TY - JOUR

T1 - On numerical stability of randomized projection functional algorithms

AU - Bulgakova, T. E.

AU - Voytishek, A. V.

N1 - Publisher Copyright: © 2019 Taylor & Francis Group, LLC.

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

KW - Integral Fredholm equations of the second kind

KW - Lebesgue constant

KW - Numerical approximation

KW - Numerical stability of the used orthonormal bases

KW - Randomized projection and mesh functional algorithms

UR - http://www.scopus.com/inward/record.url?scp=85074329621&partnerID=8YFLogxK

U2 - 10.1080/03610918.2019.1677914

DO - 10.1080/03610918.2019.1677914

M3 - Article

AN - SCOPUS:85074329621

VL - 51

SP - 1637

EP - 1646

JO - Communications in Statistics Part B: Simulation and Computation

JF - Communications in Statistics Part B: Simulation and Computation

SN - 0361-0918

IS - 4

ER -