지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
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For Ax=b, it has recently been reported that the convergence of the preconditioned Gauss-Seidel iterative method which uses a matrix of the type P=I+S(α) to perform certain elementary row operations on is faster than the basic Gauss-Seidel method. In this paper, we discuss the adaptive Gauss-Seidel iterative method which uses P=I+S(α) +[기호](β) as a preconditioner. We present some comparison theorems, which show the rate of convergence of the new method is faster than the basic method and the method in [7] theoretically.
Numerical examples show the effectiveness of our algorithm.
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참고문헌 (9)
참고문헌 신청
A. Berman / 1994 / Nonnegative Matrices in the Mathematical Sciences / Society for Industrial and Applied Mathematics (SIAM)
A. D. Gunawardena / 1991 / Modified iterative methods for consistent linear systems / Linear Algebra Appl 154 : 123 ~ 143
A. Hadjidimos / 2003 / More on modifications and improvements of classical iterative schemes for M-matrices / Linear Algebra Appl 364 : 253 ~ 279
H. Kotakemori / 1996 / Accelerated iterative method for Z-matrices / J. Comput. Appl. Math 75 (1) : 87 ~ 97
J. Hu / 1997 / The iterative methods of the linear equations / Science Press : 63 ~ 64
A. D. Gunawardena / 1991 / Modified iterative methods for consistent linear systems / Linear Algebra Appl 154 : 123 ~ 143
A. Hadjidimos / 2003 / More on modifications and improvements of classical iterative schemes for M-matrices / Linear Algebra Appl 364 : 253 ~ 279
H. Kotakemori / 1996 / Accelerated iterative method for Z-matrices / J. Comput. Appl. Math 75 (1) : 87 ~ 97
J. Hu / 1997 / The iterative methods of the linear equations / Science Press : 63 ~ 64
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