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

DOI:
https://doi.org/10.1090/S0025-5718-1976-0418404-4

MathSciNet review:
0418404

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Abstract | References | Similar Articles | Additional Information

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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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1976-0418404-4

Keywords:
Eigenfunction expansions,
acceleration of convergence,
Lanczos representation,
selfadjoint linear differential operators

Article copyright:
© Copyright 1976
American Mathematical Society