Year: 2005
Author: Z.-Z. Bai, X.-X. Guo, J.-F. Yin
International Journal of Numerical Analysis and Modeling, Vol. 2 (2005), Online First : pp. 114–122
Abstract
By simply transforming the quadratic matrix equation into an equivalent fixed-point equation, we construct a successive approximation method and a Newton's method based on this fixed-point equation. Under suitable conditions, we prove the local convergence of these two methods, as well as the linear convergence speed of the successive approximation method and the quadratic convergence speed of the Newton's method. Numerical results show that these new methods are accurate and effective when they are used to solve the quadratic matrix equation.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-IJNAM-951
International Journal of Numerical Analysis and Modeling, Vol. 2 (2005), Online First : pp. 114–122
Published online: 2005-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9