Convergence rates of regularized solutions of nonlinear ill-posed operator equations involving monotone operators

DOI10.1007/BF02879043zbMath0915.65055MaRDI QIDQ1128112

Hong-qi Yang, Zongyi Hou

Publication date: 15 June 1999

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

convergencemonotone operatorregularization methodnonlinear ill-posed problemsnonlinear operator equations

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items (2)

Multilevel augmentation methods for nonlinear ill-posed problems ⋮ A posteriori parameter choice strategy for nonlinear monotone operator equations

Cites Work

• Unnamed Item
• On the solution of nonlinear equations with monotone operators in a Banach space
• Convergence rates of iterated Tikhonov regularized solutions of nonlinear ill-posed problems
• Some continuous regularization methods for monotone equations
• On certain minimizing the discrepancy method for operator regularization of equations of first kind
• Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
• Method of Discrepancy in Interpolation Spaces for Nonlinear Ill‐posed Problems
• On the asymptotic order of accuracy of Tikhonov regularization

This page was built for publication: Convergence rates of regularized solutions of nonlinear ill-posed operator equations involving monotone operators