Dashnic–Zusmanovich type matrices: A new subclass of nonsingular H-matrices

Jianxing Zhao,Qilong Liu,Chaoqian Li,Yaotang Li

doi:10.1016/j.laa.2018.04.028

Dashnic–Zusmanovich type matrices: A new subclass of nonsingular H-matrices

Jianxing Zhao, Qilong Liu + Show 2 more

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https://doi.org/10.1016/j.laa.2018.04.028

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Journal: Linear Algebra and Its Applications	Publication Date: Apr 26, 2018
Citations: 17	License type: publisher-specific-oa

Affiliation: Guizhou Minzu University, Guizhou Normal University, Yunnan University

#New Class Of Matrices #Class Of Matrices + Show 5 more

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Abstract

A new class of matrices, called Dashnic–Zusmanovich type (DZ-type) matrices, which is similar to, but different from Dashnic–Zusmanovich (DZ) matrices, is introduced and proved to be a subclass of nonsingular H-matrices. The relations between strictly diagonally dominant matrices, doubly strictly diagonally dominant matrices, DZ matrices and DZ-type matrices are discussed. Finally, by the non-singularity of DZ-type matrices, a new eigenvalue localization set for matrices is given.

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