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Volume 8 Issue 5
Sep.  1986
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Liu Xiaoming, Hu Jiandong. A UNIFIED APPROACH FOR SOL VING LINE AR EQUATIONSTWO-DIMENSIONAL ITERATIVE METHOD[J]. Journal of Electronics & Information Technology, 1986, 8(5): 328-334.
Citation: Liu Xiaoming, Hu Jiandong. A UNIFIED APPROACH FOR SOL VING LINE AR EQUATIONSTWO-DIMENSIONAL ITERATIVE METHOD[J]. Journal of Electronics & Information Technology, 1986, 8(5): 328-334.

A UNIFIED APPROACH FOR SOL VING LINE AR EQUATIONSTWO-DIMENSIONAL ITERATIVE METHOD

  • Received Date: 1984-11-10
  • Rev Recd Date: 1985-02-25
  • Publish Date: 1986-09-19
  • In this paper, a unified approach of iterative methods, such as Jacobi method, Gauss-Seidel method, SOR method, etc., for solving linear equations is discussed and studied. For the reason stated in this paper, this approach is called 2-dimensional iterative method. The convergence and the rate of convergence of iteration process are improved by using this new approach. The theoretical analysis and the computing results demonstrate that this approach has many advantages over the generally used iterative methods. it is useful in solving the large scale electric circuits, such as VLSI.
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  • Д.К. 法捷耶夫,B.H.法捷耶娃著,刘克武等译,线性代数计算方法,上海科技出版社,1965年,第231-291页.[2]I. S. Duff, Proc. IEEE, 65(1977), 500-35.[3]G. D. Hachtel, A. L. Sangiovanni-Vincentilli, ibid., 69(1981), 1264-80.[4]S. L. Richter and R. A. Decarlo, IEEE Trans. on CAS, CAS-30(1983), 347-52.[5]谷获隆嗣,通信学会论文志,J65A(1982), 802.[6]张学铭等,微分方程稳定性理论讲义,山东人民出版社,1958年,第54-113页.[7]韩天敏,应用数学学报,1977年,第3期,第28页.[8]L. W. Nagel, Spice-II, A Computer Program to Simulate Semiconductor Circuits, Memorandum No. ERL, M 520, College of Engineering, University of Calfornia Berkeley, 1975.
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