摘要
根据块三对角矩阵的特殊分解,给出了求解块三对角方程组的新算法.该算法含有可以选择的参数矩阵,适当选择这些参数矩阵,可以使得计算精度较著名的追赶法高,甚至当追赶法失效时,由该算法仍可得到一定精度的解.
A new algorithm of solving block tridiagonal systems is proposed, which is based on the special factorization of block tridiagonal matrix. The algorithm includes selective parameter-matrices. Proper selected parameter-matrices make new algorithm higher in precision than the famous Thomas algorithm. When the Thomas algorithm invalidate for some numerical examples, the new algorithm can solve.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第3期112-118,共7页
Mathematics in Practice and Theory
基金
陕西省自然科学基金(2004CS110002)
关键词
块三对角矩阵
追赶法
block tridiagonal matrix
Thomas algorithm
