用改进的 Newton 法求解非线性奇异问题
용개진적 Newton 법구해비선성기이문제
The Modified Newton Method for Solving Nonlinear Singular Problems
  • 万方数据
    湖南师范大学自然科学学报 호남사범대학자연과학학보
    ACTA SCIENTIARUM NATURALIUM UNIVERSITATIS NORMALIS HUNANENSIS
    2014年 5期 81-84 ,共4页

    初元红%孙贵玲

    초원홍%손귀령

    Hilbert空间%改进的Newton法%奇异问题 Hilbert空間%改進的Newton法%奇異問題
    Hilbert공간%개진적Newton법%기이문제
    Hilbert space%modified Newton method%singular problems
    在Hilbert空间，将外推技巧和Newton法相结合，得到新的迭代格式．用其求解奇异问题，使改进的Newton法收敛速率由0．5提高到0．3333．此结论对一般的Banach空间同样适用．
    재Hilbert공간，장외추기교화Newton법상결합，득도신적질대격식．용기구해기이문제，사개진적Newton법수렴속솔유0．5제고도0．3333．차결론대일반적Banach공간동양괄용．
    In Hilbert space, the singular problems are solved by using the combination of modified Newton method and the extrapolation technique.The modified Newton method is shown to yield a new sequence that im-proves the convergence rate from 0.5 to 0.333 3.The conclusion is also applied to a Banach space.
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