Generalization of the Multiplicative and Additive Compounds of Square Matrices and Contraction Theory in the Hausdorff Dimension

The k multiplicative and k additive compounds of a matrix play an important role in geometry, multilinear algebra, the asymptotic analysis of nonlinear dynamical systems, and in bounding the Hausdorff dimension of fractal sets. These compounds are defined for the integer values of k . Here, we intro...

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Bibliographic Details
Main Authors: Wu, Chengshuai, Pines, Raz, Margaliot, Michael, Slotine, Jean-Jacques
Format: Article
Language:English
Published: Institute of Electrical and Electronics Engineers 2024
Online Access:https://hdl.handle.net/1721.1/155762