Year: 2014
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1401-CR9
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 3 : pp. 306–311
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 6
Keywords: Quadratic matrix equation Alternately iteration $M$-matrix Matrix transformation.