On simplified Tikhonov regularization
Copyright policy )On simplified Tikhonov regularization
Approximations to the minimal norm, least-square solution of a linear equation with positive semidefinite operator are defined in such a way that fewer computations are needed than in Tikhonov's approach. We establish necessary and sufficient conditions for convergence, and we provide a choice for the regularization parameter \(\alpha\) that brings the optimal rate of convergence.
- University of Puerto Rico System United States
ill-posed problems, positive semidefinite operator, Numerical solutions to equations with linear operators, Tikhonov regularization, minimal norm, least-square solution, Equations and inequalities involving linear operators, with vector unknowns, optimal rate of convergence
ill-posed problems, positive semidefinite operator, Numerical solutions to equations with linear operators, Tikhonov regularization, minimal norm, least-square solution, Equations and inequalities involving linear operators, with vector unknowns, optimal rate of convergence
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