Extensions of pseudo-Perron-Frobenius splitting related to generalized inverse AT,S (2)

Author:

Huang Shaowu1,Wang Qing-Wen1,Wu Shuxia2,Yu Yaoming3

Affiliation:

1. Department of Mathematics, Shanghai University, Shanghai 200444. P. R. China

2. Department of Mathematics, Sichuan University for Nationalities, Kangding 626001. P. R. China

3. College of Education, Shanghai Normal University, Shanghai 200234, P. R. China

Abstract

Abstract We in this paper define the outer-Perron-Frobenius splitting, which is an extension of the pseudo- Perron-Frobenius splitting defined in [A.N. Sushama, K. Premakumari, K.C. Sivakumar, Extensions of Perron-Frobenius splittings and relationships with nonnegative Moore-Penrose inverse, Linear and Multilinear Algebra 63 (2015) 1-11]. We present some criteria for the convergence of the outer-Perron-Frobenius splitting. The findings of this paper generalize some known results in the literatures.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology,Algebra and Number Theory

Reference10 articles.

1. [1] A. Ben-Israel, T.N.E. Greville, Generalized Inverses. Theory and Applications (2nd edition), Springer-Verlag; 2003.

2. [2] A. Berman, R.J. Plemmons, Cones and iterative methods for best least squares solutions of linear systems. SIAM J. Numer. Anal. 11:145-154, 1974.

3. [3] A. Berman, R.J. Plemmons, Nonnegative matrices in the mathematical sciences. Philadelphia (PA): SIAM; 1994.

4. [4] G. Wang, H. Tian, Y. Wei, The representation of generalized inveerse A(2) T,S based on splitting of matrix and it applications. Applied Mathematics a Journal of Chinese Universities. 1995; 10(2):217-221.(Chinese)

5. [5] D.S. Djordjevic, P.S. Stanimirovic, Splittings of operators and generalized inverse. Publ. Math. Debrecen. 2001; 59(1-2): 147-159.

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