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- W56093301 abstract "If the symbol of an infinite Toeplitz band matrix has nonzero winding number, then the distances of the n × n truncations of this matrix to the nearest singular matrices go to zero with exponential speed as n → ∞. The purpose of this note is to show that if we measure the distance to the nearest singular matrix within the matrices of the same Toeplitz band structure as the original matrix, then things are less dramatic: this distance stays away from zero if only the origin does not belong to the Schmidt-Spitzer set." @default.
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- W56093301 date "2002-01-01" @default.
- W56093301 modified "2023-10-11" @default.
- W56093301 title "On the Distance of a Large Toeplitz Band Matrix to the Nearest Singular Matrix" @default.
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- W56093301 doi "https://doi.org/10.1007/978-3-0348-8199-9_7" @default.
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