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A sharp estimate for the exponential decay rate of the inverse of a diagonally dominant matrix is given. This is used to study the bounded spline interpolation at a bi-infinite knot sequence. MSC codes 41A15 41A05 65F99 Keywords spline interpolation bi-infinite knot sequence matrix inversion exponential decay mesh ratio
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Rong-Qing Jia (1986) studied this question.
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