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SYSTEMS OF WIENER-HOPF INTEGRAL EQUATIONS, AND NONLINEAR FACTORIZATION EQUATIONS
Mathematics of the USSR-Sbornik, 1985Translation from Mat. Sb., Nov. Ser. 124(166), No.2(6), 189-216 (Russian) (1984; Zbl 0566.45007).
Engibaryan, N. B., Arabadzhyan, L. G.
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GENERALIZED WIENER–HOPF EQUATIONS WITH DIRECTLY RIEMANN INTEGRABLE INHOMOGENEOUS TERM
Journal of Mathematical Sciences, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fast Preconditioned Conjugate Gradient Algorithms for Wiener–Hopf Integral Equations
SIAM Journal on Numerical Analysis, 1994Summary: The authors study circulant approximations of finite sections of a Wiener-Hopf integral equation on the half-line. Such circulant operators are defined by periodic kernel functions. They approximate finite sections of the Wiener-Hopf operator within a sum of a small operator and an operator with fixed finite rank.
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Circulant integral operators as preconditioners for Wiener-Hopf equations
Integral Equations and Operator Theory, 1995The authors study the solution of the Wiener-Hopf equation \((\sigma I + K) x = g\), where the integral operator \((Kx)(t) = \int^\infty_0 k(t - s) x(s) ds\) is self adjoint and positive definite, \(k \in L_1(- \infty, \infty)\), \(g \in L_2(0,\infty)\), \(\sigma > 0\), by the preconditioned conjugate gradient method. A scheme of constructing circulant
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