CAJ | 학술논문

为了解决有理插值函数的存在性和降低有理插值函数的次数,利用拉格朗日插值基函数的方法和多项式插值的误差公式,给出了一种有理插值函数并将其推广到向量值情形。相比于其他方法,其构造过程公式法,有理插值函数次数较低,且计算量较小,便于实际应用。
위료해결유리삽치함수적존재성화강저유리삽치함수적차수,이용랍격랑일삽치기함수적방법화다항식삽치적오차공식,급출료일충유리삽치함수병장기추엄도향량치정형。상비우기타방법,기구조과정공식법,유리삽치함수차수교저,차계산량교소,편우실제응용。
In order to solve the existence of rational interpolation function and reduce the degree of rational interpolation function,we present a new rational interpolation method and extend it to vector-valued case,by use of the method of Lagrange interpolation basis function and error of polynomial interpolation.Compared with other methods,the course of constructing function is formulary,the degree of rational function is lower,and the algorithm needs less computation and facilitates the practical application.