.
关键词 Quadratic matrix equation Alternately iteration M-MATRIX Matrix transformation. Quadratic matrix equation, Alternately iteration, M-matrix, Matrix transformation.
分类号 O177.6 [理学—基础数学] O151.21 [理学—基础数学]
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Journal of Computational Mathematics
2014年 第3期

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