On numerical stability of randomized projection functional algorithms

T. E. Bulgakova; A. V. Voytishek

doi:10.1080/03610918.2019.1677914

On numerical stability of randomized projection functional algorithms

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

In this paper, the application of randomized projection functional algorithms for numerical approximation of solutions of Fredholm equations of the second kind is discussed. Special attention is paid to the problems of numerical stability of the used orthonormal functional bases. The numerical instability of the randomized projection functional algorithm is noticed for the simple test one-dimensional equation and for the Hermite orthonormal basis.

Язык оригинала	английский
Журнал	Communications in Statistics: Simulation and Computation
DOI	https://doi.org/10.1080/03610918.2019.1677914
Состояние	Опубликовано - 15 окт 2019

Доступ к документу

10.1080/03610918.2019.1677914

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abstract = "In this paper, the application of randomized projection functional algorithms for numerical approximation of solutions of Fredholm equations of the second kind is discussed. Special attention is paid to the problems of numerical stability of the used orthonormal functional bases. The numerical instability of the randomized projection functional algorithm is noticed for the simple test one-dimensional equation and for the Hermite orthonormal basis.",

keywords = "Integral Fredholm equations of the second kind, Lebesgue constant, Numerical approximation, Numerical stability of the used orthonormal bases, Randomized projection and mesh functional algorithms",

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KW - Lebesgue constant

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KW - Numerical stability of the used orthonormal bases

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