The classical moment problem for continued fraction expansion of relaxation functions is surveyed. The theory is then extended to the moment problem associated to relaxation operators or super-operators. Numerical aspects and sensitivity of algorithms to round-off errors are also examined. A new convenient approach is developed exploiting a product-difference recursive scheme, within the memory function formalism.
THE CLASSICAL AND GENERALIZED MOMENT PROBLEM IN THE THEORY OF RELAXATION
GROSSO, GIUSEPPE;
1985
Abstract
The classical moment problem for continued fraction expansion of relaxation functions is surveyed. The theory is then extended to the moment problem associated to relaxation operators or super-operators. Numerical aspects and sensitivity of algorithms to round-off errors are also examined. A new convenient approach is developed exploiting a product-difference recursive scheme, within the memory function formalism.File in questo prodotto:
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