A generalized shift-splitting preconditioner for complex symmetric linear systems

On the generalized shift-splitting preconditioner for saddle point problems

In this paper, the generalized shift-splitting preconditioner is implemented for saddle point problems with symmetric positive definite (1,1)-block and symmetric positive semidefinite (2,2)-block. The proposed preconditioner is extracted form a stationary iterative method which is unconditionally convergent. Moreover, a relaxed version of the proposed preconditioner is presented and some proper...

A Parameterized Splitting Preconditioner for Generalized Saddle Point Problems

By using Sherman-Morrison-Woodbury formula, we introduce a preconditioner based on parameterized splitting idea for generalized saddle point problems which may be singular and nonsymmetric. By analyzing the eigenvalues of the preconditioned matrix, we find that when α is big enough, it has an eigenvalue at 1 with multiplicity at least n, and the remaining eigenvalues are all located in a unit c...

Complex fuzzy linear systems

LI-YORKE CHAOTIC GENERALIZED SHIFT DYNAMICAL SYSTEMS

‎In this text we prove that in generalized shift dynamical system $(X^Gamma,sigma_varphi)$‎ ‎for finite discrete $X$ with at least two elements‎, ‎infinite countable set $Gamma$ and‎ ‎arbitrary map $varphi:GammatoGamma$‎, ‎the following statements are equivalent‎: ‎ - the dynamical system $(X^Gamma,sigma_varphi)$ is‎ Li-Yorke chaotic;‎ - the dynamical system $(X^Gamma,sigma_varphi)$ has‎ an scr...

Spectral Properties by Using Splitting Correction Preconditioner for Linear Systems that Arise from Periodic Boundary Problems

Shoji Itoh 1 , Shao-Liang Zhang , Yoshio Oyanagi 3 and Makoto Natori 4 1 Doctral Program in Engineering on Information Sciences and Electronics, University of Tsukuba, Tsukuba, Ibaraki, Japan E-mail: [email protected] 2 Department of Applied Physics, University of Tokyo, Bunkyo, Tokyo, Japan E-mail: [email protected] 3 Department of Information Science, University of Tokyo, ...