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Multilevel algorithms for ill-posed problems (1992)

King, J. Thomas

Springer

Numerische Mathematik 61 (1992), S. 311-334

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ISSN: 0945-3245

Keywords: 65R20

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Summary In this paper new multilevel algorithms are proposed for the numerical solution of first kind operator equations. Convergence estimates are established for multilevel algorithms applied to Tikhonov type regularization methods. Our theory relates the convergence rate of these algorithms to the minimal eigenvalue of the discrete version of the operator and the regularization parameter. The algorithms and analysis are presented in an abstract setting that can be applied to first kind integral equations.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01385512

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