A PROJECTION BASED REGULARIZED APPROXIMATION METHOD FOR ILL-POSED OPERATOR EQUATIONS Article Swipe
Problem of solving Fredholm integral equations of the first kind is a prototype of an ill-posed problem of the form T (x) = y, where T is a compact operator between Hilbert spaces. Regularizations and discretizations of such equations are necessary for obtaining stable approximate solutions for such problems. For ill-posed integral equations, a quadrature based collocation method has been considered by Nair (2012) for obtaining discrete regularized approximations. As a generalization of that, a projection collocation method has been studied in 2016. In both of the considered methods, the operator T is approximate by a sequence of finite rank operators. In the present paper, the authors choose to approximate T T * by finite rank operators. It is found that in some cases, the derived estimates are improvements over the previous estmiates.
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- preprint
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- en
- Landing Page
- https://hal.science/hal-01782310
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- green
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- OpenAlex ID
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- Title
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A PROJECTION BASED REGULARIZED APPROXIMATION METHOD FOR ILL-POSED OPERATOR EQUATIONSWork title
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preprintOpenAlex work type
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enPrimary language
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2018Year of publication
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2018-05-01Full publication date if available
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Laurence Grammont, M. Thamban NairList of authors in order
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https://hal.science/hal-01782310Publisher landing page
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
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https://hal.science/hal-01782310Direct OA link when available
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Operator (biology), Well-posed problem, Projection (relational algebra), Applied mathematics, Mathematics, Computer science, Mathematical optimization, Algorithm, Repressor, Chemistry, Biochemistry, Transcription factor, GeneTop concepts (fields/topics) attached by OpenAlex
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10Other works algorithmically related by OpenAlex
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