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r-solution of an operator equation in Hilbert space and its application to solve ill-posed problem

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Author(s)
Doledjenok Vadim,
Kostin Viktor,
Tcheverda Vladimir
Abstract

The notion of the r-solution for a system of linear equation in the finite dimensional Euclidean space generalizes for an equation in Hilbert space with a compact operator. The Hadamard correctness of r-solution is proved (i.e., its stability with respect to perturbation of right-hand side and operator).

File
doledjenok.pdf3.33 MB
Issue
Mathematical Modeling in Geophysics, № 1, 1994
Pages
49-63
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    • About
      • Journal
      • Editorial
      • ISSN
    • Series
      • Computer Science
      • Mathematical Modeling in Geophysics
      • Numerical Analysis
      • Numerical Modeling in Atmosphere, Ocean, and Environment Studies
    • Search
    • Authors
    • Submission
    • Contacts
    • Search