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math.NA2024
Efficient Decomposition-Based Algorithms for -Regularized Inverse Problems with Column-Orthogonal and Kronecker Product Matrices
Brian Sweeney, Malena I. Español, Rosemary Renaut
We consider an -regularized inverse problem where both the forward and regularization operators have a Kronecker product structure. By leveraging this structure, a joint de…
math.NA2024★ 1 cited
Parameter Selection by GCV and a test within Iterative Methods for -regularized Inverse Problems
Brian Sweeney, Rosemary Renaut, Malena Español
regularization is used to preserve edges or enforce sparsity in a solution to an inverse problem. We investigate the Split Bregman and the Majorization-Minimization iterat…
math.NA2024
Convergence Analysis of a Variable Projection Method for Regularized Separable Nonlinear Inverse Problems
Malena I. Español, Gabriela Jeronimo
Variable projection methods prove highly efficient in solving separable nonlinear least squares problems by transforming them into a reduced nonlinear least squares problem, typica…