On Structured Variants of Modified HSS Iteration Methods for Complex Toeplitz Linear Systems
نویسندگان
چکیده
منابع مشابه
Regularized HSS iteration methods for saddle-point linear systems
We propose a class of regularized Hermitian and skew-Hermitian splitting methods for the solution of large, sparse linear systems in saddle-point form. These methods can be used as stationary iterative solvers or as preconditioners for Krylov subspacemethods.We establish unconditional convergence of the stationary iterations and we examine the spectral properties of the corresponding preconditi...
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In this paper, a modified Hermitian and skew-Hermitian splitting (MHSS) iteration method for solving the complex linear matrix equation AXB = C has been presented. As the theoretical analysis shows, the MHSS iteration method will converge under certain conditions. Each iteration in this method requires the solution of four linear matrix equations with real symmetric positive definite coefficien...
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متن کاملRegularized HSS Iteration Method for Saddle - Point Linear Systems
We propose a class of regularized Hermitian and skew-Hermitian splitting methods for the solution of large, sparse linear systems in saddle-point form. These methods can be used as stationary iterative solvers or as preconditioners for Krylov subspace methods. We establish unconditional convergence of the stationary iterations and we examine the spectral properties of the corresponding precondi...
متن کاملErratum to: "On the HSS iteration methods for positive definite Toeplitz linear systems" [J. Comput. Appl. Math. 224(2009) 709-718]
In [1], Gu and Tian [Chuanqing Gu, Zhaolu Tian, On the HSS iteration methods for positive definite Toeplitz linear systems, J. Comput. Appl. Math. 224 (2009) 709–718] proposed the special HSS iteration methods for positive definite linear systems Ax = b with A ∈ Cn×n a complex Toeplitz matrix. But we find that the special HSS iteration methods are incorrect. Some examples are given in our paper.
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ژورنال
عنوان ژورنال: Journal of Computational Mathematics
سال: 2013
ISSN: 0254-9409,1991-7139
DOI: 10.4208/jcm.1208-m4022