Affiliation:
1. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
Abstract
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.
Funder
National Natural Science Foundation of China
Subject
General Environmental Science,General Biochemistry, Genetics and Molecular Biology,General Medicine