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- W2023871431 abstract "We are concerned with the numerical solution of the eigenvalue problem $Tvarphi = lambda varphi ,varphi ne 0$, where T is a linear operator in a Bana,ch space. T may represent a bounded integral operator or a closed differential operator (with bounded inverse). The linear operator T and its approximation $T_n $ are defined in the same space. Perturbation theory is then a suitable framework for our problem. We present in the first part a systematic study of the various notions of convergence $T_n to T$, which imply the convergence of the eigenvalues with preservation of the multiplicities. The results are then applied to practical methods for integral and differential operators. In the second part, we present convergence rates. Analytic perturbation theory is used to refine on the computed eigenelements of an integral operator, and to produce localization results on the eigenelements. Finally superconvergence results are discussed, both for integral and differential operators." @default.
- W2023871431 created "2016-06-24" @default.
- W2023871431 creator A5044388028 @default.
- W2023871431 date "1981-10-01" @default.
- W2023871431 modified "2023-09-25" @default.
- W2023871431 title "The Spectral Approximation of Linear Operators with Applications to the Computation of Eigenelements of Differential and Integral Operators" @default.
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- W2023871431 cites W1597544196 @default.
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- W2023871431 cites W1974495840 @default.
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- W2023871431 cites W1976439918 @default.
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- W2023871431 cites W2005539742 @default.
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- W2023871431 cites W2023729193 @default.
- W2023871431 cites W2033514624 @default.
- W2023871431 cites W2036668588 @default.
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- W2023871431 cites W2045306927 @default.
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- W2023871431 cites W2056933092 @default.
- W2023871431 cites W2062135438 @default.
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- W2023871431 cites W2062618977 @default.
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- W2023871431 cites W2063246118 @default.
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- W2023871431 cites W2075776747 @default.
- W2023871431 cites W2077549459 @default.
- W2023871431 cites W2078308765 @default.
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- W2023871431 cites W2090808851 @default.
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- W2023871431 cites W2094322964 @default.
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- W2023871431 cites W2130253263 @default.
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- W2023871431 cites W2164998571 @default.
- W2023871431 cites W2280299249 @default.
- W2023871431 cites W2313377598 @default.
- W2023871431 cites W2314039643 @default.
- W2023871431 cites W2315739137 @default.
- W2023871431 cites W2319526228 @default.
- W2023871431 cites W2726143096 @default.
- W2023871431 cites W2734752740 @default.
- W2023871431 cites W2914886588 @default.
- W2023871431 cites W4231088607 @default.
- W2023871431 cites W4236153425 @default.
- W2023871431 cites W4242212920 @default.
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- W2023871431 cites W4252646233 @default.
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- W2023871431 doi "https://doi.org/10.1137/1023099" @default.
- W2023871431 hasPublicationYear "1981" @default.
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