CAJ | 학술논문

　　熟知的矩阵切触有理插值的方法都与连分式有关，不仅计算繁琐，而且难以避免出现“极点、不可达点”。用网格点构造有理插值基函数，用型值点构造具有承袭性的各阶矩阵插值算子，通过插值基函数与插值算子作线性运算，构造出二元矩阵各阶切触有理插值函数，有效避免了有理插值的“极点、不可达点”问题。若选择适当的参数，还可以任意降低插值函数的次数，数值例子表明了该方法简单、有效、实用性强。
　　숙지적구진절촉유리삽치적방법도여련분식유관，불부계산번쇄，이차난이피면출현“겁점、불가체점”。용망격점구조유리삽치기함수，용형치점구조구유승습성적각계구진삽치산자，통과삽치기함수여삽치산자작선성운산，구조출이원구진각계절촉유리삽치함수，유효피면료유리삽치적“겁점、불가체점”문제。약선택괄당적삼수，환가이임의강저삽치함수적차수，수치례자표명료해방법간단、유효、실용성강。
The well-known algorithms of the matrix osculatory rational interpolations are all related to continued fractions, con-tinued fraction method not only needs a high computation but also is difficult to avoid"poles and inaccessible points". In this paper, the grid points are applied to construct the rational interpolation base functions, the type value points are applied to construct each order matrix interpolation operators of inheritedness, by interpolation basis functions and interpolation operators do linearity operation, bivariate matrix each order osculatory rational interpolation functions are produced to effectively avoid"poles and inac-cessible points"problem of rational interpolation. If the appropriate parameters are selected, it can reduce degree of the interpola-tion functions arbitrarily, a numerical example shows the method is simple and effective practical.