摘要
Marchenko 积分方程是某些反演问题中出现的一类重要的特殊的积分方程,用梯形或抛物形公式离散化可转化为一类特殊的代数方程组.本文叙述并证明了这类代数方程组的一个递推算法.与通常的高斯消去相比,在计算量和存储量方面均为减少,而在数值精度上有所提高.
Marchenko equation is a kind of important and special integral equation in
some inverse problems.Discreted by trapezium formula or parabola formula,
it can be formed into a special algebra equations,In this paper,the inversion
algorithm solving Marchenko equation is related and proved.Compared with
the Guass reduction,its numerical precision increases and its computational
and storage capacity decrease.
关键词
积分方程
高斯消去法
递推算法
Marchenko equation
the Gauss reduction
the inversion algorithm.
