Journal article
REVERSE CHOLESKY FACTORIZATION AND TENSOR PRODUCTS OF NEST ALGEBRAS
Proceedings of the American Mathematical Society, v 146(4), pp 1693-1698
01 Apr 2018
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
We prove that every positive semidefinite matrix over the natural numbers that is eventually 0 in each row and column can be factored as the product of an upper triangular matrix times a lower triangular matrix. We also extend some known results about factorization with respect to tensor products of nest algebras. Our proofs use the theory of reproducing kernel Hilbert spaces.
Metrics
Details
- Title
- REVERSE CHOLESKY FACTORIZATION AND TENSOR PRODUCTS OF NEST ALGEBRAS
- Creators
- Vern I. Paulsen - University of WaterlooHugo J. Woerdeman - Drexel University
- Publication Details
- Proceedings of the American Mathematical Society, v 146(4), pp 1693-1698
- Publisher
- Amer Mathematical Soc
- Number of pages
- 6
- Grant note
- NSERC; Natural Sciences and Engineering Research Council of Canada (NSERC) Institute for Quantum Computing at the University of Waterloo 355645 / Simons Foundation
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000423537500029
- Scopus ID
- 2-s2.0-85041499277
- Other Identifier
- 991019168577304721
UN Sustainable Development Goals (SDGs)
This publication has contributed to the advancement of the following goals:
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics
- Mathematics, Applied