Spelling suggestions: "subject:"1degree off illposedness"" "subject:"1degree off wellposedness""
1 |
New results on the degree of ill-posedness for integration operators with weightsHofmann, Bernd, von Wolfersdorf, Lothar 16 May 2008 (has links) (PDF)
We extend our results on the degree of ill-posedness for linear integration opera-
tors A with weights mapping in the Hilbert space L^2(0,1), which were published in
the journal 'Inverse Problems' in 2005 ([5]). Now we can prove that the degree one
also holds for a family of exponential weight functions. In this context, we empha-
size that for integration operators with outer weights the use of the operator AA^*
is more appropriate for the analysis of eigenvalue problems and the corresponding
asymptotics of singular values than the former use of A^*A.
|
2 |
Ill-Posedness Aspects of Some Nonlinear Inverse Problems and their LinearizationsFleischer, G., Hofmann, B. 30 October 1998 (has links) (PDF)
In this paper we deal with aspects of
characterizing the ill-posedn ess of nonlinear
inverse problems based on the discussion of
specific examples. In particular, a parameter
identification problem to a second order
differential equation and its ill-posed
linear components are under consideration.
A new approach to the classification
ofill-posedness degrees for multiplication
operators completes the paper.
|
3 |
Ill-Posedness Aspects of Some Nonlinear Inverse Problems and their LinearizationsFleischer, G., Hofmann, B. 30 October 1998 (has links)
In this paper we deal with aspects of
characterizing the ill-posedn ess of nonlinear
inverse problems based on the discussion of
specific examples. In particular, a parameter
identification problem to a second order
differential equation and its ill-posed
linear components are under consideration.
A new approach to the classification
ofill-posedness degrees for multiplication
operators completes the paper.
|
4 |
New results on the degree of ill-posedness for integration operators with weightsHofmann, Bernd, von Wolfersdorf, Lothar 16 May 2008 (has links)
We extend our results on the degree of ill-posedness for linear integration opera-
tors A with weights mapping in the Hilbert space L^2(0,1), which were published in
the journal 'Inverse Problems' in 2005 ([5]). Now we can prove that the degree one
also holds for a family of exponential weight functions. In this context, we empha-
size that for integration operators with outer weights the use of the operator AA^*
is more appropriate for the analysis of eigenvalue problems and the corresponding
asymptotics of singular values than the former use of A^*A.
|
Page generated in 0.0659 seconds