Modified Szegö–Widom Asymptotics for Block Toeplitz Matrices with Zero Modes
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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… read more here.
Keywords: block toeplitz; toeplitz matrices; szeg widom; zero modes ... See more keywords
Use of Block Toeplitz Matrix in the Study of Möbius Pairs of Simplexes in Higher-Dimensional Projective Space
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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… read more here.
Keywords: block toeplitz; space; toeplitz matrix; projective space ... See more keywords
A geometric mean for Toeplitz and Toeplitz-block block-Toeplitz matrices
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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… read more here.
Keywords: block toeplitz; toeplitz matrices; toeplitz; mean toeplitz ... See more keywords