线性代数方程组通解行处理法  

Row Action Method for General Solution of System of Linear Algebraic Equations

作　　者：杨本立[1] 徐永红[1] 

机构地区：[1]中国工程物理研究院工学院,四川绵阳621900

出　　处：《四川大学学报（自然科学版）》2006年第3期479-483,共5页Journal of Sichuan University(Natural Science Edition)

基　　金：中国工程物理研究院科学技术基金(20020656)

摘　　要：利用Gram-Schmidt正交规范化方法给出了一种判断任意线性代数方程组相容性以及确定此方程组解结构的数值方法,分析了对应算法的计算复杂度、数值稳定性及内在并行性.The authors Utilize Gram-Schmidt＇s orthogonalization to put forward a parallel method of judging the consistency of arbitrary system of linear algebraic equations and determinging the general solution of arbitrary consistent system of linear algebraic equations, analyze its computational complexity, numerical stability, and its intrinsic parallism.

关 键 词：线性代数方程组 解结构 正交规范化 内在并行性 

分 类 号：O241.6[理学—计算数学] O246[理学—数学]