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Zbl 1095.65030
Duan, Fujian; Zhang, Kecun
An algorithm of diagonal transformation for Perron root of nonnegative irreducible matrices. (English)
[J] Appl. Math. Comput. 175, No. 1, 762-772 (2006). ISSN 0096-3003

For computing the spectral radius of a nonnegative matrix, a class of diagonal transformation methods proposed by {\it W. Bunse} [SIAM J. Numer. Anal. 18, 693--704 (1981; Zbl 0478.65017)] can be used. One of these methods is the completely diagonal transformation method. The contribution of this paper is that the convergence of this method for nonnegative irreducible matrices is proved.
[Liu Xinguo (Qingdao)]

MSC 2000:: *65F15 Eigenvalues (numerical linear algebra)

Keywords: nonnegative matrices; Perron root; diagonal transformation method; spectral radius; convergence; irreducible matrices

Citations: Zbl 0478.65017

Cited in: Zbl 1215.65068

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