【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.更多还原

【Abstract】 Marchenko equation is a kind of important and special integral equation insome inverse problems.Discreted by trapezium formula or parabola formula,it can be formed into a special algebra equations,In this paper,the inversionalgorithm solving Marchenko equation is related and proved.Compared withthe Guass reduction,its numerical precision increases and its computationaland storage capacity decrease.更多还原