Some Characterizations and Properties of a New Partial Order
On the basis of Löwner partial order and core partial order, we introduce a new partial order: LC partial order. By applying matrix decomposition, core inverse, core partial order, and Löwner partial order, we give some characteristics of LC partial order, study the relationship between LC partial o...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/3215038 |
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| _version_ | 1832560004431872000 |
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| author | Xiaoji Liu Fang Gui |
| author_facet | Xiaoji Liu Fang Gui |
| author_sort | Xiaoji Liu |
| collection | DOAJ |
| description | On the basis of Löwner partial order and core partial order, we introduce a new partial order: LC partial order. By applying matrix decomposition, core inverse, core partial order, and Löwner partial order, we give some characteristics of LC partial order, study the relationship between LC partial order and Löwner partial order under constraint conditions, and illustrate its differences with some classical partial orders, such as minus, CL, and GL partial orders. |
| format | Article |
| id | doaj-art-e15d2b20a1af48218da3525ab22f5994 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-e15d2b20a1af48218da3525ab22f59942025-02-03T01:28:43ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/32150383215038Some Characterizations and Properties of a New Partial OrderXiaoji Liu0Fang Gui1School of Mathematics and Physics, Guangxi University for Nationalities, Nanning 530006, ChinaSchool of Mathematics and Physics, Guangxi University for Nationalities, Nanning 530006, ChinaOn the basis of Löwner partial order and core partial order, we introduce a new partial order: LC partial order. By applying matrix decomposition, core inverse, core partial order, and Löwner partial order, we give some characteristics of LC partial order, study the relationship between LC partial order and Löwner partial order under constraint conditions, and illustrate its differences with some classical partial orders, such as minus, CL, and GL partial orders.http://dx.doi.org/10.1155/2020/3215038 |
| spellingShingle | Xiaoji Liu Fang Gui Some Characterizations and Properties of a New Partial Order Journal of Mathematics |
| title | Some Characterizations and Properties of a New Partial Order |
| title_full | Some Characterizations and Properties of a New Partial Order |
| title_fullStr | Some Characterizations and Properties of a New Partial Order |
| title_full_unstemmed | Some Characterizations and Properties of a New Partial Order |
| title_short | Some Characterizations and Properties of a New Partial Order |
| title_sort | some characterizations and properties of a new partial order |
| url | http://dx.doi.org/10.1155/2020/3215038 |
| work_keys_str_mv | AT xiaojiliu somecharacterizationsandpropertiesofanewpartialorder AT fanggui somecharacterizationsandpropertiesofanewpartialorder |