曲靖师范学院学报
麯靖師範學院學報
곡정사범학원학보
JOURNAL OF QUJING NORMAL COLLEGE
2011年
3期
46-50
,共5页
Jacobi迭代法%Gauss-seidel迭代法%谱半径%对角占优阵
Jacobi迭代法%Gauss-seidel迭代法%譜半徑%對角佔優陣
Jacobi질대법%Gauss-seidel질대법%보반경%대각점우진
Gauss-Seidel iteration%Jacobi iteration%Spectral radius%Diagonally dominant matrices
先描述了Jacob i和Gauss-Se idel迭代法求解线性方程组的基本思想,然后给出三个收敛定理并分别对它们作出解释,举例进行分析和比较,最后给出算法,并用程序求解算例,对迭代法的学习和应用有着十分重要的意义.
先描述瞭Jacob i和Gauss-Se idel迭代法求解線性方程組的基本思想,然後給齣三箇收斂定理併分彆對它們作齣解釋,舉例進行分析和比較,最後給齣算法,併用程序求解算例,對迭代法的學習和應用有著十分重要的意義.
선묘술료Jacob i화Gauss-Se idel질대법구해선성방정조적기본사상,연후급출삼개수렴정리병분별대타문작출해석,거례진행분석화비교,최후급출산법,병용정서구해산례,대질대법적학습화응용유착십분중요적의의.
The basic idea of Jacobi and Gauss-Seidel iteration method for solving the ??linear equations is discussed.Then three Convergence theorem are obtained,explained,analyzed and compared with examples and the algorithm is obtained.