求解半正定病态积分方程的多尺度快速Lavrentiev迭代算法
구해반정정병태적분방정적다척도쾌속Lavrentiev질대산법
A Fast Lavrentiev Iterative Methods for Solving the Semi-definite Ill-posed Integral Equation Based on the Truncated Projection Method
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    赣南师范学院学报 공남사범학원학보
    JOURNAL OF GANNAN TEACHERS COLLEGE
    2012年 6期 1-5 ,共5页

    罗兴钧%谢长发娣%陈维君%李繁春

    라흥균%사장발제%진유군%리번춘

    病态积分方程%迭代Lavrentiev正则化%截断投影方法%后验参数选择办法 病態積分方程%迭代Lavrentiev正則化%截斷投影方法%後驗參數選擇辦法
    병태적분방정%질대Lavrentiev정칙화%절단투영방법%후험삼수선택판법
    ill-posed integral equations%iterated lavrentiev regularization%trun cated projection methods%a posteriori parameter choice strategy
    基于多尺度投影方法,构造了求解半正定病态积分方程的截断快速Lavrentiev迭代算法,并给出了新的后验参数选择办法.与传统全投影方法相比,减少了内积计算个数,保持了最优收敛率.最后,算例验证了算法的有效性.
    기우다척도투영방법,구조료구해반정정병태적분방정적절단쾌속Lavrentiev질대산법,병급출료신적후험삼수선택판법.여전통전투영방법상비,감소료내적계산개수,보지료최우수렴솔.최후,산례험증료산법적유효성.
    In this paper,a fast iterative Lavrentiev method is established for so lving the semi-definite ill-posed integral equation based on the optimization of projection method,and a posteriori parameter choice strategy of improvement is proposed.Compared with the traditional projection technique,we keep the optima l convergence rate,but less than the number of inner products caculation.Finall y,numerical experiments are given to illustrate the efficiency of the method.
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