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Theory and Methods Related to the Singular-Function Expansion and Landweber’s Iteration for Integral Equations of the First Kind

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Sur un thÉorÈme gÉnÉral relatif aux Équations intÉgrales de premiÈre espÈce et sur quelques problÈmes de physique mathÉmatique

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The application of numerical filtering to the solution of integral equations encountered in indirect sensing measurements

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Improvement of the resolution of an instrument by numerical solution of an integral equation

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A First Course in Numerical Analysis

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On a General Iterative Method for the Approximate Solution of Linear Operator Equations

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On iteration procedures for equations of the first kind, 𝐴𝑥=𝑦, and Picard’s criterion for the existence of a solution

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Numerical solution of Fredholm integral equations of first kind

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Minimum-RMS Estimation of the Numerical Solution of a Fredholm Integral Equation of the First Kind

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A Numerical Method for Solving Fredholm Integral Equations of the First Kind Using Singular Values

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A Technique for the Numerical Solution of Certain Integral Equations of the First Kind

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On the Numerical Solution of Fredholm Integral Equations of the First Kind by the Inversion of the Linear System Produced by Quadrature

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On the Information Content of Umkehr Observations

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INDIRECT MEASUREMENTS OF ATMOSPHERIC TEMPERATURE PROFILES FROM SATELLITES: II. MATHEMATICAL ASPECTS OF THE INVERSION PROBLEM

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Iterative Solution of the Radiative Transfer Equation for the Temperature and Absorbing Gas Profile of an Atmosphere

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An Iteration Formula for Fredholm Integral Equations of the First Kind

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Early stopping and non-parametric regression: An optimal data-dependent stopping rule

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A Continuous-Time View of Early Stopping for Least Squares

inferred← citeshttps://doi.org/10.48550/arxiv.1911.07956openalex-snapshot

Implicit Regularization and Convergence for Weight Normalization

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