Document Zbl 0696.65096

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A constrained least squares regularization method for nonlinear ill-posed problems. (English) Zbl 0696.65096

SIAM J. Control Optimization 28, No. 1, 34-49 (1990).

The author introduces a constrained least squares regularization method for solving nonlinear ill-posed problems in a Hilbert space setting. Application to a severely ill-posed nonlinear first kind integral equation arising in geophysics is also given.

Reviewer: A.Galántai

Cited in 1 Review

Cited in 10 Documents

MSC:

65R20	Numerical methods for integral equations
45G10	Other nonlinear integral equations

Keywords:

inverse problems; constrained optimization; constrained least squares regularization method; nonlinear ill-posed problems; Hilbert space; ill- posed nonlinear first kind integral equation; geophysics

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