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Mathematics of Computation

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Accelerating convergence of eigenfunction expansions

Authors: J. K. Shaw, L. W. Johnson and R. D. Riess
Journal: Math. Comp. 30 (1976), 469-477
MSC: Primary 65B99; Secondary 42A60
MathSciNet review: 0418404
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Abstract: A general procedure is presented for accelerating the convergence of eigenfunction expansions associated with selfadjoint boundary-value problems. The results obtained reduce, in special cases, to certain well-known methods of acceleration, including the Lanczos representation. The generality of the procedure allows the user to take advantage of structural properties of the expanded function.

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Keywords: Eigenfunction expansions, acceleration of convergence, Lanczos representation, selfadjoint linear differential operators
Article copyright: © Copyright 1976 American Mathematical Society

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