条件の悪い連立1次方程式の誤差解析における数値実験

概要

論文の詳細を見る
The numerical analysis of complex phenomena which was very difficult, has now become comparatively easy to solve approximately by the highspeed digital computer. In the structural analysis by the finite element method, it is the most important to solve successfully the linear algebraic equations. In solving the ill-conditioned equation, the numerical solution may often become absurd owing to the finite significance of the computer number set. We clarify the difference between the real number set (which is a field) and the computer number set (which is not a field). And we can estimate the number of significant digits by the conditioning number of the coefficient matrix of the equation and show the numerical experiments of Hilbert matrices and Lotkin matrices which are very ill-conditioned and Pascal matrices. We used UNIVAC-1108 for this purpose.
一般社団法人情報処理学会の論文
1973-02-15