Explicit Factorization of Pascal Matrices
Received:September 15, 2001  
Key Words: Pascal matrix   Pascal functional matrix   Jordan factorization.  
Fund Project:Supported by Development Program for Outstanding Young Teachers in Lanzhou University of Technology (Q02018)
Author NameAffiliation
YANG Sheng-liang Dept. of Appl. Math.
Lanzhou University of Technology
Gansu
China 
Hits: 2771
Download times: 1318
Abstract:
      In this paper, two kinds of generalized Pascal matrices Pn,k and Qn,k, and two kinds of generalized Pascal functional matrices On,k[x,y] and Qn,k[x,y] are introduced and studied. Factorization of Pascal matrices into products of (0,1) Jordan matrices is established. Factorization of Pascal functional matrices into products of bidiagonal matrices is obtained.
Citation:
DOI:10.3770/j.issn:1000-341X.2004.01.014
View Full Text  View/Add Comment  
  Copyright © Journal of Mathematical Research with Applications
Sponsored by：Dalian University of Technology, China Society for Industrial and Applied Mathematics
Address：No.2 Linggong Road, Ganjingzi District, Dalian City, Liaoning Province, P. R. China , Postal code ：116024
Service Tel：86-411-84707392 Email：jmre@dlut.edu.cn
Designed by Beijing E-tiller Co.,Ltd.
Due to security factors, early browsers cannot log in. It is recommended to log in with IE10, IE11, Google, Firefox, and 360 new browsers.