Spectral linear matrix inequalities
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DOI: 10.1016/j.aim.2021.107749
Abstract: We prove, under a certain representation theoretic assumption, that the set of real symmetric matrices, whose eigenvalues satisfy a linear matrix inequality, is itself a spectrahedron. The main application is that derivative relaxations of the… read more here.
Keywords: linear matrix; matrix inequalities; matrix; spectral linear ... See more keywords
Spectral ℝ-Linear Problems: Applications to Complex Permittivity of Coated Cylinders
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DOI: 10.3390/math13111862
Abstract: A composite-coated inclusion is embedded in a matrix, where the conductivity (permittivity) of the phases is assumed to be complex-valued. The purpose of this paper is to demonstrate that a non-zero flux can arise under… read more here.
Keywords: problems applications; complex permittivity; permittivity; linear problems ... See more keywords