Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Intelligent Computer and Applications》 2019-04
Add to Favorite Get Latest Update

A fast algorithm of solving large-scale over-determined linear equations based on PCA and the application

SONG Congwei;ZHANG Xiaoming;College of Science,Zhijiang College of Zhejiang University of Technology;Shaoxing Digital Spinning Technology Co.,Ltd.;  
The paper achieves Least-squares solution large-scale over-determined linear equations AX = B via the dimensional reduction technology of Principal Component Analysis(PCA). Solving the large equations in industry consumes massive time and memory,that is not economical. Moreover,the coeffecient matrix is usually ill,which could cause innegligible error. An algorithm is designed based on PCA,and its feasibility in theory is validated. The experiments showthat the method proposed in the paper is effective. On one hand,the test error is extremely small and close to the error of the original equation. On the other hand,the calculation time is significantly reduced.
【Fund】: 浙江省自然科学基金(LQ19F050004)
【CateGory Index】: O241.6
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved