An algorithm for the solution of ill-posed linear systems arising from the discretization of Fredholm integral equation of the first kind

DOI10.1016/0022-247X(83)90240-8zbMath0522.65086MaRDI QIDQ1056214

Nabih N. Abdelmalek

Publication date: 1983

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

numerical resultsFredholm integral equation of the first kindconsistent systemill-posed systemminimum length least squares solution

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (1)

A novel fractional Tikhonov regularization coupled with an improved super-memory gradient method and application to dynamic force identification problems

Uses Software

• LINPACK

Cites Work

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• The solution of ill-conditioned linear systems arising from Fredholm equations of the first kind by steepest descents and conjugate gradients
• Minimum energy problem for discrete linear admissible control systems
• A Practical Examination of Some Numerical Methods for Linear Discrete Ill-Posed Problems
• Numerical solution of Fredholm integral equations of first kind
• A Method for Computing the Generalized Inverse of a Matrix
• The least squares problem and pseudo-inverses
• A Numerical Method for Solving Fredholm Integral Equations of the First Kind Using Singular Values
• The Deferred Approach to the Limit for Eigenvalues of Integral Equations
• On the Numerical Solution of Ill-Conditioned Linear Systems with Applications to Ill-Posed Problems

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