On a Regularization Method for Solutions of a Certain Linear Ill-Posed Problem

An effective and easy regularization method for solutions of a linear ill-posed problem (namely, a Fredholm equation of the first kind) is proposed. Keywords and phrases: linear ill-posed problem, Fredholm equations, regularization of solutions. AMS Subject Classification: 47S99

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Published inJournal of mathematical sciences (New York, N.Y.) Vol. 248; no. 4; pp. 382 - 384
Main Author Borisova, E. A.
Format Journal Article
LanguageEnglish
Published New York Springer US 09.07.2020
Springer
Springer Nature B.V
Subjects
Fredholm equations
Ill posed problems
Mathematics
Mathematics and Statistics
Regularization
Regularization methods
regularization of solutions
Fredholm equations
linear ill-posed problem
47S99
Online AccessGet full text
ISSN1072-3374
1573-8795
DOI10.1007/s10958-020-04877-z

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Abstract An effective and easy regularization method for solutions of a linear ill-posed problem (namely, a Fredholm equation of the first kind) is proposed. Keywords and phrases: linear ill-posed problem, Fredholm equations, regularization of solutions. AMS Subject Classification: 47S99
AbstractList An effective and easy regularization method for solutions of a linear ill-posed problem (namely, a Fredholm equation of the first kind) is proposed.
An effective and easy regularization method for solutions of a linear ill-posed problem (namely, a Fredholm equation of the first kind) is proposed. Keywords and phrases: linear ill-posed problem, Fredholm equations, regularization of solutions. AMS Subject Classification: 47S99
Audience Academic
Author Borisova, E. A.
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References A. F. Verlan’ and V. S. Sizikov, Integral Equations. Methods, Algorithms, and Programs [in Russian], Naukova Dumka, Kiev (1986).
V. K. Ivanov, V. V. Vasin, and V. P. Tanana, Theory of Linear Ill-Posed Problems and Its Applications [in Russian], Nauka, Moscow (1978).
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References_xml – reference: V. K. Ivanov, V. V. Vasin, and V. P. Tanana, Theory of Linear Ill-Posed Problems and Its Applications [in Russian], Nauka, Moscow (1978).
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Snippet An effective and easy regularization method for solutions of a linear ill-posed problem (namely, a Fredholm equation of the first kind) is proposed.
An effective and easy regularization method for solutions of a linear ill-posed problem (namely, a Fredholm equation of the first kind) is proposed. Keywords...
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StartPage 382
SubjectTerms Fredholm equations
Ill posed problems
Mathematics
Mathematics and Statistics
Regularization
Regularization methods
Title On a Regularization Method for Solutions of a Certain Linear Ill-Posed Problem
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