Information complexity of equations of the second kind with compact operators in Hilbert space

DOI10.1016/0885-064X(92)90014-3zbMath0758.65045OpenAlexW2006646325MaRDI QIDQ1194384

Kosnazar K. Sharipov, Sergei V. Pereverzyev

Publication date: 27 September 1992

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0885-064x(92)90014-3

zbMATH Keywords

Hilbert spacecompact operatorsweakly singular integral equationssecond kindFredholm and Volterra integral equationsexact order of information complexityPeierls integral equation

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Numerical methods for integral equations (65R20) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Fredholm integral equations (45B05) Complexity and performance of numerical algorithms (65Y20) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items

Complexity of Fredholm equations of the second kind with kernels from anisotropic classes of differentiable functions ⋮ Complexity of projective methods for the solution of ill-posed problems ⋮ On the complexity of boundary integral equations with analytic coefficients with logarithmic singularities ⋮ The optimal approximations for solving linear ill-posed problems ⋮ The exact order of information-based complexity of weakly singular integral equations with periodic analytic coefficients ⋮ Information complexity of weakly singular integral equations ⋮ Optimization of algorithms for the approximate solution of Volterra equations with infinitely differentiable kernels ⋮ Hyperbolic cross and the complexity of various classes of ill-posed linear problems ⋮ COMPLEXITY ESTIMATES FOR SEVERELY ILL-POSED PROBLEMS UNDER A POSTERIORI SELECTION OF REGULARIZATION PARAMETER

Cites Work

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