A discrepancy principle for equations with monotone continuous operators

2009/03/03 by N. S. Hoang, А. Г. Рамм, Hoang, N. S. +1
Engineering · Mathematics · #47J05 #47J06 #47J35 #65R30 #FOS: Mathematics #Heat Transfer and Mathematical Modeling #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Radiative Heat Transfer Studies

paper · pdf · doi:10.48550/arxiv.0903.0553

openalex publication_date 2009/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A discrepancy principle for solving nonlinear equations with monotone operators given noisy data is formulated. The existence and uniqueness of the corresponding regularization parameter a(δ) is proved. Convergence of the solution obtained by the discrepancy principle is justified. The results are obtained under natural assumptions on the nonlinear operator.

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