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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Detalles Bibliográficos
Autores principales: Chen, Sheng, Xia, Chao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4030561/
https://www.ncbi.nlm.nih.gov/pubmed/24892056
http://dx.doi.org/10.1155/2014/493606
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author Chen, Sheng
Xia, Chao
author_facet Chen, Sheng
Xia, Chao
author_sort Chen, Sheng
collection PubMed
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.
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spelling pubmed-40305612014-06-02 Extending an Almost Complete Pair of Matrices to a Complete Triple Chen, Sheng Xia, Chao ScientificWorldJournal Research Article 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. Hindawi Publishing Corporation 2014 2014-04-27 /pmc/articles/PMC4030561/ /pubmed/24892056 http://dx.doi.org/10.1155/2014/493606 Text en Copyright © 2014 S. Chen and C. Xia. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Chen, Sheng
Xia, Chao
Extending an Almost Complete Pair of Matrices to a Complete Triple
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
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4030561/
https://www.ncbi.nlm.nih.gov/pubmed/24892056
http://dx.doi.org/10.1155/2014/493606
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