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1. Minimal rank completions for overlapping blocks.

Author

Epperly, Ethan N., Govindarajan, Nithin, and Chandrasekaran, Shivkumar

Subjects
*MATRICES (Mathematics)
Abstract

We consider the multi-objective optimization problem of choosing the bottom left block-entry of a block lower triangular matrix to minimize the ranks of all block sub-matrices. We provide a proof that there exists a simultaneous rank-minimizer by constructing the complete set of all minimizers. [ABSTRACT FROM AUTHOR]

Published
2021
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