Dashnic-zusmanovich Class of Matrices and Its Applications
نویسندگان
چکیده
Dashnic-Zusmanovich class of matrices has been introduced in [1] as a generalization of the well-known strictly diagonally dominant class. In the same paper it has been shown that this class can be characterized by the special form of its “scaling” into an SDD matrix. Due to this fact, we can improve some known results about, for example, determinant estimation or Perron root estimation in the case of SDD matrices. Moreover, we can develop corresponding estimations for a larger class of matrices. Some simple numerical examples will show how significant this improvement could be. Acknowledgement: This research is partly supported by Ministry of Scienceand Environmental Protection, Serbia, grant 144025. References[1] L.S. Dashnic and M.S. Zusmanovich, O nekotoryah kriteryah regulyarnosti matrici lokalizacii ih spectra, Zh. Vychisl. Matem. i Matem. Fiz., 5, (1970), pp. 1092–1097.
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