Tikhonov Regularization with a Solution Constraint
From MaRDI portal
Publication:4652322
DOI10.1137/S1064827502412280zbMath1081.65033OpenAlexW2054008566MaRDI QIDQ4652322
Lothar Reichel, Daniela Calvetti
Publication date: 25 February 2005
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s1064827502412280
algorithmregularizationnumerical experimentsGauss quadratureill-posed problemleast squares methodill-conditioned linear system
Ill-posedness and regularization problems in numerical linear algebra (65F22) Iterative numerical methods for linear systems (65F10)
Related Items (18)
A Hybrid LSMR Algorithm for Large-Scale Tikhonov Regularization ⋮ Tensor Krylov subspace methods via the Einstein product with applications to image and video processing ⋮ The block Lanczos algorithm for linear ill-posed problems ⋮ New zero-finders for trust-region computations ⋮ An iterative Lagrange method for the regularization of discrete ill-posed inverse problems ⋮ Discrete ill-posed least-squares problems with a solution norm constraint ⋮ Combining approximate solutions for linear discrete ill-posed problems ⋮ Minimization of functionals on the solution of a large-scale discrete ill-posed problem ⋮ An iterative Lavrentiev regularization method ⋮ A new method for solving linear ill-posed problems ⋮ Discrete cosine transform LSQR and GMRES methods for multidimensional ill-posed problems ⋮ Fractional regularization matrices for linear discrete ill-posed problems ⋮ Fractional Tikhonov regularization for linear discrete ill-posed problems ⋮ A global Lanczos method for image restoration ⋮ An interior-point method for large constrained discrete ill-posed problems ⋮ Unnamed Item ⋮ Minimization of linear functionals defined on solutions of large-scale discrete ill-posed problems ⋮ Iterative hybrid regularization for extremely noisy full models in single particle analysis
Uses Software
This page was built for publication: Tikhonov Regularization with a Solution Constraint