Title :
An algorithm on the minimal eigenvalue of an M-matrix with centrosymmetric structure
Author :
Zhao, Di ; Li, Hongyi
Author_Institution :
Sch. of Math. & Syst. Sci., Beihang Univ., Beijing, China
Abstract :
The M-matrix is an important kind of structured matrix with many applications in various physics and engineering problems. In this paper, we focus on the minimal eigenvalue of an M-matrix. We first discuss the method of diagonal transformation, an algorithm for the spectral radius of irreducible nonnegative matrices. Based on it, an algorithm for the minimal eigenvalue of an M-matrix is constructed afterwards. A numerical example is given at last, showing the feasibility and validity of the algorithm presented.
Keywords :
eigenvalues and eigenfunctions; matrix algebra; M-matrix; centrosymmetric structure; diagonal transformation; irreducible nonnegative matrices; minimal eigenvalue; spectral radius; Approximation methods; Eigenvalues and eigenfunctions; M-matrix; diagonal transformation; nonnegative matrices; the minimal eigenvalue;
Conference_Titel :
Communication Software and Networks (ICCSN), 2011 IEEE 3rd International Conference on
Conference_Location :
Xi´an
Print_ISBN :
978-1-61284-485-5
DOI :
10.1109/ICCSN.2011.6014041
