现代电子技术
現代電子技術
현대전자기술
MODERN ELECTRONICS TECHNIQUE
2014年
4期
25-27
,共3页
递归程序设计方法%行列式算法%运行效率%线性方程
遞歸程序設計方法%行列式算法%運行效率%線性方程
체귀정서설계방법%행렬식산법%운행효솔%선성방정
recursive programming method%determinant algorithm%operating efficiency%linear equation
为了实现科技和工程技术领域中对有限元线性方程组的快速求解，首先需判断该线性方程组所对应的行列式的值是否为零。若该值不为零，则线性方程组有惟一确定的解；否则，线性方程组的解不惟一。利用行列式的基本性质、代数余子式、定理，采用递归程序设计方法，设计了两种算法，用以求解行列式的值；并从运算精度和运行效率上比较了这两种算法，得出了这两种算法各自的适用环境。
為瞭實現科技和工程技術領域中對有限元線性方程組的快速求解，首先需判斷該線性方程組所對應的行列式的值是否為零。若該值不為零，則線性方程組有惟一確定的解；否則，線性方程組的解不惟一。利用行列式的基本性質、代數餘子式、定理，採用遞歸程序設計方法，設計瞭兩種算法，用以求解行列式的值；併從運算精度和運行效率上比較瞭這兩種算法，得齣瞭這兩種算法各自的適用環境。
위료실현과기화공정기술영역중대유한원선성방정조적쾌속구해，수선수판단해선성방정조소대응적행렬식적치시부위령。약해치불위령，칙선성방정조유유일학정적해；부칙，선성방정조적해불유일。이용행렬식적기본성질、대수여자식、정리，채용체귀정서설계방법，설계료량충산법，용이구해행렬식적치；병종운산정도화운행효솔상비교료저량충산법，득출료저량충산법각자적괄용배경。
In order to quickly solve the value offinite element linear equations in the fields of science,technology and engi-neering,The first step is to judge that the determinant’s value corresponding to the given linear equations is zero or not. If the value is nonzero,linear equations have only one determinate solution. Otherwise,the answer is not determinate. Two algorithms were designed by using determinant's basic nature,algebraic complement,relevant theorem and recursive programming methods to solve the determinant's value. The two algorithms were compared in calculative accuracy and operational efficiency. The appli-cation environment of each algorithm was achieved.
