The problems of linear and quadratic programming for ill-posed problems on some compact sets

DOI10.1515/156939403769237079zbMath1039.47011OpenAlexW2028188381MaRDI QIDQ4432581

Anatoly G. Yagola, V. N. Titarenko

Publication date: 27 October 2003

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/156939403769237079

zbMATH Keywords

approximate solutionsill-posed problemsinverse problem for the heat equation

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Inverse problems for PDEs (35R30) Linear operators and ill-posed problems, regularization (47A52)

Related Items (6)

A posteriori error estimates for numerical solutions to inverse problems of elastography ⋮ Extra-optimal methods for solving ill-posed problems: survey of theory and examples ⋮ Optimal recovery in problems of solving linear integral equations with a priori information ⋮ POINTWISE RESIDUAL METHOD FOR SOLVING PRIMAL AND DUAL ILL-POSED LINEAR PROGRAMMING PROBLEMS WITH APPROXIMATE DATA ⋮ Using a priori information about a solution of an ill-posed problem for constructing regularizing algorithms and their applications ⋮ Linear ill-posed problems on sets of convex functions on two-dimensional sets

Cites Work

• Ill-posed problems with a priori information
• Elements of the theory of inverse problems
• Special regularizing methods for ill-posed problems with sourcewise represented solutions
• Convex Analysis
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