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On an Extremal Property of Normal Matrices
N. V. Ilyushechkin OAO Morinformsistema AGAT, Moscow
Abstract:
The volume of the parallelepiped spanned by functions of a square complex matrix defined on its spectrum is considered. The sharp lower bound of such volumes is found.
Keywords:
square complex matrix, Hermite interpolation polynomial, unitary space, Gram matrix, minor.
Received: 22.06.2013 Revised: 04.04.2014
Citation:
N. V. Ilyushechkin, “On an Extremal Property of Normal Matrices”, Mat. Zametki, 97:1 (2015), 67–73; Math. Notes, 97:1 (2015), 57–62
Linking options:
https://www.mathnet.ru/eng/mzm10354https://doi.org/10.4213/mzm10354 https://www.mathnet.ru/eng/mzm/v97/i1/p67
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