A finite dimensional realization of the mollifier method for compact operator equations
نویسندگان
چکیده
منابع مشابه
A finite dimensional realization of the mollifier method for compact operator equations
We introduce and analyze a stable procedure for the approximation of 〈f†, φ〉 where f† is the least residual norm solution of the minimal norm of the ill-posed equation Af = g, with compact operator A : X → Y between Hilbert spaces, and φ ∈ X has some smoothness assumption. Our method is based on a finite number of singular values of A and some finite rank operators. Our results are in a more ge...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2004
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-04-01707-7