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Continuous
factorization of the identity matrix
Yuying Dai, Ankush Hore, Siqi Jiao, Tianxu Lan and Pavlos Motakis
Vol. 13 (2020), No. 1, 149–164
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Abstract |
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We investigate conditions under which the identity matrix can be continuously factorized through a continuous matrix function with domain in . We study the relationship of the dimension , the diagonal entries of , and the norm of to the dimension and the norms of the matrices that witness the factorization of through . |
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Keywords
factorization of the identity, matrices with large diagonal
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Mathematical Subject Classification 2010
Primary: 15A23, 46B07
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Milestones
Received: 31 August 2019
Revised: 7 October 2019
Accepted: 14 October 2019
Published: 4 February 2020
Communicated by Kenneth S. Berenhaut
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Authors |
| Yuying Dai | |
| Department of Mathematics University of Illinois at Urbana-Champaign Urbana, IL United States |
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| Ankush Hore | |
| Department of Mathematics University of Illinois at Urbana-Champaign Urbana, IL United States |
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| Siqi Jiao | |
| Department of Mathematics University of Illinois at Urbana-Champaign Urbana, IL United States |
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| Tianxu Lan | |
| Department of Mathematics University of Illinois at Urbana-Champaign Urbana, IL United States |
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| Pavlos Motakis | |
| Department of Mathematics University of Illinois at Urbana-Champaign Urbana, IL United States |
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