Extending an Almost Complete Pair of Matrices to a Complete Triple

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...

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Main Authors: Sheng Chen, Chao Xia
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/493606
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spelling doaj-5c5c130f84b54ac39ecaf4813c8e9bcb2020-11-25T02:15:24ZengHindawi LimitedThe 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
collection DOAJ
language English
format Article
sources DOAJ
author Sheng Chen
Chao Xia
spellingShingle Sheng Chen
Chao Xia
Extending an Almost Complete Pair of Matrices to a Complete Triple
The Scientific World Journal
author_facet Sheng Chen
Chao Xia
author_sort Sheng Chen
title 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_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_sort extending an almost complete pair of matrices to a complete triple
publisher Hindawi Limited
series The Scientific World Journal
issn 2356-6140
1537-744X
publishDate 2014-01-01
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.
url http://dx.doi.org/10.1155/2014/493606
work_keys_str_mv AT shengchen extendinganalmostcompletepairofmatricestoacompletetriple
AT chaoxia extendinganalmostcompletepairofmatricestoacompletetriple
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