DocumentCode
552523
Title
Some properties and computing inverses of tri-diagonal M-matrices
Author
Yang, Chuansheng
Author_Institution
Sch. of Math., Zhejiang Ocean Univ., Zhoushan, China
Volume
2
fYear
2011
fDate
10-13 July 2011
Firstpage
876
Lastpage
880
Abstract
In this paper, we study some structural properties of M-matrices and inverse M-matrices. Based on the UL and LU decompositions of an nonsingular tri-diagonal matrix, we get explicit formulas for calculating the entries of the inverse of tri-diagonal M-matrices, which are presented based on their sub-determinants that can be calculated in recurrence.
Keywords
matrix inversion; LU decomposition; UL decomposition; inverse M-matrix; nonsingular tri-diagonal matrix; structural property; sub-determinants; tri-diagonal M-matrix; Educational institutions; Inverse M-matrix; M-matrix; Tri-diagonal Matrix;
fLanguage
English
Publisher
ieee
Conference_Titel
Machine Learning and Cybernetics (ICMLC), 2011 International Conference on
Conference_Location
Guilin
ISSN
2160-133X
Print_ISBN
978-1-4577-0305-8
Type
conf
DOI
10.1109/ICMLC.2011.6016812
Filename
6016812
Link To Document