吉林大学学报(理学版)
吉林大學學報(理學版)
길림대학학보(이학판)
JOURNAL OF JILIN UNIVERSITY(SCIENCE EDITION)
2014年
6期
1162-1166
,共5页
超定非线性系统%可信误差界%奇异解
超定非線性繫統%可信誤差界%奇異解
초정비선성계통%가신오차계%기이해
overdetermined nonlinear system%verified error bound%singular solution
利用边界矩阵和区间算法理论,讨论超定系统奇异解的数值解法及其可信验证。提出一种新算法,该算法输出一个近似解及其相应的误差界,使得在近似解的误差界范围内必存在一个精确解。
利用邊界矩陣和區間算法理論,討論超定繫統奇異解的數值解法及其可信驗證。提齣一種新算法,該算法輸齣一箇近似解及其相應的誤差界,使得在近似解的誤差界範圍內必存在一箇精確解。
이용변계구진화구간산법이론,토론초정계통기이해적수치해법급기가신험증。제출일충신산법,해산법수출일개근사해급기상응적오차계,사득재근사해적오차계범위내필존재일개정학해。
We studied the numerical method and verification for singular points of overdetermined nonlinear equations.And we proposed an algorithm on the basis of the bordered system and interval theory.It outputs an approximate solution and its error bound so as to make an exact solution exist within this computed bounds.