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An information-based approach to ill-posed problems

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Publication:1100852
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DOI10.1016/0885-064X(87)90016-1zbMath0641.65049MaRDI QIDQ1100852

Arthur G. Werschulz

Publication date: 1987

Published in: Journal of Complexity (Search for Journal in Brave)


zbMATH Keywords

survey paperresidual errorabsolute errorerror criteriafinite errorill-posed linear problemsworst case and average case settings


Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05)


Related Items (1)

Complexity of linear ill-posed problems in Hilbert space




Cites Work

  • Average case optimal algorithms in Hilbert spaces
  • A comparison of GCV and GML for choosing the smoothing parameter in the generalized spline smoothing problem
  • Probabilistic setting of information-based complexity
  • Gaussian measures in Banach spaces
  • Information of varying cardinality
  • Improperly posed problems and their numerical treatment. Conference Held at the Mathematisches Forschungsinstitut, Oberwolfach, September 26 - October 2, 1982
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