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(2001 / vol.4 / no.1)
A Survey on the Matrix Completion Problem
Sang-Gu Lee, Han-Guk Seol
Pages. 38-43     



Completion problems arise in a variety of applications, such as statistics (e.g. entropy methods for missing data), chemistry (the molecular conformation problem), systems theory, discrete optimization (relaxation methods), data compression, etc., as well as in operator theory and within matrix theory (e.g. determinantal inequalities). In addition to applications, completion problems have provided an excellent mechanism for understanding matrix structure more deeply. In this article, we survey the recent works on matrix completion problems.



1. Introduction
2. Hermitian problems
3. Rank problems
4. Eigenvalue and singular value completion problems
5. Conclusion



matrix completion, partial matrix, positive definite



15A04, 15A21, 15A30