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A splitting iterative method for the discrete dynamic linear systems

✍ Scribed by Wu, Shi-Liang; Li, Cui-Xia

Book ID
121943882
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
432 KB
Volume
267
Category
Article
ISSN
0377-0427

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Splitting methods are used to solve most of the linear systems, Ax = b, when the conventional method of Gauss is not efficient. These methods use the factorization of the square matrix A into two matrices M and N as A = M -N where M is nonsingular. Basic iterative methods such as Jacobi or Gauss-Sei

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In this paper, the mixed-type splitting iterative method is established for solving the linear system Ax = b, where A is a Z-matrix. The iterative method contains an auxiliary matrix L 1 (D 1 ) that is restricted to be nonnegative strictly lower triangular (diagonal) matrix. Comparison theorems show