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
Descripción
Sumario: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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