Bounds for perturbed solutions of linear operator equations in Hilbert space

  • Authors:

  • Jiu Ding;Yimin Wei

  • Affiliations:

  • Department of Mathematics, The University of Southern Mississipi, Hattiesburg, MS;Department of Mathematics, Fudan University, Shanghai, 200433, China

  • Venue:
  • Applied Mathematics and Computation
  • Year:
  • 2002

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Abstract

Some perturbation results on relative errors of solutions to singular linear operator equations in Hilbert space are given for consistent systems and for weighted least-squares problems with the help of weighted generalized inverses.