Alternating stationary iterative methods based on double splittings
نویسندگان
چکیده
منابع مشابه
Existence and Uniqueness of Splittings for Stationary Iterative Methods with Applications to Alternating Methods
Given a nonsingular matrix A, and a nonnegative matrix T , under certain very mild conditions, there is a unique splitting A = B C, such that T = B 1 C. Moreover, all properties of the splitting are derived directly from the iteration matrix T . These results do not hold when the matrix A is singular. It is shown that given a nonnegative matrix T and a splitting A = B C such that T = B 1 C, the...
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In the last decades, the study of convergence conditions for the iterative methods based on splittings to solve de linear system Ax = b, has arisen in the works of many authors. We can consider that there are two principal kind of matrices: the nonnegative matrices, studied by authors as Varga [7], Berman and Plemmons [1], Marek and Szyld [5] and more recently by Climent and Perea [3], and the ...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2021
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2021.02.015