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Hansen, Per Christian

Author ID: hansen.per-christian Recent zbMATH articles by "Hansen, Per Christian"
Published as: Hansen, Per Christian; Hansen, P. C.; Hansen, Per C.; Christian Hansen, Per
External Links: MGP
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Co-Authors

24 single-authored
12 Dong, Yiqiu
9 Fierro, Ricardo D.
7 Chan, Tony Fan-Cheong
6 Elfving, Tommy
6 Jørgensen, Jakob Sauer
6 O’Leary, Dianne P.
6 Zlatev, Zahari
5 Jensen, Søren Holdt
5 Nikazad, Touraj
4 Afkham, Babak Maboudi
4 Brogaard Riis, Nicolai André
4 Jensen, Toke Koldborg
4 Kilmer, Misha Elena
4 Ostromsky, Tzvetan
4 Riis, Nicolai A. B.
4 Uribe, Felipe
4 Yalamov, Plamen Y.
3 Andersen, Martin S.
3 Golub, Gene Howard
3 Hochstenbach, Michiel E.
3 Nagy, James Gerard
3 Sørensen, Hans Henrik B.
2 Alghamdi, Amal Mohammed A
2 Bardsley, Johnathan M.
2 Bischof, Christian H.
2 Christensen, Silja L.
2 Christiansen, Søren
2 Eldén, Lars
2 Hanke-Bourgeois, Martin
2 Jensen, Tobias Lindstrøm
2 Mosegaard, Klaus
2 Petersen, Dan Erik
2 Poulsen, Henning Friis
2 Skelboe, Stig
2 Soltani, Sara
2 Stokbro, Kurt
2 van Lith, Bart S.
2 Waśniewski, Jerzy
1 Abe, Kuniyoshi
1 Batenburg, Kees Joost
1 Bendtsen, Claus
1 Borries, Oscar
1 Calvetti, Daniela
1 Chen, Donghui
1 Dahl, Anders Bjorholm
1 Dahl, Joachim
1 Darve, Eric
1 Delbary, Fabrice
1 Dond, Yiqiu
1 Español, Malena I.
1 Frøsig, J.
1 Gallivan, Kyle A.
1 Garde, Henrik
1 Gazzola, Silvia
1 Gesmar, Henrik
1 Hansen, Peter Søren Kirk
1 Hansen, S. D.
1 Hayami, Ken
1 Jacobson, Bo H.
1 Jørgensen, Erik
1 Jørgensen, Jakob H.
1 Kaae, P.
1 Kazantsev, Ivan G.
1 Keable, C.
1 Kjeldsen, R. H.
1 Kjer, Hans Martin
1 Knudsen, Kim M.
1 Li, Song
1 Lionheart, William Robert Breckon
1 Madsen, Kaj
1 Meincke, Peter
1 Morikuni, Keiichi
1 Nielsen, Hans Bruun
1 Olsen, Ulrik L.
1 Owczarz, Wojciech
1 Pan, Xiaochuan
1 Pinar, Mustafa Çelebi
1 Quinto, Eric Todd
1 Rasmussen, Peter Winkel
1 Reichel, Lothar
1 Rodriguez, Giuseppe
1 Romanov, Mikhail
1 Sameh, Ahmed H.
1 Saunders, Michael A.
1 Saxild-Hansen, Maria
1 Scherer, Godela
1 Sekii, Takashi
1 Shibahashi, Hiromoto
1 Sidky, Emil Y.
1 Sijbers, Jan
1 Sørensen, Henning Osholm
1 Sorensen, John Aa.
1 Sükösd, Zsuzsanna
1 Tigkos, Konstantinos
1 van Duin, Arno C. N.
1 Zha, Hongyuan

Publications by Year

Citations contained in zbMATH Open

105 Publications have been cited 3,455 times in 2,019 Documents Cited by Year
Analysis of discrete ill-posed problems by means of the L-curve. Zbl 0770.65026
Hansen, Per Christian
391
1992
Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems. Zbl 0789.65029
Hansen, Per Christian
314
1994
The use of the \(L\)-curve in the regularization of discrete ill-posed problems. Zbl 0789.65030
Hansen, Per Christian; O’Leary, Dianne Prost
294
1993
Deblurring images. Matrices, spectra, and filtering. Zbl 1112.68127
Hansen, Per Christian; Nagy, James G.; O’Leary, Dianne P.
275
2006
Rank-deficient and discrete ill-posed problems. Numerical aspects of linear inversion. Zbl 0890.65037
Hansen, Per Christian
234
1997
Regularization tools version \(4.0\) for matlab \(7.3\). Zbl 1128.65029
Hansen, Per Christian
219
2007
Discrete inverse problems. Insight and algorithms. Zbl 1197.65054
Hansen, Per Christian
177
2010
Regularization methods for large-scale problems. Zbl 0805.65058
Hanke, Martin; Hansen, Per Christian
162
1993
Tikhonov regularization and total least squares. Zbl 0945.65042
Golub, Gene H.; Hansen, Per Christian; O’Leary, Dianne P.
100
1999
The truncated SVD as a method for regularization. Zbl 0633.65041
Hansen, Per Christian
90
1987
AIR tools – a MATLAB package of algebraic iterative reconstruction methods. Zbl 1241.65042
Hansen, Per Christian; Saxild-Hansen, Maria
68
2012
IR tools: a MATLAB package of iterative regularization methods and large-scale test problems. Zbl 1415.65003
Gazzola, Silvia; Hansen, Per Christian; Nagy, James G.
62
2019
AIR tools II: algebraic iterative reconstruction methods, improved implementation. Zbl 1397.65007
Hansen, Per Christian; Jørgensen, Jakob Sauer
60
2018
Truncated singular value decomposition solutions to discrete ill-posed problems with ill-determined numerical rank. Zbl 0699.65029
Hansen, Per Christian
53
1990
A projection-based approach to general-form Tikhonov regularization. Zbl 1140.65030
Kilmer, Misha E.; Hansen, Per Christian; Español, Malena I.
48
2007
Numerical tools for analysis and solution of Fredholm integral equations of the first kind. Zbl 0782.65153
Hansen, Per Christian
41
1992
Some applications of the rank revealing QR factorization. Zbl 0756.65032
Chan, Tony F.; Hansen, Per Christian
39
1992
The discrete Picard condition for discrete ill-posed problems. Zbl 0723.65147
Hansen, Per Christian
37
1990
Iterative regularization with minimum-residual methods. Zbl 1113.65037
Jensen, T. K.; Hansen, P. C.
32
2007
An adaptive pruning algorithm for the discrete L-curve criterion. Zbl 1101.65044
Hansen, Per Christian; Jensen, Toke Koldborg; Rodriguez, Giuseppe
32
2007
The effective condition number applied to error analysis of certain boundary collocation methods. Zbl 0834.65033
Christiansen, Søren; Hansen, Per Christian
31
1994
Regularization, GSVD and truncated GSVD. Zbl 0682.65021
Hansen, Per Christian
30
1989
Regularization by truncated total least squares. Zbl 0891.65040
Fierro, R. D.; Golub, G. H.; Hansen, P. C.; O’Leary, D. P.
30
1997
Deconvolution and regularization with Toeplitz matrices. Zbl 1002.65145
Hansen, Per Christian
30
2002
\(L\)-curve curvature bounds via Lanczos bidiagonalization. Zbl 1029.65041
Calvetti, D.; Hansen, P. C.; Reichel, L.
30
2002
Exploiting residual information in the parameter choice for discrete ill-posed problems. Zbl 1091.65038
Hansen, P. C.; Kilmer, M. E.; Kjeldsen, R. H.
27
2006
Semi-convergence properties of Kaczmarz’s method. Zbl 1296.65054
Elfving, Tommy; Hansen, Per Christian; Nikazad, Touraj
26
2014
Semi-convergence and relaxation parameters for a class of SIRT algorithms. Zbl 1205.65148
Elfving, Tommy; Nikazad, Touraj; Hansen, Per Christian
23
2010
The modified truncated SVD method for regularization in general form. Zbl 0760.65044
Hansen, Per Christian; Sekii, Takashi; Shibahashi, Hiromoto
21
1992
Computation of the singular value expansion. Zbl 0631.65133
Hansen, P. C.
20
1988
A look-ahead Levinson algorithm for general Toeplitz systems. Zbl 0756.65044
Chan, Tony F.; Hansen, Per C.
20
1992
Least squares data fitting with applications. Zbl 1270.65008
Hansen, Per Christian; Pereyra, Víctor; Scherer, Godela
20
2013
Smoothing-norm preconditioning for regularizing minimum-residual methods. Zbl 1154.65028
Hansen, Per Christian; Jensen, Toke Koldborg
19
2006
Noise propagation in regularizing iterations for image deblurring. Zbl 1171.65032
Hansen, Per Christian; Jensen, Toke Koldborg
19
2008
Semiconvergence and relaxation parameters for projected SIRT algorithms. Zbl 1254.65044
Elfving, Tommy; Hansen, Per Christian; Nikazad, Touraj
19
2012
A tensor-based dictionary learning approach to tomographic image reconstruction. Zbl 1355.65036
Soltani, Sara; Kilmer, Misha E.; Hansen, Per Christian
16
2016
Algorithms and software for total variation image reconstruction via first-order methods. Zbl 1181.94009
Dahl, Joachim; Hansen, Per Christian; Jensen, Søren Holdt; Jensen, Tobias Lindstrøm
15
2010
A look-ahead Levinson algorithm for indefinite Toeplitz systems. Zbl 0752.65020
Chan, Tony F.; Hansen, Per Christian
15
1992
Implementation of an optimal first-order method for strongly convex total variation regularization. Zbl 1256.65063
Jensen, T. L.; Jørgensen, J. H.; Hansen, P. C.; Jensen, S. H.
15
2012
Subspace preconditioned LSQR for discrete ill-posed problems. Zbl 1046.65030
Jacobsen, M.; Hansen, P. C.; Saunders, M. A.
14
2003
Computing truncated singular value decomposition least squares solutions by rank revealing QR-factorizations. Zbl 0699.65030
Chan, Tony F.; Hansen, Per Christian
12
1990
Electrical impedance tomography: 3D reconstructions using scattering transforms. Zbl 1238.35183
Delbary, Fabrice; Hansen, Per Christian; Knudsen, Kim
11
2012
Unmatched projector/backprojector pairs: perturbation and convergence analysis. Zbl 1383.65035
Elfving, Tommy; Hansen, Per Christian
11
2018
Low-rank revealing \(UTV\) decompositions. Zbl 0887.65043
Fierro, Ricardo D.; Hansen, Per Christian
11
1997
UTV tools: Matlab templates for rank-revealing UTV decompositions. Zbl 0936.65054
Fierro, Ricardo D.; Hansen, Per Christian; Hansen, Peter Søren Kirk
10
1999
Limited-data x-ray CT for underwater pipeline inspection. Zbl 06858476
Riis, N. A. B.; Frøsig, J.; Dong, Y.; Hansen, P. C.
10
2018
Structure-preserving and rank-revealing \(QR\)-factorizations. Zbl 0739.65031
Bischof, Christian H.; Hansen, Per Christian
10
1991
Multicore performance of block algebraic iterative reconstruction methods. Zbl 1307.65037
Sørensen, Hans Henrik B.; Hansen, Per Christian
10
2014
Oblique projections and standard-form transformations for discrete inverse problems. Zbl 1289.65097
Hansen, Per Christian
9
2013
Generalized row-action methods for tomographic imaging. Zbl 1302.65285
Andersen, Martin S.; Hansen, Per Christian
8
2014
Fixing nonconvergence of algebraic iterative reconstruction with an unmatched backprojector. Zbl 1420.65031
Dong, Yiqiu; Hansen, Per Christian; Hochstenbach, Michiel E.; Brogaard Riis, Nicolai André
8
2019
Block tridiagonal matrix inversion and fast transmission calculations. Zbl 1135.65318
Petersen, Dan Erik; Sørensen, Hans Henrik B.; Hansen, Per Christian; Skelboe, Stig; Stokbro, Kurt
7
2008
Test matrices for regularization methods. Zbl 0820.65020
Hansen, Per Christian
7
1995
Convergence analysis for column-action methods in image reconstruction. Zbl 1366.65116
Elfving, Tommy; Hansen, Per Christian; Nikazad, Touraj
7
2017
Computed tomography. Algorithms, insight, and just enough theory. With contributions by Martin S. Andersen, K. Joost Batenburg, Yiqiu Dond, Eric Todd Quinto and Jan Sijbers. Zbl 1482.94006
7
2021
Computing symmetric rank-revealing decompositions via triangular factorization. Zbl 1017.65039
Hansen, Per Christian; Yalamov, Plamen Y.
6
2001
A hybrid method for the parallel computation of Green’s functions. Zbl 1280.82010
Petersen, Dan Erik; Li, Song; Stokbro, Kurt; Sørensen, Hans Henrik B.; Hansen, Per Christian; Skelboe, Stig; Darve, Eric
6
2009
Perturbation bounds for discrete Tikhonov regularisation. Zbl 0695.65022
Hansen, Per Christian
6
1989
Rotational image deblurring with sparse matrices. Zbl 1302.65055
Hansen, Per Christian; Nagy, James G.; Tigkos, Konstantinos
6
2014
R\(^3\)GMRES: including prior information in GMRES-type methods for discrete inverse problems. Zbl 1307.65049
Dong, Yiqiu; Garde, Henrik; Hansen, Per Christian
6
2014
Regularization Tools Version 3. 0 for Matlab 5. 2. Zbl 0933.65065
Hansen, Per Christian
5
1999
Accuracy of TSVD solutions computed from rank-revealing decompositions. Zbl 0834.65026
Fierro, Ricardo D.; Hansen, Per Christian
5
1995
Reconstruction of single-grain orientation distribution functions for crystalline materials. Zbl 1175.82066
Hansen, Per Christian; Sørensen, Henning Osholm; Sükösd, Zsuzsanna; Poulsen, Henning Friis
5
2009
A locally optimized reordering algorithm and its application to a parallel sparse linear system solver. Zbl 0814.65027
Gallivan, K.; Hansen, P. C.; Ostromsky, Tz.; Zlatev, Z.
5
1995
FORTRAN subroutines for general Toeplitz systems. Zbl 0894.65010
Hansen, Per Christian; Chan, Tony F.
5
1992
Simultaneous tomographic reconstruction and segmentation with class priors. Zbl 1349.92084
Romanov, Mikhail; Dahl, Anders Bjorholm; Dong, Yiqiu; Hansen, Per Christian
5
2016
The 2-norm of random matrices. Zbl 0656.15013
Hansen, Per Christian
4
1988
A spectral geometric model for Compton single scatter in PET based on the single scatter simulation approximation. Zbl 1400.78012
Kazantsev, I. G.; Olsen, U. L.; Poulsen, H. F.; Hansen, P. C.
4
2018
Subspace-based noise reduction for speech signals via diagonal and triangular matrix decompositions: survey and analysis. Zbl 1168.94415
Hansen, Per Christian; Jensen, Søren Holdt
4
2007
An SVD analysis of linear algebraic equations derived from first kind integral equations. Zbl 0577.65116
Hansen, Per Christian; Christiansen, Søren
4
1985
Uncertainty quantification of inclusion boundaries in the context of X-ray tomography. Zbl 1524.65022
Afkham, Babak Maboudi; Dong, Yiqiu; Hansen, Per Christian
4
2023
Hybrid enriched bidiagonalization for discrete ill-posed problems. Zbl 1449.65093
Hansen, Per Christian; Dong, Yiqiu; Abe, Kuniyoshi
4
2019
A coarse-grained parallel QR-factorization algorithm for sparse least squares problems. Zbl 0909.68071
Ostromsky, Tz.; Hansen, P. C.; Zlatev, Z.
3
1998
Minimization of linear functionals defined on solutions of large-scale discrete ill-posed problems. Zbl 1084.65035
Eldén, L.; Hansen, P. C.; Rojas, M.
3
2005
UTV Expansin pack: Special-purpose rank-revealing algorithms. Zbl 1079.65026
Fierro, Ricardo D.; Hansen, Per Christian
3
2005
Regularization and the general Gauss-Markov linear model. Zbl 0722.65020
Zha, Hongyuan; Hansen, Per Christian
3
1990
A block algorithm for computing rank-revealing QR factorizations. Zbl 0761.65029
Bischof, Christian H.; Hansen, Per Christian
3
1992
Fast orthogonal decomposition of rank deficient Toeplitz matrices. Zbl 0779.65027
Hansen, Per Christian; Gesmar, Henrik
3
1993
Empirical average-case relation between undersampling and sparsity in X-ray CT. Zbl 1332.90393
Jørgensen, Jakob S.; Sidky, Emil Y.; Hansen, Per Christian; Pan, Xiaochuan
3
2015
Prewhitening for rank-deficient noise in subspace methods for noise reduction. Zbl 1370.94140
Hansen, Per Christian; Jensen, Søren Holdt
3
2005
User-friendly simultaneous tomographic reconstruction and segmentation with class priors. Zbl 1489.68385
Kjer, Hans Martin; Dong, Yiqiu; Hansen, Per Christian
3
2017
Computed tomography with view angle estimation using uncertainty quantification. Zbl 1503.62009
Brogaard Riis, Nicolai André; Dong, Yiqiu; Hansen, Per Christian
3
2021
MCMC algorithms for computational UQ of nonnegativity constrained linear inverse problems. Zbl 1442.65031
Bardsley, Johnathan M.; Hansen, Per Christian
3
2020
Detection of near-singularity in Cholesky and \(LDL^ T\) factorizations. Zbl 0627.65040
Hansen, Per Christian
2
1987
Rank-deficient prewhitening with quotient SVD and ULV decompositions. Zbl 0901.65026
Hansen, Per Christian
2
1998
Reduction of general broad-band noise in speech by truncated QSVD: Implementation aspects. Zbl 0826.65136
Jensen, S. H.; Hansen, P. C.; Hansen, S. D.; Sørensen, J. A.
2
1995
Piecewise polynomial solutions without a priori break points. Zbl 0906.65056
Hansen, P. C.; Mosegaard, K.
2
1996
Truncated VSV solutions to symmetric rank-deficient problems. Zbl 1018.65054
Fierro, Ricardo D.; Hansen, Per Christian
2
2002
Relations between SVD and GSVD of discrete regularization problems in standard and general form. Zbl 0717.65024
Hansen, Per Christian
2
1990
A twin error gauge for Kaczmarz’s iterations. Zbl 1490.65072
van Lith, Bart S.; Hansen, Per Christian; Hochstenbach, Michiel E.
2
2021
A hybrid Gibbs sampler for edge-preserving tomographic reconstruction with uncertain view angles. Zbl 1502.92005
Uribe, Felipe; Bardsley, Johnathan M.; Dong, Yiqiu; Hansen, Per Christian; Riis, Nicolai A. B.
2
2022
Horseshoe priors for edge-preserving linear Bayesian inversion. Zbl 07695777
Uribe, Felipe; Dong, Yiqiu; Hansen, Per Christian
2
2023
CUQIpy. II: Computational uncertainty quantification for PDE-based inverse problems in Python. Zbl 07813324
Alghamdi, Amal M. A.; Riis, Nicolai A. B.; Afkham, Babak M.; Uribe, Felipe; Christensen, Silja L.; Christian Hansen, Per; Jørgensen, Jakob S.
2
2024
Solution of ill-posed problems by means of truncated SVD. Zbl 0659.65041
Hansen, Per Christian
1
1988
Stabilization by perturbation of a \(4n^{2}\) Toeplitz solver. Zbl 0994.65025
Hansen, Per Christian; Yalamov, Plamen Y.
1
2000
Improving the numerical stability and the performance of a parallel sparse solver. Zbl 0835.65051
van Duin, A. C. N.; Hansen, P. C.; Ostromsky, Tz.; Wijshoff, H.; Zlatev, Z.
1
1995
Symmetric rank revealing factorizations. Zbl 0980.65046
Hansen, P. C.; Yalamov, P. Y.
1
1999
Rank-revealing decompositions of symmetric Toeplitz matrices. Zbl 1003.65019
Hansen, Per Christian; Yalamov, Plamen
1
2001
The Backus-Gilbert method: SVD analysis and fast implementation. Zbl 0815.65137
Hansen, Per Christian
1
1994
Experience with regularizing CG iterations. Zbl 0811.65035
Hansen, Per Christian
1
1994
CUQIpy. II: Computational uncertainty quantification for PDE-based inverse problems in Python. Zbl 07813324
Alghamdi, Amal M. A.; Riis, Nicolai A. B.; Afkham, Babak M.; Uribe, Felipe; Christensen, Silja L.; Christian Hansen, Per; Jørgensen, Jakob S.
2
2024
Uncertainty quantification of inclusion boundaries in the context of X-ray tomography. Zbl 1524.65022
Afkham, Babak Maboudi; Dong, Yiqiu; Hansen, Per Christian
4
2023
Horseshoe priors for edge-preserving linear Bayesian inversion. Zbl 07695777
Uribe, Felipe; Dong, Yiqiu; Hansen, Per Christian
2
2023
A hybrid Gibbs sampler for edge-preserving tomographic reconstruction with uncertain view angles. Zbl 1502.92005
Uribe, Felipe; Bardsley, Johnathan M.; Dong, Yiqiu; Hansen, Per Christian; Riis, Nicolai A. B.
2
2022
GMRES methods for tomographic reconstruction with an unmatched back projector. Zbl 1489.65060
Hansen, Per Christian; Hayami, Ken; Morikuni, Keiichi
1
2022
Computed tomography. Algorithms, insight, and just enough theory. With contributions by Martin S. Andersen, K. Joost Batenburg, Yiqiu Dond, Eric Todd Quinto and Jan Sijbers. Zbl 1482.94006
7
2021
Computed tomography with view angle estimation using uncertainty quantification. Zbl 1503.62009
Brogaard Riis, Nicolai André; Dong, Yiqiu; Hansen, Per Christian
3
2021
A twin error gauge for Kaczmarz’s iterations. Zbl 1490.65072
van Lith, Bart S.; Hansen, Per Christian; Hochstenbach, Michiel E.
2
2021
Computed tomography reconstruction with uncertain view angles by iteratively updated model discrepancy. Zbl 1524.94029
Riis, Nicolai André Brogaard; Dong, Yiqiu; Hansen, Per Christian
1
2021
MCMC algorithms for computational UQ of nonnegativity constrained linear inverse problems. Zbl 1442.65031
Bardsley, Johnathan M.; Hansen, Per Christian
3
2020
IR tools: a MATLAB package of iterative regularization methods and large-scale test problems. Zbl 1415.65003
Gazzola, Silvia; Hansen, Per Christian; Nagy, James G.
62
2019
Fixing nonconvergence of algebraic iterative reconstruction with an unmatched backprojector. Zbl 1420.65031
Dong, Yiqiu; Hansen, Per Christian; Hochstenbach, Michiel E.; Brogaard Riis, Nicolai André
8
2019
Hybrid enriched bidiagonalization for discrete ill-posed problems. Zbl 1449.65093
Hansen, Per Christian; Dong, Yiqiu; Abe, Kuniyoshi
4
2019
AIR tools II: algebraic iterative reconstruction methods, improved implementation. Zbl 1397.65007
Hansen, Per Christian; Jørgensen, Jakob Sauer
60
2018
Unmatched projector/backprojector pairs: perturbation and convergence analysis. Zbl 1383.65035
Elfving, Tommy; Hansen, Per Christian
11
2018
Limited-data x-ray CT for underwater pipeline inspection. Zbl 06858476
Riis, N. A. B.; Frøsig, J.; Dong, Y.; Hansen, P. C.
10
2018
A spectral geometric model for Compton single scatter in PET based on the single scatter simulation approximation. Zbl 1400.78012
Kazantsev, I. G.; Olsen, U. L.; Poulsen, H. F.; Hansen, P. C.
4
2018
Convergence analysis for column-action methods in image reconstruction. Zbl 1366.65116
Elfving, Tommy; Hansen, Per Christian; Nikazad, Touraj
7
2017
User-friendly simultaneous tomographic reconstruction and segmentation with class priors. Zbl 1489.68385
Kjer, Hans Martin; Dong, Yiqiu; Hansen, Per Christian
3
2017
Tomographic image reconstruction using training images. Zbl 1353.65017
Soltani, Sara; Andersen, Martin S.; Hansen, Per Christian
1
2017
A tensor-based dictionary learning approach to tomographic image reconstruction. Zbl 1355.65036
Soltani, Sara; Kilmer, Misha E.; Hansen, Per Christian
16
2016
Simultaneous tomographic reconstruction and segmentation with class priors. Zbl 1349.92084
Romanov, Mikhail; Dahl, Anders Bjorholm; Dong, Yiqiu; Hansen, Per Christian
5
2016
Empirical average-case relation between undersampling and sparsity in X-ray CT. Zbl 1332.90393
Jørgensen, Jakob S.; Sidky, Emil Y.; Hansen, Per Christian; Pan, Xiaochuan
3
2015
Semi-convergence properties of Kaczmarz’s method. Zbl 1296.65054
Elfving, Tommy; Hansen, Per Christian; Nikazad, Touraj
26
2014
Multicore performance of block algebraic iterative reconstruction methods. Zbl 1307.65037
Sørensen, Hans Henrik B.; Hansen, Per Christian
10
2014
Generalized row-action methods for tomographic imaging. Zbl 1302.65285
Andersen, Martin S.; Hansen, Per Christian
8
2014
Rotational image deblurring with sparse matrices. Zbl 1302.65055
Hansen, Per Christian; Nagy, James G.; Tigkos, Konstantinos
6
2014
R\(^3\)GMRES: including prior information in GMRES-type methods for discrete inverse problems. Zbl 1307.65049
Dong, Yiqiu; Garde, Henrik; Hansen, Per Christian
6
2014
Multilevel fast multipole method for higher order discretizations. Zbl 1371.78309
Borries, Oscar; Meincke, Peter; Jørgensen, Erik; Hansen, Per Christian
1
2014
“Plug-and-play” edge-preserving regularization. Zbl 1312.65064
Chen, Donghui; Kilmer, Misha E.; Hansen, Per Christian
1
2014
Least squares data fitting with applications. Zbl 1270.65008
Hansen, Per Christian; Pereyra, Víctor; Scherer, Godela
20
2013
Oblique projections and standard-form transformations for discrete inverse problems. Zbl 1289.65097
Hansen, Per Christian
9
2013
AIR tools – a MATLAB package of algebraic iterative reconstruction methods. Zbl 1241.65042
Hansen, Per Christian; Saxild-Hansen, Maria
68
2012
Semiconvergence and relaxation parameters for projected SIRT algorithms. Zbl 1254.65044
Elfving, Tommy; Hansen, Per Christian; Nikazad, Touraj
19
2012
Implementation of an optimal first-order method for strongly convex total variation regularization. Zbl 1256.65063
Jensen, T. L.; Jørgensen, J. H.; Hansen, P. C.; Jensen, S. H.
15
2012
Electrical impedance tomography: 3D reconstructions using scattering transforms. Zbl 1238.35183
Delbary, Fabrice; Hansen, Per Christian; Knudsen, Kim
11
2012
Discrete inverse problems. Insight and algorithms. Zbl 1197.65054
Hansen, Per Christian
177
2010
Semi-convergence and relaxation parameters for a class of SIRT algorithms. Zbl 1205.65148
Elfving, Tommy; Nikazad, Touraj; Hansen, Per Christian
23
2010
Algorithms and software for total variation image reconstruction via first-order methods. Zbl 1181.94009
Dahl, Joachim; Hansen, Per Christian; Jensen, Søren Holdt; Jensen, Tobias Lindstrøm
15
2010
A hybrid method for the parallel computation of Green’s functions. Zbl 1280.82010
Petersen, Dan Erik; Li, Song; Stokbro, Kurt; Sørensen, Hans Henrik B.; Hansen, Per Christian; Skelboe, Stig; Darve, Eric
6
2009
Reconstruction of single-grain orientation distribution functions for crystalline materials. Zbl 1175.82066
Hansen, Per Christian; Sørensen, Henning Osholm; Sükösd, Zsuzsanna; Poulsen, Henning Friis
5
2009
Noise propagation in regularizing iterations for image deblurring. Zbl 1171.65032
Hansen, Per Christian; Jensen, Toke Koldborg
19
2008
Block tridiagonal matrix inversion and fast transmission calculations. Zbl 1135.65318
Petersen, Dan Erik; Sørensen, Hans Henrik B.; Hansen, Per Christian; Skelboe, Stig; Stokbro, Kurt
7
2008
Regularization tools version \(4.0\) for matlab \(7.3\). Zbl 1128.65029
Hansen, Per Christian
219
2007
A projection-based approach to general-form Tikhonov regularization. Zbl 1140.65030
Kilmer, Misha E.; Hansen, Per Christian; Español, Malena I.
48
2007
Iterative regularization with minimum-residual methods. Zbl 1113.65037
Jensen, T. K.; Hansen, P. C.
32
2007
An adaptive pruning algorithm for the discrete L-curve criterion. Zbl 1101.65044
Hansen, Per Christian; Jensen, Toke Koldborg; Rodriguez, Giuseppe
32
2007
Subspace-based noise reduction for speech signals via diagonal and triangular matrix decompositions: survey and analysis. Zbl 1168.94415
Hansen, Per Christian; Jensen, Søren Holdt
4
2007
Deblurring images. Matrices, spectra, and filtering. Zbl 1112.68127
Hansen, Per Christian; Nagy, James G.; O’Leary, Dianne P.
275
2006
Exploiting residual information in the parameter choice for discrete ill-posed problems. Zbl 1091.65038
Hansen, P. C.; Kilmer, M. E.; Kjeldsen, R. H.
27
2006
Smoothing-norm preconditioning for regularizing minimum-residual methods. Zbl 1154.65028
Hansen, Per Christian; Jensen, Toke Koldborg
19
2006
Minimization of linear functionals defined on solutions of large-scale discrete ill-posed problems. Zbl 1084.65035
Eldén, L.; Hansen, P. C.; Rojas, M.
3
2005
UTV Expansin pack: Special-purpose rank-revealing algorithms. Zbl 1079.65026
Fierro, Ricardo D.; Hansen, Per Christian
3
2005
Prewhitening for rank-deficient noise in subspace methods for noise reduction. Zbl 1370.94140
Hansen, Per Christian; Jensen, Søren Holdt
3
2005
Subspace preconditioned LSQR for discrete ill-posed problems. Zbl 1046.65030
Jacobsen, M.; Hansen, P. C.; Saunders, M. A.
14
2003
Deconvolution and regularization with Toeplitz matrices. Zbl 1002.65145
Hansen, Per Christian
30
2002
\(L\)-curve curvature bounds via Lanczos bidiagonalization. Zbl 1029.65041
Calvetti, D.; Hansen, P. C.; Reichel, L.
30
2002
Truncated VSV solutions to symmetric rank-deficient problems. Zbl 1018.65054
Fierro, Ricardo D.; Hansen, Per Christian
2
2002
Computing symmetric rank-revealing decompositions via triangular factorization. Zbl 1017.65039
Hansen, Per Christian; Yalamov, Plamen Y.
6
2001
Rank-revealing decompositions of symmetric Toeplitz matrices. Zbl 1003.65019
Hansen, Per Christian; Yalamov, Plamen
1
2001
Stabilization by perturbation of a \(4n^{2}\) Toeplitz solver. Zbl 0994.65025
Hansen, Per Christian; Yalamov, Plamen Y.
1
2000
Tikhonov regularization and total least squares. Zbl 0945.65042
Golub, Gene H.; Hansen, Per Christian; O’Leary, Dianne P.
100
1999
UTV tools: Matlab templates for rank-revealing UTV decompositions. Zbl 0936.65054
Fierro, Ricardo D.; Hansen, Per Christian; Hansen, Peter Søren Kirk
10
1999
Regularization Tools Version 3. 0 for Matlab 5. 2. Zbl 0933.65065
Hansen, Per Christian
5
1999
Symmetric rank revealing factorizations. Zbl 0980.65046
Hansen, P. C.; Yalamov, P. Y.
1
1999
A coarse-grained parallel QR-factorization algorithm for sparse least squares problems. Zbl 0909.68071
Ostromsky, Tz.; Hansen, P. C.; Zlatev, Z.
3
1998
Rank-deficient prewhitening with quotient SVD and ULV decompositions. Zbl 0901.65026
Hansen, Per Christian
2
1998
Rank-deficient and discrete ill-posed problems. Numerical aspects of linear inversion. Zbl 0890.65037
Hansen, Per Christian
234
1997
Regularization by truncated total least squares. Zbl 0891.65040
Fierro, R. D.; Golub, G. H.; Hansen, P. C.; O’Leary, D. P.
30
1997
Low-rank revealing \(UTV\) decompositions. Zbl 0887.65043
Fierro, Ricardo D.; Hansen, Per Christian
11
1997
Piecewise polynomial solutions without a priori break points. Zbl 0906.65056
Hansen, P. C.; Mosegaard, K.
2
1996
Test matrices for regularization methods. Zbl 0820.65020
Hansen, Per Christian
7
1995
Accuracy of TSVD solutions computed from rank-revealing decompositions. Zbl 0834.65026
Fierro, Ricardo D.; Hansen, Per Christian
5
1995
A locally optimized reordering algorithm and its application to a parallel sparse linear system solver. Zbl 0814.65027
Gallivan, K.; Hansen, P. C.; Ostromsky, Tz.; Zlatev, Z.
5
1995
Reduction of general broad-band noise in speech by truncated QSVD: Implementation aspects. Zbl 0826.65136
Jensen, S. H.; Hansen, P. C.; Hansen, S. D.; Sørensen, J. A.
2
1995
Improving the numerical stability and the performance of a parallel sparse solver. Zbl 0835.65051
van Duin, A. C. N.; Hansen, P. C.; Ostromsky, Tz.; Wijshoff, H.; Zlatev, Z.
1
1995
Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems. Zbl 0789.65029
Hansen, Per Christian
314
1994
The effective condition number applied to error analysis of certain boundary collocation methods. Zbl 0834.65033
Christiansen, Søren; Hansen, Per Christian
31
1994
The Backus-Gilbert method: SVD analysis and fast implementation. Zbl 0815.65137
Hansen, Per Christian
1
1994
Experience with regularizing CG iterations. Zbl 0811.65035
Hansen, Per Christian
1
1994
The use of the \(L\)-curve in the regularization of discrete ill-posed problems. Zbl 0789.65030
Hansen, Per Christian; O’Leary, Dianne Prost
294
1993
Regularization methods for large-scale problems. Zbl 0805.65058
Hanke, Martin; Hansen, Per Christian
162
1993
Fast orthogonal decomposition of rank deficient Toeplitz matrices. Zbl 0779.65027
Hansen, Per Christian; Gesmar, Henrik
3
1993
Analysis of discrete ill-posed problems by means of the L-curve. Zbl 0770.65026
Hansen, Per Christian
391
1992
Numerical tools for analysis and solution of Fredholm integral equations of the first kind. Zbl 0782.65153
Hansen, Per Christian
41
1992
Some applications of the rank revealing QR factorization. Zbl 0756.65032
Chan, Tony F.; Hansen, Per Christian
39
1992
The modified truncated SVD method for regularization in general form. Zbl 0760.65044
Hansen, Per Christian; Sekii, Takashi; Shibahashi, Hiromoto
21
1992
A look-ahead Levinson algorithm for general Toeplitz systems. Zbl 0756.65044
Chan, Tony F.; Hansen, Per C.
20
1992
A look-ahead Levinson algorithm for indefinite Toeplitz systems. Zbl 0752.65020
Chan, Tony F.; Hansen, Per Christian
15
1992
FORTRAN subroutines for general Toeplitz systems. Zbl 0894.65010
Hansen, Per Christian; Chan, Tony F.
5
1992
A block algorithm for computing rank-revealing QR factorizations. Zbl 0761.65029
Bischof, Christian H.; Hansen, Per Christian
3
1992
Structure-preserving and rank-revealing \(QR\)-factorizations. Zbl 0739.65031
Bischof, Christian H.; Hansen, Per Christian
10
1991
Truncated singular value decomposition solutions to discrete ill-posed problems with ill-determined numerical rank. Zbl 0699.65029
Hansen, Per Christian
53
1990
The discrete Picard condition for discrete ill-posed problems. Zbl 0723.65147
Hansen, Per Christian
37
1990
Computing truncated singular value decomposition least squares solutions by rank revealing QR-factorizations. Zbl 0699.65030
Chan, Tony F.; Hansen, Per Christian
12
1990
Regularization and the general Gauss-Markov linear model. Zbl 0722.65020
Zha, Hongyuan; Hansen, Per Christian
3
1990
Relations between SVD and GSVD of discrete regularization problems in standard and general form. Zbl 0717.65024
Hansen, Per Christian
2
1990
Regularization, GSVD and truncated GSVD. Zbl 0682.65021
Hansen, Per Christian
30
1989
Perturbation bounds for discrete Tikhonov regularisation. Zbl 0695.65022
Hansen, Per Christian
6
1989
Computation of the singular value expansion. Zbl 0631.65133
Hansen, P. C.
20
1988
...and 5 more Documents
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Cited by 3,112 Authors

110 Reichel, Lothar
45 Hansen, Per Christian
35 Lesnic, Daniel
29 Nagy, James Gerard
28 Wei, Ting
26 Wei, Yimin
25 Jbilou, Khalide
24 Sgallari, Fiorella
21 Buccini, Alessandro
21 Donatelli, Marco
20 Marin, Liviu
19 Gazzola, Silvia
19 Loli Piccolomini, Elena
19 Morigi, Serena
18 Chen, Wen
18 Rodriguez, Giuseppe
18 Sadok, Hassane
17 Chung, Julianne M.
17 Huang, Ting-Zhu
17 Li, Zi-Cai
15 Huang, Hung-Tsai
15 Lv, Xiaoguang
14 Landi, Germana
14 Ng, Michael Kwok-Po
13 Hochstenbach, Michiel E.
13 Jia, Zhongxiao
13 Johansson, B. Tomas
13 Zhao, Xile
12 Hon, Yiu-Chung
12 Lu, Shuai
12 Novati, Paolo
12 Ramlau, Ronny
11 Bouhamidi, Abderrahman
11 Dong, Yiqiu
11 Fu, Zhuojia
11 Ingham, Derek Binns
11 Jin, Bangti
11 Noschese, Silvia
11 Viloche Bazán, Fermín S.
10 Bentbib, Abdeslem Hafid
10 Calvetti, Daniela
10 Elliott, Lionel
10 Fu, Chuli
10 Karageorghis, Andreas
10 Li, Junpu
10 Renaut, Rosemary Anne
10 Yuan, Xiaoming
10 Zhang, Wenxing
9 Han, Deren
9 Huang, Guang-Xin
9 Lanza, Alessandro
8 Andersen, Martin S.
8 Huang, Jin
8 Jin, Qinian
8 Ling, Leevan
8 Lü, Zhongrong
8 Nikazad, Touraj
8 Pourgholi, Reza
8 Ruthotto, Lars
8 Serra-Capizzano, Stefano
8 Sun, Liangliang
8 Tautenhahn, Ulrich
8 Van Barel, Marc
8 Zama, Fabiana
8 Zhang, Jianjun
7 Chung, Matthias
7 Elfving, Tommy
7 Gu, Yan
7 Hämarik, Uno
7 Huntul, Mousa J.
7 Kilmer, Misha Elena
7 Mitrouli, Marilena
7 Qin, Qinghua
7 Van Huffel, Sabine
7 Winkler, Joab R.
6 Bonettini, Silvia
6 Cheng, Xiaoliang
6 Dykes, Laura
6 Haber, Eldad
6 Han, Weimin
6 Hanke-Bourgeois, Martin
6 Hayami, Ken
6 Huckle, Thomas Kilian
6 Jørgensen, Jakob Sauer
6 Khojasteh Salkuyeh, Davod
6 Li, Ming
6 Liu, Jun
6 Luttman, Aaron
6 Ma, Yunjie
6 Needell, Deanna
6 O’Leary, Dianne P.
6 Pasha, Mirjeta
6 Pereverzev, Sergei V.
6 Porta, Federica
6 Pragliola, Monica
6 Raus, Toomas
6 Reeve, Thomas
6 Wang, Li
6 Wang, Yushun
6 Wen, Youwei
...and 3,012 more Authors
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