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线性代数方程组正交化行处理法
引用本文:曾宪雯,郝军,祁晓彬,李安志,杨本立.线性代数方程组正交化行处理法[J].四川师范大学学报(自然科学版),1999,22(3):265-268.
作者姓名:曾宪雯  郝军  祁晓彬  李安志  杨本立
作者单位:成都市510信箱,四川,成都,610003
摘    要:给出一种结合正交化方法和行处理法求解n阶非奇异线性代数方程组的计算方法.该方法经n次迭代后必收敛至理论上的精确解,且该方法对求解病态方程组有效

关 键 词:线性代数方程组  正交化  行处理法  病态方程组  算法复杂度
文章编号:1001-8395(1999)03-0265-04
修稿时间::1998-12-0

Row Action Method with Orthogonalization for System of Linear Algebra Equations
ZENG Xian-wen,HAO Jun,QI Xiao-bing,LI An-zhi,YANG Ben-li.Row Action Method with Orthogonalization for System of Linear Algebra Equations[J].Journal of Sichuan Normal University(Natural Science),1999,22(3):265-268.
Authors:ZENG Xian-wen  HAO Jun  QI Xiao-bing  LI An-zhi  YANG Ben-li
Abstract:A algorithm to solve a nonsingular system of the linear algebra equations by the row action method with the orthogonalization is presented in this paper. The algorithm is bound to converge to the accurate solution on theory, when its n th iteration is executed. The algorithm is also effective to solve the morbid system of the linear algebra equations.
Keywords:System of linear algebra equations  Orthogonalization  Row action method  Morbid system of equations  Complexity of algorithm
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