基于拓展的AVL理论的行列式列主元快速求解  

The Analyzing About Fast Solving Determinant-Based on the Extended AVL Theory

作　　者：陈金萍[1] 

机构地区：[1]石家庄经济学院数理学院,石家庄050031

出　　处：《科技通报》2013年第8期19-21,共3页Bulletin of Science and Technology

摘　　要：为了解决大型行列式计算中速度较慢的问题,采用多学科相结合的方法,对经典的列主元消去法进行探讨。通过将AVL理论进行拓展,将其应用到行列式计算中。在行列式列主元求解中,应用拓展的AVL理论,全面制定了行列式求解步骤和过程。与此同时,通过复杂度分析对基于拓展的AVL理论的行列式快速求解方法进行了定量分析,从而确定了改进方法的先进性、科学性和稳定性,为全面降低大型、超大型行列式运算复杂度提出了切实可行的明确的改善方法。In order to solve large-scale, large-scale computing. The problem of low speed, using computer algorithms, al- gebra and other scientific methods combined, the classic main element elimination method are discussed. The AVL theo- ry development, which will be applied to computing. In the determinant of PCA solving, application of AVL theory, de- veloped a comprehensive determinant solution procedure and process. At the same time, through algorithm complexity analysis based on extended AVL theory of fast calculation method of quantitative analysis, thus determining the improve- ment method is advanced, scientific sex and stability, to reduce overall large, super large determinant computation com- plexity presents practical clear improvement method.

关 键 词：行列式 AVL 拓展 快速 解 

分 类 号：O151.22[理学—数学]