Perron Complements of Strictly Generalized Doubly Diagonally Dominant Matrices

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Volume 5, Issue 4

Li Zeng, Ming Xiao and Ting-Zhu Huang

J. Info. Comput. Sci. , 5 (2010), pp. 261-270.

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Abstract

As is known, Meyer introduced the concept of the Perron complements of nonnegative irreducible matrices. In addition, the Schur complements of generalized doubly diagonally dominant matrices were introduced by Liu etal. [Linear Algebra Appl., 378(2004): 231-244]. In this paper, properties of the Perron complement of strictly generalized doubly diagonally dominate matrices are presented.

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@Article{JICS-5-261, author = {Li Zeng, Ming Xiao and Ting-Zhu Huang}, title = {Perron Complements of Strictly Generalized Doubly Diagonally Dominant Matrices}, journal = {Journal of Information and Computing Science}, year = {2010}, volume = {5}, number = {4}, pages = {261--270}, abstract = { As is known, Meyer introduced the concept of the Perron complements of nonnegative irreducible matrices. In addition, the Schur complements of generalized doubly diagonally dominant matrices were introduced by Liu etal. [Linear Algebra Appl., 378(2004): 231-244]. In this paper, properties of the Perron complement of strictly generalized doubly diagonally dominate matrices are presented. }, issn = {3080-180X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22700.html} }

TY - JOUR T1 - Perron Complements of Strictly Generalized Doubly Diagonally Dominant Matrices AU - Li Zeng, Ming Xiao and Ting-Zhu Huang JO - Journal of Information and Computing Science VL - 4 SP - 261 EP - 270 PY - 2010 DA - 2010/12 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22700.html KW - AB - As is known, Meyer introduced the concept of the Perron complements of nonnegative irreducible matrices. In addition, the Schur complements of generalized doubly diagonally dominant matrices were introduced by Liu etal. [Linear Algebra Appl., 378(2004): 231-244]. In this paper, properties of the Perron complement of strictly generalized doubly diagonally dominate matrices are presented.

Li Zeng, Ming Xiao and Ting-Zhu Huang. (2010). Perron Complements of Strictly Generalized Doubly Diagonally Dominant Matrices. Journal of Information and Computing Science. 5 (4). 261-270. doi:

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