数值模式匹配法中广义特征值问题A、B阵元素的递推算法  

RECURSIVE ALGORITHM ROR COMPUTATION ELEMENTS OF MATRICES A AND B IN GENERALIZED EIGENVALUE PROBLEM FOR THE NUMERICAL MODEL-MATCHING METHOD

作　　者：汪功礼[1] 

机构地区：[1]石油大学石油资源科学系,山东东营257062

出　　处：《石油大学学报（自然科学版）》1999年第6期91-93,共3页Journal of the University of Petroleum,China(Edition of Natural Science)

摘　　要：对于数值模式匹配法（ＮＭＭ）中广义特征值问题Ａ、Ｂ阵元素的计算问题提出了一种递推算法，将元素每个可能的表达式表示成一个已知函数不同阶次幂积分的求和式。利用该式可以由低到高速推求出该函数不同阶次幂的积分。这种方法计算量小，易于计算程序的实现和维护。The numerical mode-matching method (NMM) is widely used in electrical logging. However, application of high-order basis functions made the computation of elements of A and B matrices of generalized eigenvalue problem involved in the method become redundant. In order to simplify the computation, a recursive algorithm is presented. In the algorithm every every expression of the element is written as a summation of integrals of some functions. The powers of a given function can be calculated recursively by the summation. Compared with other methods, the recursive algorithm has less computation, which makes the development of the corresponding software and program maintenance easy.

关 键 词：广义特征值 递推算法 NMM AB阵元素 电测井 

分 类 号：P631.811[天文地球—地质矿产勘探] P631.84[天文地球—地质学]