Convergence Domains of the SSOR Iterative Method for Generalized Consistently ordered Matrices
نویسندگان
چکیده
منابع مشابه
On The Exact P-Cyclic SSOR Convergence Domains
Suppose that A E (]J',n is a block p-cyclic consistently ordered matrix and let Band Sw denote , respectively, the black Jacobi and the block Symmetric Successive Overrelaxation (SSOR) iteration matrices associated with A. Neumaier a.nd Varga found (in the (p(IBI),w)-plane) the exact convergence and divergence domains of the SSOR method for the class of H-matrice8. Hadjidimos and Neumann applie...
متن کاملOn a Matrix Identity Connecting Iteration Operators Associated with a p-Cyclic Matrix
The successive overrelaxation (SOR) and the symmetric SOR (SSOR) iteration matrices are connected with the Jacobi iteration matrix in case these operators are associated with a (9, p 9)-generalized consistently ordered matrix through certain matrix identities. The validity of these identities has been proved in the last couple of years. Very recently an analogous matrix identity was shown to ho...
متن کاملOn SSOR-like preconditioners for non-Hermitian positive definite matrices
We construct, analyze and implement SSOR-like preconditioners for non-Hermitian positive definite system of linear equations when its coefficient matrix possesses either a dominant Hermitian part or a dominant skew-Hermitian part. We derive tight bounds for eigenvalues of the preconditioned matrices and obtain convergence rates of the corresponding SSOR-like iteration methods as well as the cor...
متن کاملOn an SSOR Matari Relationship and its Consequences
A matrix relationship connecting the Jacobi and the SSOR matrices associated with a k·cyclic consistently ordered matrix A is presented.. Next the equivalence of the SSOR method and a certain monoparametric k-srep one for the solution of the linear algebraic system Ax::;: b is established. The aforementioned. equivalence can be exploited to derive regions of convergence. optimum parameters invo...
متن کاملPreconditioned SSOR Iterative Method For Linear System With M-Matrices
A preconditioned SSOR iterative method with a multi-parameters preconditioner I + S̃α is proposed. Some convergence and comparison results for αi ∈ [0, 1] are given when the coefficient matrix of linear system A is a nonsingular M−matrix. Numerical example shows that our methods are superior to the basic SSOR iterative method.
متن کامل