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Journal Articles Communications in Computer and Information Science Year : 2021

Algebraic aspects of a rank factorization problem arising in vibration analysis

Abstract

This paper continues the study of a rank factorization problem arising in gear fault surveillance. The structure of a class of solutions -- important in practice -- of the rank factorization problem is studied. We show that these solutions can be parametrized. Using module theory and computer algebra methods, the parameter space P is explicitly characterized and is shown to be the complementary of an algebraic set. Finally, a finite open cover of P is obtained and for each basic open subset of the cover of P, a closed-form solution is characterized.
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Dates and versions

hal-03529914 , version 1 (18-01-2022)

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Yacine Bouzidi, Roudy Dagher, Elisa Hubert, Alban Quadrat. Algebraic aspects of a rank factorization problem arising in vibration analysis. Communications in Computer and Information Science, 2021, Maple in Mathematics Education and Research, 1414, ⟨10.1007/978-3-030-81698-8_8⟩. ⟨hal-03529914⟩
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