Modified steepest descent method for nonlinear irregular operator equations
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Publication:498194
DOI10.1134/S1064562415030187zbMath1334.65099MaRDI QIDQ498194
Publication date: 28 September 2015
Published in: Doklady Mathematics (Search for Journal in Brave)
convergenceregularizationHilbert spacenonlinear operator equationoptimization problemiteration methodssteepest descent method
Iterative procedures involving nonlinear operators (47J25) Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)
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- Operators and iterative processes of Fejér type. Theory and applications.
- Irregular nonlinear operator equations: Tikhonov's regularization and iterative approximation
- Expanding the applicability of Tikhonov's regularization and iterative approximation for ill-posed problems
- Convexity of the Tikhonov functional and iteratively regularized methods for solving irregular nonlinear operator equations
- Optimal a Posteriori Parameter Choice for Tikhonov Regularization for Solving Nonlinear Ill-Posed Problems
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