# Regularization of linear least squares problems by total bounded variation

ESAIM: Control, Optimisation and Calculus of Variations (1997)

- Volume: 2, page 359-376
- ISSN: 1292-8119

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top## How to cite

topChavent, G., and Kunisch, K.. "Regularization of linear least squares problems by total bounded variation." ESAIM: Control, Optimisation and Calculus of Variations 2 (1997): 359-376. <http://eudml.org/doc/90513>.

@article{Chavent1997,

author = {Chavent, G., Kunisch, K.},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {asymptotic analysis; functions of bounded variation; regularization of linear least-squares problems; necessary optimality conditions},

language = {eng},

pages = {359-376},

publisher = {EDP Sciences},

title = {Regularization of linear least squares problems by total bounded variation},

url = {http://eudml.org/doc/90513},

volume = {2},

year = {1997},

}

TY - JOUR

AU - Chavent, G.

AU - Kunisch, K.

TI - Regularization of linear least squares problems by total bounded variation

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 1997

PB - EDP Sciences

VL - 2

SP - 359

EP - 376

LA - eng

KW - asymptotic analysis; functions of bounded variation; regularization of linear least-squares problems; necessary optimality conditions

UR - http://eudml.org/doc/90513

ER -

## References

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- [3] E. Casas, K. Kunisch, C. Pola: Regularization by functions of bounded variation and applications to image enhancement, preprint. Zbl0942.49014MR1692383
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- [7] C. W. Groetsch: The Theory of Tikhonov Regularization for Fredholm Equations of the First Kind, Pitman, Boston, 1984. Zbl0545.65034MR742928
- [8] A. K. Louis: Inverse und schlechtgestellte Probleme, Teubner, Stuttgart, 1989. Zbl0667.65045MR1002946
- [9] V. G. Mazja: Sobolev Spaces, Springer, Berlin, 1985. MR817985
- [10] W. Rudin: Real and Complex Analysis, McGraw Hill, London, 1970. Zbl0925.00005
- [11] L. Rudin, S. Osher, E. Fatemi: Nonlinear total variation based noise removal algorithm, Physica D, 60 ( 1992), 259-268. Zbl0780.49028
- [12] R. Temam: Mathematical Problems in Plasticity, Gauthier-Villars, Kent, 1985. Zbl0457.73017MR711964
- [13] C. Vogel, M. Oman: Iterative methods for total variation denoising, preprint. Zbl0847.65083MR1375276

## Citations in EuDML Documents

top- Wolfgang Ring, Structural properties of solutions to total variation regularization problems
- Wolfgang Ring, Structural Properties of Solutions to Total Variation Regularization Problems
- Christian Clason, Karl Kunisch, A duality-based approach to elliptic control problems in non-reflexive Banach spaces
- Christian Clason, Karl Kunisch, A duality-based approach to elliptic control problems in non-reflexive Banach spaces

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