A Preconditioned Iteration Method for Solving Sylvester Equations. (15th July 2012)

• Record Type: Journal Article
• Authors: Zhou, Jituan; Wang, Ruirui; Niu, Qiang
• Other Names: Yang Jianke Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2012(2012)
• Publication Date: 2012-07-15
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2012/401059
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : A preconditioned gradient-based iterative method is derived by judicious selection of two auxil- iary matrices. The strategy is based on the Newton's iteration method and can be regarded as a generalization of the splitting iterative method for system of linear equations. We analyze the convergence of the method and illustrate that the approach is able to considerably accelerate the convergence of the gradient-based iterative method.