Stability of Solutions to Linear Operator Equations of the First and Second Kinds Under Perturbation of the Operator with Rank Change-Reference-Cited by-同舟云学术

Stability of Solutions to Linear Operator Equations of the First and Second Kinds Under Perturbation of the Operator with Rank Change

Published:1981 Issue: Volume: Page:13-28
ISSN:0172-7788
Container-title:Mathematical Aspects of Computerized Tomography
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Author:

Engl Heinz W.

Publisher

Springer Berlin Heidelberg

Link

http://link.springer.com/content/pdf/10.1007/978-3-642-93157-4_3.pdf

Reference8 articles.

1. H.W. Engl and R.Kress, A singular perturbation problem for linear operators with an application to electrostatic and magneto-static boundary and transmission problems, to appear.

2. H.W.Engl and M.Z. Nashed, New extremal characterizations of generalized inverses of linear operators, to appear.

3. C.W. Groetsch, Regularization of ill-posed problems, Technical Report AFFDL-TR-78–129, U.S. Air Force Flight Dynamics Laboratory, Wright-Patterson Air Force Base, Ohio 45433 (1978).

4. R.Kress, On the limiting behaviour of solutions to boundary integral equations associated with time harmonic wave equations for small frequencies, Math.Meth.Appl.Sci. 1 (1979), 89–100.

5. R.H.Moore and M.Z.Nashed, Approximations to generalized inverses of linear operators, SIAM J.Appl. Math. 27 (1974), 1–16.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Theory and the methods of solution of ill-posed problems;Journal of Soviet Mathematics;1986-08

2. On the Convergence of Regularization Methods for Ill-Posed Linear Operator Equations;Improperly Posed Problems and Their Numerical Treatment;1983