中国科学A辑(英文版)
中國科學A輯(英文版)
중국과학A집(영문판)
SCIENCE IN CHINA
2003年
1期
83-90
,共8页
邹红星%王殿军%戴琼海%李衍达
鄒紅星%王殿軍%戴瓊海%李衍達
추홍성%왕전군%대경해%리연체
QR factorization%row or column symmetric matrix%fast computation
The problem of fast computing the QR factorization of row or column symmetric matrix isconsidered. We address two new algorithms based on a correspondence of Q and R matrices between the rowor column symmetric matrix and its mother matrix. Theoretical analysis and numerical evidence show that, fora class of row or column symmetric matrices, the QR factorization using the mother matrix rather than therow or column symmetric matrix per se can save dramatically the CPU time and memory without loss of anynumerical precision.
