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Regularization tools

swMATH ID: 797
Software Authors: Per Christian Hansen
Description: Regularization Tools: A MATLAB package for Analysis and Solution of Discrete Ill-Posed Problems. Version 4.1. By means of the routines in this package, the user can experiment with different regularization strategies. The package also includes 12 test problems. Requires Matlab Version 7.3. The manual and more details can be found at http://www2.imm.dtu.dk/ pch/Regutools/
Homepage: http://www2.imm.dtu.dk/~pch/Regutools/
Programming Languages: Matlab
Dependencies: Matlab Version 7.3
Keywords: overdetermined systems; improperly posed problems; regularization methods; discrete ill-posed problems; Matlab routines; Fredholm integral equation of the first kind; linear least squares problems; singular value decomposition; regularization parameter
Related Software: UTV; LSQR; Matlab; IR Tools; AIR tools; RestoreTools; ErresTools; VanHuffel; corner.m; mctoolbox; ARPACK; LSMR; GKB-FP; rrgmrestbx; LAPACK; cosereg; GQTPAR; lbdtik; HyBR; SparseMatrix
Cited in: 758 Publications
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Cited by 1,028 Authors

98 Reichel, Lothar
24 Hansen, Per Christian
17 Rodriguez, Giuseppe
17 Sgallari, Fiorella
16 Morigi, Serena
16 Nagy, James Gerard
15 Calvetti, Daniela
15 Marin, Liviu
14 Gazzola, Silvia
14 Sadok, Hassane
13 Chung, Julianne M.
13 Jbilou, Khalide
13 Novati, Paolo
12 Buccini, Alessandro
12 Lu, Shuai
12 Viloche Bazán, Fermín S.
11 Hon, Yiu-Chung
11 Jin, Bangti
11 Noschese, Silvia
11 Wei, Ting
10 Chen, Wen
10 Hämarik, Uno
10 Hochstenbach, Michiel E.
10 O’Leary, Dianne P.
10 Pereverzev, Sergei V.
10 Renaut, Rosemary Anne
8 Beck, Amir
8 Donatelli, Marco
8 Jia, Zhongxiao
8 Kilmer, Misha Elena
8 Li, Junpu
8 Raus, Toomas
7 El-Guide, Mohamed
7 Fu, Zhuojia
7 Gratton, Serge
7 Huang, Guang-Xin
7 Landi, Germana
7 Wei, Yimin
6 Brezinski, Claude
6 Lampe, Jörg
6 Lesnic, Daniel
6 Li, Ming
6 Loli Piccolomini, Elena
6 Needell, Deanna
6 Palm, Reimo
6 Qin, Qinghua
6 Redivo-Zaglia, Michela
6 Seatzu, Sebastiano
6 Tautenhahn, Ulrich
6 Voss, Heinrich
6 Yang, Fenglian
6 Zama, Fabiana
5 Bentbib, Abdeslem Hafid
5 Dykes, Laura
5 Mathé, Peter
5 Salahi, Maziar
5 Toint, Philippe L.
5 Van Huffel, Sabine
5 Wang, Fuzhang
5 Yan, Liang
5 Yin, Feng
5 Zou, Jun
4 Ben-Tal, Aharon
4 Borges, Leonardo Silveira
4 Chorfi, Lahcène
4 DeLillo, Thomas K.
4 Foster, Leslie V.
4 Fu, Chuli
4 Golub, Gene Howard
4 Gu, Yan
4 Huckle, Thomas Kilian
4 Lanza, Alessandro
4 Lewis, Bryan W.
4 Liu, Jijun
4 Mead, Jodi L.
4 Miller, Eric L.
4 Mitrouli, Marilena
4 Qin, Haihua
4 Revunova, E. G.
4 Rojas, Marielba
4 Russo, Maria Rosaria
4 Shuibi, A.
4 Shyshkov, Andriy
4 Somersalo, Erkki
4 Wang, Zewen
4 Xia, Yong
4 Yamamoto, Masahiro
4 Yu, Xuebo
3 Aminikhah, Hossein
3 Barlow, Jesse L.
3 Chan, Raymond Hon-Fu
3 Chen, Ching-Shyang
3 Chung, Matthias
3 Cornelio, Anastasia
3 Deng, Liangjian
3 Ding, Liang
3 Dong, Yiqiu
3 Dou, Fangfang
3 Fenu, Caterina
3 Francisco, Juliano B.
...and 928 more Authors
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Cited in 147 Serials

60 Inverse Problems
60 Journal of Computational and Applied Mathematics
48 Numerical Algorithms
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33 BIT
32 SIAM Journal on Scientific Computing
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23 SIAM Journal on Matrix Analysis and Applications
22 Applied Numerical Mathematics
21 Numerical Linear Algebra with Applications
20 Linear Algebra and its Applications
19 Inverse Problems in Science and Engineering
15 Journal of Computational Physics
13 ETNA. Electronic Transactions on Numerical Analysis
12 International Journal for Numerical Methods in Engineering
11 Computers & Mathematics with Applications
11 Journal of Scientific Computing
8 Calcolo
8 Applied Mathematical Modelling
8 SIAM Journal on Imaging Sciences
7 Journal of Inverse and Ill-Posed Problems
6 Computer Methods in Applied Mechanics and Engineering
6 Journal of Engineering Mathematics
6 Numerische Mathematik
6 Computational Statistics and Data Analysis
5 Mathematics and Computers in Simulation
5 Computational and Applied Mathematics
4 International Journal of Heat and Mass Transfer
4 SIAM Journal on Numerical Analysis
4 Applied Mathematics Letters
4 Journal of Integral Equations and Applications
4 Journal of Mathematical Imaging and Vision
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4 Optimization Methods & Software
4 International Journal of Applied Mathematics and Computer Science
4 Journal of Applied Mathematics and Computing
4 Advances in Applied Mathematics and Mechanics
3 Applicable Analysis
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3 ACM Transactions on Mathematical Software
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3 Journal of Computational Acoustics
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3 Advances in Mathematical Physics
3 SIAM/ASA Journal on Uncertainty Quantification
2 Computers and Fluids
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2 Applied and Computational Harmonic Analysis
2 Advances in Computational Mathematics
2 Abstract and Applied Analysis
2 Taiwanese Journal of Mathematics
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2 Computational Methods in Applied Mathematics
2 International Journal of Computational Methods
2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Operations Research Letters
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Cited in 36 Fields

607 Numerical analysis (65-XX)
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62 Operator theory (47-XX)
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42 Mechanics of deformable solids (74-XX)
39 Integral equations (45-XX)
38 Statistics (62-XX)
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32 Fluid mechanics (76-XX)
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28 Optics, electromagnetic theory (78-XX)
28 Biology and other natural sciences (92-XX)
23 Calculus of variations and optimal control; optimization (49-XX)
18 Systems theory; control (93-XX)
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11 Integral transforms, operational calculus (44-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
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5 Ordinary differential equations (34-XX)
5 Probability theory and stochastic processes (60-XX)
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4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
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