Email this article On Dashnic–Zusmanovich (DZ) and Dashnic–Zusmanovich Type (DZT) Matrices and Their Inverses
- Authors: Kolotilina L.Y.1
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Affiliations:
- St. Petersburg Department of Steklov Mathematical Institute
- Issue: Vol 240, No 6 (2019)
- Pages: 799-812
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/242839
- DOI: https://doi.org/10.1007/s10958-019-04397-5
- ID: 242839
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Abstract
The paper is mainly devoted to studying the so-called Dashnic–Zusmanovich type (DZT) matrices, introduced recently. Interrelations among the DZT matrices and related subclasses of the class of nonsingular \( \mathcal{H} \)-matrices, namely, the Dashnic–Zusmanovich (DZ) and S-SDD matrices are considered. Upper bounds for the l∞-norms of the inverses to DZT, DZ, and strictly diagonally dominant (SDD) matrices are obtained. A new eigenvalue inclusion set is provided.
About the authors
L. Yu. Kolotilina
St. Petersburg Department of Steklov Mathematical Institute
Author for correspondence.
Email: lilikona@mail.ru
Russian Federation, St. Peterburg
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