%0 Journal Article
%T A Systolic Algorithm for Matrix Equation AX+XB=C
利用并行方法解AX+XB=C型线性矩阵方程
%A Mu Dejun
%A Dai Guanzhong
%A
慕德俊
%A 戴冠中
%J 自动化学报
%D 1996
%I
%X In this paper, an iterative algorithm is proposed to solve the matrix equation AX + XB = C based on QR decomposition and Gaussian elimination algorithm. The recursive algorithm can be implemented by a multiphase systolic architecture readily.Details on these multiphase operations of the algorithm are discussed in this paper.Similar matrix equations AXM+LXB = C and AXM+X = C are analysized simply. Simulation results show that the algorithms have a high speed up.
%K Matrix equation
%K systolic array
%K systolic algorithm
矩阵方程
%K 并行算法
%K 线性矩阵方程
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=E76622685B64B2AA896A7F777B64EB3A&aid=AF9A7369162540054E12950264197F13&yid=8A15F8B0AA0E5323&vid=BC12EA701C895178&iid=0B39A22176CE99FB&sid=B1F98368A47B8888&eid=3A0155B37D8FF829&journal_id=0254-4156&journal_name=自动化学报&referenced_num=2&reference_num=1