A Unified Non-Strict Finsler Lemma

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 furth...

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Bibliographic Details
Published in:arXiv.org 2024-06
Main Authors: Meijer, T J, Scheres, K J A, van den Eijnden, S, Holicki, T, Scherer, C W, W P M H Heemels
Format: Article
Language:English
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2403.10306