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Numerical methods for rectangular multiparameter eigenvalue problems, with applications to finding optimal ARMA and LTI models

Published in Numerical Linear Algebra with Applications • Nov 9, 2023
NobleIDNI0P68W18R36S06
Authors:
Michiel E. Hochstenbach
,
Tomaž Košir
,
Bor Plestenjak

Abstract

Abstract Standard multiparameter eigenvalue problems (MEPs) are systems of linear ‐parameter square matrix pencils. Recently, a new form of multiparameter eigenvalue problems has emerged: a rectangular MEP (RMEP) with only one multivariate rectangular matrix pencil, where we are looking for combinat...

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