Extending an Almost Complete Pair of Matrices to a Complete Triple

Sheng Chen, Chao Xia · The Scientific World JOURNAL · 2014

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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