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Published in 2018 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-018-2177-8
Abstract: The Szegö–Widom theorem provides an expression for the determinant of block Toeplitz matrices in the asymptotic limit of large matrix dimension n. We show that the presence of zero modes, i.e, eigenvalues that vanish as…
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Keywords:
block toeplitz;
toeplitz matrices;
szeg widom;
zero modes ... See more keywords
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Published in 2020 at "Arnold Mathematical Journal"
DOI: 10.1007/s40598-020-00142-y
Abstract: A simplex in a projective space of dimension n is expressed by a matrix of order n + 1, where each row represents the homogeneous coordinates of a vertex of the simplex with respect to a…
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Keywords:
block toeplitz;
space;
toeplitz matrix;
projective space ... See more keywords
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Published in 2018 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2018.03.014
Abstract: Abstract Using the symbol functions and their associated Fourier series, we introduce a new definition of geometric mean for all positive semi-definite Toeplitz matrices and positive semi-definite block-Toeplitz matrices with Toeplitz structured blocks (TBBT). The…
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Keywords:
block toeplitz;
toeplitz matrices;
toeplitz;
mean toeplitz ... See more keywords