Russian Mathematics

, Volume 61, Issue 4, pp 65–71 | Cite as

A regularized method for solving constrained pseudoinverse problems

  • R. A. Shafiev
  • E. A. Bondar’
  • I. Yu. Yastrebova


For a constrained pseudoinverse problem whose operators satisfy the complementarity condition we propose a one-parameter continuous regularization method of the second order. This method is based on stabilization of solutions to Cauchy problems for a linear differential equation of the second order in a Hilbert space which is obtained from the heavy ball method. We establish requirements to the parametric regularization function and perturbation levels that ensure the stability of the method in the class of all possible bounded perturbations.


constrained pseudoinverse problem continuous regularization method of second order complementarity condition for operators 


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© Allerton Press, Inc. 2017

Authors and Affiliations

  • R. A. Shafiev
    • 1
  • E. A. Bondar’
    • 2
  • I. Yu. Yastrebova
    • 3
  1. 1.Nizhni Novgorod State Pedagogical UniversityNizhni NovgorodRussia
  2. 2.Nizhni Novgorod State Architectural and Civil Engineering UniversityNizhni NovgorodRussia
  3. 3.Nizhni Novgorod State UniversityNizhni NovgorodRussia

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