Tikhonov and Variational Regularization
Classical regularization theory and convergence rates.
Tikhonov and Variational Regularization. Classical regularization theory and convergence rates.
Foundations and canonical references
The standard treatments of tikhonov and variational regularization approach the subject from complementary angles. Engl, Regularization of Inverse Problems (1996) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for tikhonov and variational regularization include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 1996Regularization of Inverse Problemsengl-1996, hanke-1996, neubauer-1996
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