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Book chapter
Maximum determinant positive definite Toeplitz completions
Operator Theory, Analysis and the State Space Approach, pp 421-441
31 Dec 2018
Abstract
We consider partial symmetric Toeplitz matrices where a positive definite completion exists. We characterize those patterns where the maximum determinant completion is itself Toeplitz. We then extend these results with positive definite replaced by positive semidefinite, and maximum determinant replaced by maximum rank. These results are used to determine the singularity degree of a family of semidefinite optimization problems.
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Details
- Title
- Maximum determinant positive definite Toeplitz completions
- Creators
- Stefan Sremac - University of WaterlooHugo J. Woerdeman - Drexel UniversityHenry Wolkowicz - University of Waterloo
- Publication Details
- Operator Theory, Analysis and the State Space Approach, pp 421-441
- Series
- Operator Theory: Advances and Applications
- Publisher
- Springer International Publishing; Cham
- Resource Type
- Book chapter
- Language
- English
- Academic Unit
- Mathematics
- Scopus ID
- 2-s2.0-85060135169
- Other Identifier
- 991019173988404721