On Comparison Theorems for Splittings of Different Semimonotone Matrices
Comparison theorems between the spectral radii of different matrices are useful tools for judging the efficiency of preconditioners. In this paper, some comparison theorems for the spectral radii of matrices arising from proper splittings of different semimonotone matrices are presented.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/329490 |
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| _version_ | 1832560831306399744 |
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| author | Shu-Xin Miao Yang Cao |
| author_facet | Shu-Xin Miao Yang Cao |
| author_sort | Shu-Xin Miao |
| collection | DOAJ |
| description | Comparison theorems between the spectral radii of different matrices are useful tools for judging the efficiency of preconditioners. In this paper, some comparison theorems for the spectral radii of matrices arising from proper splittings of different semimonotone matrices are presented. |
| format | Article |
| id | doaj-art-c79d9456d16d4d969554033dd320f593 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c79d9456d16d4d969554033dd320f5932025-02-03T01:26:35ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/329490329490On Comparison Theorems for Splittings of Different Semimonotone MatricesShu-Xin Miao0Yang Cao1College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, ChinaSchool of Transportation, Nantong University, Nantong 226019, ChinaComparison theorems between the spectral radii of different matrices are useful tools for judging the efficiency of preconditioners. In this paper, some comparison theorems for the spectral radii of matrices arising from proper splittings of different semimonotone matrices are presented.http://dx.doi.org/10.1155/2014/329490 |
| spellingShingle | Shu-Xin Miao Yang Cao On Comparison Theorems for Splittings of Different Semimonotone Matrices Journal of Applied Mathematics |
| title | On Comparison Theorems for Splittings of Different Semimonotone Matrices |
| title_full | On Comparison Theorems for Splittings of Different Semimonotone Matrices |
| title_fullStr | On Comparison Theorems for Splittings of Different Semimonotone Matrices |
| title_full_unstemmed | On Comparison Theorems for Splittings of Different Semimonotone Matrices |
| title_short | On Comparison Theorems for Splittings of Different Semimonotone Matrices |
| title_sort | on comparison theorems for splittings of different semimonotone matrices |
| url | http://dx.doi.org/10.1155/2014/329490 |
| work_keys_str_mv | AT shuxinmiao oncomparisontheoremsforsplittingsofdifferentsemimonotonematrices AT yangcao oncomparisontheoremsforsplittingsofdifferentsemimonotonematrices |