Extending an Almost Complete Pair of Matrices to a Complete Triple
Motivated by the concept of complete pairs, which was introduced by Krein and Langer, we present the concepts of an almost complete pair of matrices and a complete triple of matrices. It is proved that an almost complete pair of matrices can be extended to a complete triple. An application of the re...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/493606 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566816589742080 |
|---|---|
| author | Sheng Chen Chao Xia |
| author_facet | Sheng Chen Chao Xia |
| author_sort | Sheng Chen |
| collection | DOAJ |
| description | Motivated by the concept of complete pairs, which was introduced by Krein and Langer, we present the concepts of an almost complete pair of matrices and a complete triple of matrices. It is proved that an almost complete pair of matrices can be extended to a complete triple. An application of the result to differential equations is also given. |
| format | Article |
| id | doaj-art-5c5c130f84b54ac39ecaf4813c8e9bcb |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-5c5c130f84b54ac39ecaf4813c8e9bcb2025-02-03T01:03:04ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/493606493606Extending an Almost Complete Pair of Matrices to a Complete TripleSheng Chen0Chao Xia1Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaMotivated by the concept of complete pairs, which was introduced by Krein and Langer, we present the concepts of an almost complete pair of matrices and a complete triple of matrices. It is proved that an almost complete pair of matrices can be extended to a complete triple. An application of the result to differential equations is also given.http://dx.doi.org/10.1155/2014/493606 |
| spellingShingle | Sheng Chen Chao Xia Extending an Almost Complete Pair of Matrices to a Complete Triple The Scientific World Journal |
| title | Extending an Almost Complete Pair of Matrices to a Complete Triple |
| title_full | Extending an Almost Complete Pair of Matrices to a Complete Triple |
| title_fullStr | Extending an Almost Complete Pair of Matrices to a Complete Triple |
| title_full_unstemmed | Extending an Almost Complete Pair of Matrices to a Complete Triple |
| title_short | Extending an Almost Complete Pair of Matrices to a Complete Triple |
| title_sort | extending an almost complete pair of matrices to a complete triple |
| url | http://dx.doi.org/10.1155/2014/493606 |
| work_keys_str_mv | AT shengchen extendinganalmostcompletepairofmatricestoacompletetriple AT chaoxia extendinganalmostcompletepairofmatricestoacompletetriple |