Spectral methods for linear inverse problems with unbounded operators

DOI10.1016/0021-9045(92)90053-QzbMath0759.41021MaRDI QIDQ1191736

S. Singh

Publication date: 27 September 1992

Published in: Journal of Approximation Theory (Search for Journal in Brave)

zbMATH Keywords

Moore-Penrose generalized inversespectral methodsunbounded linear operators

Mathematics Subject Classification ID

Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Linear operator approximation theory (47A58) Approximation by positive operators (41A36)

Related Items (12)

Operators that attain reduced minimum ⋮ Probabilistic Analysis of Programs: A Weak Limit Approach ⋮ On the denseness of minimum attaining operators ⋮ Geometric numerical integrators for Hunter-Saxton-like equations ⋮ Denoising with higher order derivatives of bounded variation and an application to parameter estimation ⋮ A formula for gap between two closed operators ⋮ Projection methods for computing Moore-Penrose inverses of unbounded operators ⋮ Groetsch's representation of Moore-Penrose inverses and ill-posed problems in Hilbert \(C^{*}\)-modules ⋮ An iterative stabilization method for the evaluation of unbounded operators ⋮ The Horn-Li-Merino formula for the gap and the spherical gap of unbounded operators ⋮ Dykstra's algorithm and a representation of the Moore-Penrose inverse ⋮ On the functional Hodrick-Prescott filter with non-compact operators

Cites Work

• A posteriori parameter choice for general regularization methods for solving linear ill-posed problems
• Regularization of ill-posed problems: Optimal parameter choice in finite dimensions
• Regularization of ill-posed problems involving unbounded operators in Banach spaces
• Relative self-adjoint operators in Hilbert space
• A Shooting Algorithm for the Best Least Squares Solution of Two-Point Boundary Value Problems
• Representation and Computation of the Pseudoinverse
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Spectral methods for linear inverse problems with unbounded operators