Approximation of generalized inverses by iterated regularization
- 1 January 1979
- journal article
- research article
- Published by Taylor & Francis in Numerical Functional Analysis and Optimization
- Vol. 1 (5) , 499-513
- https://doi.org/10.1080/01630567908816031
Abstract
Approximations to the Moore-Penrose generalized inverse are obtained via iteration in the application of regularization. Uniform error bounds are obtained for linear operators with closed range. For operators with arbitrary range pointwise error estimates are derived assuming certain smoothness conditions on the data. The stability of the iteration is considered and error bounds are obtained for“noisy”data.Keywords
This publication has 2 references indexed in Scilit:
- New error bounds for the penalty method and extrapolationNumerische Mathematik, 1974
- An iterative method for solving incorrectly posed problemsUSSR Computational Mathematics and Mathematical Physics, 1974