淡江大學機構典藏:Item 987654321/109360
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/109360


    Title: SECOND DEGREE GENERALIZED JACOBI ITERATION METHOD FOR SOLVING SYSTEM OF LINEAR EQUATIONS
    Authors: Enyew, Tesfaye Kebede
    Keywords: First degree Jacobi(FDJ);First degree Generalized Jacobi(FDGJ);Second degree Jacobi(SDJ);Second degree Generalized Jacobi(SDGJ)
    Date: 2016-06
    Issue Date: 2017-01-17 09:56:15 (UTC+8)
    Publisher: 淡江大學出版中心
    Abstract: In this paper, a Second degree generalized Jacobi Iteration method for solving system of linear equations, Ax=bAx=b and discuss about the optimal values a1a1 and b1b1 in terms of spectral radius about for the convergence of SDGJ method of x(n+1)=b1[D−1m(Lm+Um)x(n)+k1m]−a1x(n−1).x(n+1)=b1[Dm−1(Lm+Um)x(n)+k1m]−a1x(n−1). Few numerical examples are considered to show that the effective of the Second degree Generalized Jacobi Iteration method (SDGJ) in comparison with FDJ, FDGJ, SDJ.
    Relation: Tamkang Journal of Mathematics 47(2), pp.179-192
    DOI: 10.5556/j.tkjm.47.2016.1826
    Appears in Collections:[Tamkang Journal of Mathematics] v.47 n.2

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