A new iterative method for solving linear Fredholm integral equations using the least squares method

DOI10.1016/j.amc.2014.10.131zbMath1328.65273OpenAlexW2039562891MaRDI QIDQ902777

Meisam Jozi, Saeed Karimi

Publication date: 4 January 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.10.131

zbMATH Keywords

iterative methodill-posed problembidiagonal processintegral quadraturesLSQR method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05)

Related Items (8)

Error estimates for Golub–Kahan bidiagonalization with Tikhonov regularization for ill–posed operator equations ⋮ Direct Implementation of Tikhonov Regularization for the First Kind Integral Equation ⋮ Weighted conjugate gradient-type methods for solving quadrature discretization of Fredholm integral equations of the first kind ⋮ NUMERICAL SOLUTION OF SINGULAR STOCHASTIC INTEGRAL EQUATIONS OF ABEL’S TYPE USING OPERATIONAL MATRIX METHOD ⋮ A CCBM-based generalized GKB iterative regularization algorithm for inverse Cauchy problems ⋮ A splitting iterative method for solving second kind integral equations in reproducing kernel spaces ⋮ An iterative method to compute minimum norm solutions of ill-posed problems in Hilbert spaces ⋮ LSMR iterative method for solving one- and two-dimensional linear Fredholm integral equations

Uses Software

• LSQR
• CRAIG

Cites Work

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