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《Chinese Journal of Atmospheric Sciences》 1980-04
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ON THE CONVERGENCE FOR SOLVING A NONLINEAR ELLIPTIC EQUATION WITH ITERATIVE METHOD

Zhou Zheng-zhong (Computational technical institute of Hunan Province)  
The model of energy equation was proposed by professor T. C. Yeh. In this paper, the numerical solution of the energy model is given. Based on the matrix indivisibility and diagonal superiority, the convergence of Jacobi point iterative method, Gauss-Seidel iterative method and the super (lower) relaxation iterative method is strictly proved, and the sufficient condition for determing iterative convergence of the n × n complex-matrix is also given.
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【References】
Chinese Journal Full-text Database 1 Hits
1 Zhou Zhengzhong (Hunan Computing Center);ON THE NONLINEAR INSTABILITY OF A NONLINEAR ADVECTION EQUATION BY 'LEAP-FROG' APPROXIMATION AND A NEW STABLE SCHEME[J];Numerical Mathematics A Journal of Chinese Universities;1983-03
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 XU Xiu-hua,CHENG Xiao-jin (Beijing Institute of Graphic Communication, Beijing 102600,China);Regularization of Generalized Closed-loop System[J];Journal of Beijing Institute of Graphic Communacation;2004-04
2 Xie Xinhui Zhang hui(Basci Courses Department);Rroofs and Application of the Reduce Rank of Eigenpolynomail Theorem[J];Journal of Chongqing College of Electric Power;1998-02
3 Zhou Zhengzhong (Hunan Computing Center);ON THE NONLINEAR INSTABILITY OF A NONLINEAR ADVECTION EQUATION BY 'LEAP-FROG' APPROXIMATION AND A NEW STABLE SCHEME[J];Numerical Mathematics A Journal of Chinese Universities;1983-03
4 YANG Zhi-ming~1,YOU Chuan-hua~2(1.Department of Mathematics,Gansu Association University,Lanzhou Gansu 730000;2.Dept. of Math,Lanzhou University, Lanzhou Gansu 730000,China);On Quasi Diagonally Dominant Matrix with Chain of Non-zero Matrix Elements[J];Journal of Gansu Education College(Natural Science Edition);2003-04
5 MENG Shi-kui(College of Mathematic and Computer Science,Guangxi University for Nationalities,Nanning 530006,China);A Solution to the Matrix Equation AX+XB=F[J];Journal of Guangxi University for Nationalities(Natural Science Edition);2009-01
6 Lu Deyuan(Department of Mathematics, Guizhou Normal University Guiyang 550001);Stability of Solution for the Third Order Nonlinear Differential Equation of Unconstant Motion[J];Journal of Guizhou University(Natural Science);1995-03
7 JIANG Er\|xiong (Department of Mathematies,Shanghai University,Shanghai,200436);Expressing Matrix Function by Divide Difference of Eigenvalues[J];Journal of East China Geological Institute;2003-02
8 GENG Ji(Sience and Engineering College of Hainan University,Haikou 570228,China);Application of Reaction Matrix to Chemical Reaction(Ⅱ)——Balancing Theorem[J];Natural Science Journal of Hainan University;2003-04
9 Zeng Yuesheng (Department of Mathematics);A Class of the Non-degenerate Generalized Q-holomorphic Matrix Value Function[J];;1990-02
10 SHEN Guangxing;A Note on "A Generalization of Diagonal Dominance of Matrices and Its Applications[J];Bulletin of Science and Technology;2003-04
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