کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4638417 1632003 2015 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The matrix analogue of the scalar AOR iterative method
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
The matrix analogue of the scalar AOR iterative method
چکیده انگلیسی

The Accelerated Overrelaxation (AOR) and the Generalized AOR (GAOR)   iterative methods for the solution of linear systems of algebraic equations (Ax=b,A∈Cn×n,det(A)≠0,b∈CnAx=b,A∈Cn×n,det(A)≠0,b∈Cn) have been around for about four decades and a plethora of variations of them have been proposed. In this work a novel algorithm is introduced, the Matrix Analogue of the AOR (MAAOR) iterative method, which is analysed and studied. The MAAOR method generalizes both the AOR and the GAOR. Sufficient convergence conditions for the GAOR   method are determined when the coefficient matrix AA of the linear system to be solved is a Hermitian matrix with positive diagonal elements. Similarly, sufficient convergence conditions for the MAAOR   method are determined when AA is a nonsingular HH-matrix. The new convergence conditions are the most general ones so far. Numerical examples are presented in support of the theory developed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 288, November 2015, Pages 366–378
نویسندگان
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