[1]ZHI Dong-jie,ZHI Hui-lai.Recursive algorithm and symbolic programming for matrix Doolittle’s factorization[J].CAAI Transactions on Intelligent Systems,2007,2(1):90-93.
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Recursive algorithm and symbolic programming for matrix Doolittle’s factorization

CAAI Transactions on Intelligent Systems[ISSN 1673-4785/CN 23-1538/TP] Volume: 2 Number of periods: 2007 1 Page number: 90-93 Column: 学术论文—人工智能基础 Public date: 2007-02-25
Title:
Recursive algorithm and symbolic programming for matrix Doolittle’s factorization
Author(s):
ZHI Dong-jie1;  ZHI Hui-lai2
1. School of Computer Science & Technology, Henan Polytechnic University, Jiaozu o 454150, China;
2. School of Energy and Environment, Xihua University, Chengdu 610039, China
Keywords:
matrix;  Doolittle’s factorization;  algorithm
CLC:
TP311.1
DOI:
-
Abstract:
Apply Doolittle’s factorization of matrix 〖WTHX〗An×n to matrix
Am×nthat h as m rows and n columns, and conceive a new recursive algorithm of Dooli ttle’s factorization of matrix on the basis of traditional iterative algorithm. In the realization of algorithm, the data is skillfully dealt, so the interim data and the result have the form of fraction. These merits improve the result’s exactness. And above that it conforms to readers’ reading habit comp ared to double or float forms. After running it, the result proves that the algo rithm is reasonably designed and the program is running with high proficiency an d exactness. The program is an augmentation of matrix factorization in the MathS oft’s interactive mathematic language software, which promotes matrix factoriza tion from numerical computation to symbolic computation.
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