کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
473479 | 698792 | 2008 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Discrete mathematical models in the analysis of splitting iterative methods for linear systems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
Splitting methods are used to solve most of the linear systems, Ax=bAx=b, when the conventional method of Gauss is not efficient. These methods use the factorization of the square matrix AA into two matrices MM and NN as A=M−NA=M−N where MM is nonsingular. Basic iterative methods such as Jacobi or Gauss–Seidel define the iterative scheme for matrices that have no zeros along its main diagonal.This paper is concerned with the development of an iterative method to approximate solutions when the coefficient matrix AA has some zero diagonal entries. The algorithm developed in this paper involves the analysis of a discrete-time descriptor system given by the equation Me(k+1)=Ne(k)Me(k+1)=Ne(k), e(k)e(k) being the error vector.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 56, Issue 3, August 2008, Pages 727–732
Journal: Computers & Mathematics with Applications - Volume 56, Issue 3, August 2008, Pages 727–732
نویسندگان
Begoña Cantó, Carmen Coll, Elena Sánchez,