An improvement of the infinity norm bound for the inverse of {P1,P2} $\{P_{1},P_{2}\}$-Nekrasov matrices
Abstract A new upper bound for the infinity norm for the inverse of {P1,P2} $\{P_{1},P _{2}\}$-Nekrasov matrices is given. It is proved that the upper bound is sharper than those in Cvetković et al. (Open Math. 13:96–105, 2015) and than well-known Varah’s bound for strictly diagonally dominant matri...
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2019-06-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13660-019-2134-3 |
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doaj-0d3c896b358146c381aba02cf2d0ccf32020-11-25T02:25:03ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-06-012019111210.1186/s13660-019-2134-3An improvement of the infinity norm bound for the inverse of {P1,P2} $\{P_{1},P_{2}\}$-Nekrasov matricesYaqiang Wang0Lei Gao1School of Mathematics and Information Science, Baoji University of Arts and SciencesSchool of Mathematics and Information Science, Baoji University of Arts and SciencesAbstract A new upper bound for the infinity norm for the inverse of {P1,P2} $\{P_{1},P _{2}\}$-Nekrasov matrices is given. It is proved that the upper bound is sharper than those in Cvetković et al. (Open Math. 13:96–105, 2015) and than well-known Varah’s bound for strictly diagonally dominant matrices. Numerical examples are given to illustrate the corresponding results.http://link.springer.com/article/10.1186/s13660-019-2134-3Infinity norm{ P 1 , P 2 } $\{P_{1},P_{2}\}$ -Nekrasov matricesH-matrices |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yaqiang Wang Lei Gao |
| spellingShingle |
Yaqiang Wang Lei Gao An improvement of the infinity norm bound for the inverse of {P1,P2} $\{P_{1},P_{2}\}$-Nekrasov matrices Journal of Inequalities and Applications Infinity norm { P 1 , P 2 } $\{P_{1},P_{2}\}$ -Nekrasov matrices H-matrices |
| author_facet |
Yaqiang Wang Lei Gao |
| author_sort |
Yaqiang Wang |
| title |
An improvement of the infinity norm bound for the inverse of {P1,P2} $\{P_{1},P_{2}\}$-Nekrasov matrices |
| title_short |
An improvement of the infinity norm bound for the inverse of {P1,P2} $\{P_{1},P_{2}\}$-Nekrasov matrices |
| title_full |
An improvement of the infinity norm bound for the inverse of {P1,P2} $\{P_{1},P_{2}\}$-Nekrasov matrices |
| title_fullStr |
An improvement of the infinity norm bound for the inverse of {P1,P2} $\{P_{1},P_{2}\}$-Nekrasov matrices |
| title_full_unstemmed |
An improvement of the infinity norm bound for the inverse of {P1,P2} $\{P_{1},P_{2}\}$-Nekrasov matrices |
| title_sort |
improvement of the infinity norm bound for the inverse of {p1,p2} $\{p_{1},p_{2}\}$-nekrasov matrices |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1029-242X |
| publishDate |
2019-06-01 |
| description |
Abstract A new upper bound for the infinity norm for the inverse of {P1,P2} $\{P_{1},P _{2}\}$-Nekrasov matrices is given. It is proved that the upper bound is sharper than those in Cvetković et al. (Open Math. 13:96–105, 2015) and than well-known Varah’s bound for strictly diagonally dominant matrices. Numerical examples are given to illustrate the corresponding results. |
| topic |
Infinity norm { P 1 , P 2 } $\{P_{1},P_{2}\}$ -Nekrasov matrices H-matrices |
| url |
http://link.springer.com/article/10.1186/s13660-019-2134-3 |
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