On the convergence of power scaled Cesàro sums (Q1373327)
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scientific article; zbMATH DE number 1089503
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the convergence of power scaled Cesàro sums |
scientific article; zbMATH DE number 1089503 |
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On the convergence of power scaled Cesàro sums (English)
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8 November 1998
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The authors study the convergence of diagonal scaled Cesàro sums \[ S_N(A, D)= {1\over N} \sum^{N- 1}_{k= 0} D^{-k} A^k \] for the case of an upper triangular matrix \(A= T\) and \(D= \text{diag}(T)\). The convergence conditions given in the paper for \(S_N(T):= S_N(T, \text{diag}(T))\) include beside a path condition also a Schur complement condition and a spectral condition.
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iterative methods
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scaled Cesàro sums
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convergence conditions
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0.6863349080085754
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0.6809625029563904
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