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- W2167278803 abstract "Let K,M ∈ N with K<M, and define a square K × K Vandermonde matrix A = A (τ, )with nodes on the unit circle: Ap,q = exp (−j2πpnqτ /K) ; p, q = 0, 1, ..., K − 1, wherenq ∈ {0, 1, ...,M − 1} and n0 < n1 < .... < nK−1. Such matrices arise in some types of interpolationproblems. In this paper, necessary and sufficient conditions are presented on the vector −→n so thata value of τ ∈ R can be found to achieve perfect conditioning of A. A simpl e test to check thecondition is derived and the corresponding value of τ is found." @default.
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- W2167278803 date "2007-01-01" @default.
- W2167278803 modified "2023-10-17" @default.
- W2167278803 title "On perfect conditioning of Vandermonde matrices on the unit circle" @default.
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- W2167278803 doi "https://doi.org/10.13001/1081-3810.1190" @default.
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