On Regularized Least Norm Problems

DOI10.1137/0802029zbMath0767.65034OpenAlexW2011307855MaRDI QIDQ4015446

Achiya Dax

Publication date: 13 January 1993

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0802029

zbMATH Keywords

dual problemregularizationoptimality conditionsduality relationsinconsistent linear systemsleast norm problemsill- posednessbehavior of regularized solutions

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical mathematical programming methods (65K05) Convex programming (90C25)

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Asymptotically optimal row-action methods for generalized least squares problems ⋮ Duality theorem for a generalized Fermat-Weber problem ⋮ Theorems of the alternative and duality ⋮ Generalized solution of linear systems and image restoration ⋮ The relationship between theorems of the alternative, least norm problems, steepest descent directions, and degeneracy: A review

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