On the informational and algorithmic complexities of some classes of Fredholm equations of the first kind

Authors

  • M. О. Perestyuk
  • Yu. S. Mishura
  • О.Yu. Ragulina

DOI:

https://doi.org/10.15407/dopovidi2014.09.025

Keywords:

algorithmic complexities of classes, Fredholm equations

Abstract

The problems of minimization of computational efforts for the numerical solving of severely ill-posed problems are studied. A projection scheme of discretization, which is economical in a sense of used harmonics, is presented. Due to the scheme, the order estimates of the quantities characterizing the informational and algorithmic complexities are obtained.

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References

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Published

06.03.2025

How to Cite

Perestyuk M. О., Mishura, Y. S., & Ragulina О. (2025). On the informational and algorithmic complexities of some classes of Fredholm equations of the first kind . Reports of the National Academy of Sciences of Ukraine, (9), 25–32. https://doi.org/10.15407/dopovidi2014.09.025