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

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

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 di...

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Veröffentlicht in:Linear algebra and its applications 2018-09, Vol.552, p.277-287
Hauptverfasser: Zhao, Jianxing, Liu, Qilong, Li, Chaoqian, Li, Yaotang
Format: Artikel
Sprache:eng
Schlagworte:
Dashnic–Zusmanovich matrices
Dashnic–Zusmanovich type matrices
Eigenvalue localization
Eigenvalues
H-matrices
Linear algebra
Mathematics
Matrix
Sparsity
Strictly diagonally dominant
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Zusammenfassung: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.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2018.04.028