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Relationship of several variational methods for the approximate solution of ill-posed problems

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Abstract

A study is made of the relationship among three known methods for the approximate solution of linear operator equations of the first kind.

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Literature cited

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Additional information

Translated from Matematicheskie Zametki, Vol. 7, No. 3, pp. 265–272, March, 1970.

I wish to express my deep gratitude to V. K. Ivanov for his interest in my work and for valuable remarks.

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Vasin, V.V. Relationship of several variational methods for the approximate solution of ill-posed problems. Mathematical Notes of the Academy of Sciences of the USSR 7, 161–165 (1970). https://doi.org/10.1007/BF01093105

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Keywords

  • Linear Operator
  • Approximate Solution
  • Variational Method
  • Operator Equation
  • Linear Operator Equation