A Unified Non-Strict Finsler Lemma
Abstract
In this paper, we present a unified general non-strict Finsler lemma. This result is general in the sense that it does not impose any restrictions on the involved matrices and, thereby, it encompasses all existing non-strict versions of Finsler's lemma that do impose such restrictions. To further illustrate its usefulness, we showcase applications of the non-strict Finsler's lemma in deriving a structured solution to a special case of the non-strict projection lemma, and we use the unified non-strict Finsler's lemma to prove a more general version of the matrix Finsler's lemma.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2024
- DOI:
- arXiv:
- arXiv:2403.10306
- Bibcode:
- 2024arXiv240310306M
- Keywords:
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- Mathematics - Optimization and Control;
- Electrical Engineering and Systems Science - Systems and Control
- E-Print:
- doi:10.1109/LCSYS.2024.3415473