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Hansen, Per Christian

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Author ID: hansen.per-christian Recent zbMATH articles by "Hansen, Per Christian"
Published as: Hansen, Per Christian; Hansen, P. C.; Hansen, Per C.
External Links: MGP
Documents Indexed: 113 Publications since 1985, including 5 Books
all top 5

Co-Authors

24 single-authored
9 Fierro, Ricardo D.
7 Chan, Tony Fan-Cheong
7 Dong, Yiqiu
6 Elfving, Tommy
6 O’Leary, Dianne P.
6 Zlatev, Zahari
5 Jensen, Søren Holdt
5 Nikazad, Touraj
4 Jensen, Toke Koldborg
4 Kilmer, Misha E.
4 Ostromsky, Tzvetan
4 Yalamov, Plamen Y.
3 Brogaard Riis, Nicolai André
3 Golub, Gene Howard
3 Nagy, James Gerard
3 Sørensen, Hans Henrik B.
2 Andersen, Martin S.
2 Bischof, Christian H.
2 Christiansen, Søren
2 Eldén, Lars
2 Hanke-Bourgeois, Martin
2 Hochstenbach, Michiel E.
2 Jensen, Tobias Lindstrøm
2 Jørgensen, Jakob Sauer
2 Mosegaard, Klaus
2 Petersen, Dan Erik
2 Poulsen, Henning Friis
2 Skelboe, Stig
2 Soltani, Sara
2 Stokbro, Kurt
2 Waśniewski, Jerzy
1 Abe, Kuniyoshi
1 Bardsley, Johnathan M.
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 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 Jacobson, Bo H.
1 Jørgensen, Erik
1 Jørgensen, J. H.
1 Kaae, P.
1 Kazantsev, Ivan G.
1 Keable, C.
1 Kjeldsen, R. H.
1 Knudsen, Kim M.
1 Li, Song
1 Madsen, Kaj
1 Meincke, Peter
1 Nielsen, Hans Bruun
1 Olsen, Ulrik L.
1 Owczarz, Wojciech
1 Pan, Xiaochuan
1 Pinar, Mustafa Çelebi
1 Reichel, Lothar
1 Riis, N. A. B.
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 Sørensen, Henning Osholm
1 Sorensen, John Aa.
1 Sükösd, Zsuzsanna
1 Tigkos, Konstantinos
1 van Duin, Arno C. N.
1 van Lith, Bart S.
1 Zha, Hongyuan

Publications by Year

Citations contained in zbMATH Open

93 Publications have been cited 2,591 times in 1,508 Documents Cited by Year
Analysis of discrete ill-posed problems by means of the L-curve. Zbl 0770.65026
Hansen, Per Christian
300
1992
Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems. Zbl 0789.65029
Hansen, Per Christian
261
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
237
1993
Rank-deficient and discrete ill-posed problems. Numerical aspects of linear inversion. Zbl 0890.65037
Hansen, Per Christian
194
1997
Deblurring images. Matrices, spectra, and filtering. Zbl 1112.68127
Hansen, Per Christian; Nagy, James G.; O’Leary, Dianne P.
179
2006
Regularization tools version \(4.0\) for matlab \(7.3\). Zbl 1128.65029
Hansen, Per Christian
156
2007
Regularization methods for large-scale problems. Zbl 0805.65058
Hanke, Martin; Hansen, Per Christian
138
1993
Discrete inverse problems. Insight and algorithms. Zbl 1197.65054
Hansen, Per Christian
97
2010
Tikhonov regularization and total least squares. Zbl 0945.65042
Golub, Gene H.; Hansen, Per Christian; O’Leary, Dianne P.
72
1999
The truncated SVD as a method for regularization. Zbl 0633.65041
Hansen, Per Christian
66
1987
AIR tools – a MATLAB package of algebraic iterative reconstruction methods. Zbl 1241.65042
Hansen, Per Christian; Saxild-Hansen, Maria
50
2012
Truncated singular value decomposition solutions to discrete ill-posed problems with ill-determined numerical rank. Zbl 0699.65029
Hansen, Per Christian
47
1990
A projection-based approach to general-form Tikhonov regularization. Zbl 1140.65030
Kilmer, Misha E.; Hansen, Per Christian; Español, Malena I.
38
2007
Some applications of the rank revealing QR factorization. Zbl 0756.65032
Chan, Tony F.; Hansen, Per Christian
35
1992
The discrete Picard condition for discrete ill-posed problems. Zbl 0723.65147
Hansen, Per Christian
34
1990
Numerical tools for analysis and solution of Fredholm integral equations of the first kind. Zbl 0782.65153
Hansen, Per Christian
33
1992
The effective condition number applied to error analysis of certain boundary collocation methods. Zbl 0834.65033
Christiansen, Søren; Hansen, Per Christian
30
1994
Deconvolution and regularization with Toeplitz matrices. Zbl 1002.65145
Hansen, Per Christian
27
2002
An adaptive pruning algorithm for the discrete L-curve criterion. Zbl 1101.65044
Hansen, Per Christian; Jensen, Toke Koldborg; Rodriguez, Giuseppe
27
2007
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.
27
2019
Iterative regularization with minimum-residual methods. Zbl 1113.65037
Jensen, T. K.; Hansen, P. C.
26
2007
Regularization by truncated total least squares. Zbl 0891.65040
Fierro, R. D.; Golub, G. H.; Hansen, P. C.; O’Leary, D. P.
24
1997
AIR tools II: algebraic iterative reconstruction methods, improved implementation. Zbl 1397.65007
Hansen, Per Christian; Jørgensen, Jakob Sauer
23
2018
Regularization, GSVD and truncated GSVD. Zbl 0682.65021
Hansen, Per Christian
22
1989
\(L\)-curve curvature bounds via Lanczos bidiagonalization. Zbl 1029.65041
Calvetti, D.; Hansen, P. C.; Reichel, L.
22
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.
21
2006
The modified truncated SVD method for regularization in general form. Zbl 0760.65044
Hansen, Per Christian; Sekii, Takashi; Shibahashi, Hiromoto
20
1992
Computation of the singular value expansion. Zbl 0631.65133
Hansen, P. C.
19
1988
A look-ahead Levinson algorithm for general Toeplitz systems. Zbl 0756.65044
Chan, Tony F.; Hansen, Per C.
18
1992
Smoothing-norm preconditioning for regularizing minimum-residual methods. Zbl 1154.65028
Hansen, Per Christian; Jensen, Toke Koldborg
17
2006
Noise propagation in regularizing iterations for image deblurring. Zbl 1171.65032
Hansen, Per Christian; Jensen, Toke Koldborg
17
2008
Semi-convergence and relaxation parameters for a class of SIRT algorithms. Zbl 1205.65148
Elfving, Tommy; Nikazad, Touraj; Hansen, Per Christian
17
2010
Semiconvergence and relaxation parameters for projected SIRT algorithms. Zbl 1254.65044
Elfving, Tommy; Hansen, Per Christian; Nikazad, Touraj
16
2012
Semi-convergence properties of Kaczmarz’s method. Zbl 1296.65054
Elfving, Tommy; Hansen, Per Christian; Nikazad, Touraj
16
2014
A look-ahead Levinson algorithm for indefinite Toeplitz systems. Zbl 0752.65020
Chan, Tony F.; Hansen, Per Christian
15
1992
Subspace preconditioned LSQR for discrete ill-posed problems. Zbl 1046.65030
Jacobsen, M.; Hansen, P. C.; Saunders, M. A.
14
2003
Least squares data fitting with applications. Zbl 1270.65008
Hansen, Per Christian; Pereyra, Víctor; Scherer, Godela
14
2013
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.
13
2012
Computing truncated singular value decomposition least squares solutions by rank revealing QR-factorizations. Zbl 0699.65030
Chan, Tony F.; Hansen, Per Christian
11
1990
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
11
2010
Low-rank revealing \(UTV\) decompositions. Zbl 0887.65043
Fierro, Ricardo D.; Hansen, Per Christian
10
1997
Structure-preserving and rank-revealing \(QR\)-factorizations. Zbl 0739.65031
Bischof, Christian H.; Hansen, Per Christian
10
1991
Test matrices for regularization methods. Zbl 0820.65020
Hansen, Per Christian
7
1995
UTV tools: Matlab templates for rank-revealing UTV decompositions. Zbl 0936.65054
Fierro, Ricardo D.; Hansen, Per Christian; Hansen, Peter Søren Kirk
7
1999
Oblique projections and standard-form transformations for discrete inverse problems. Zbl 1289.65097
Hansen, Per Christian
7
2013
A tensor-based dictionary learning approach to tomographic image reconstruction. Zbl 1355.65036
Soltani, Sara; Kilmer, Misha E.; Hansen, Per Christian
7
2016
Multicore performance of block algebraic iterative reconstruction methods. Zbl 1307.65037
Sørensen, Hans Henrik B.; Hansen, Per Christian
6
2014
Perturbation bounds for discrete Tikhonov regularisation. Zbl 0695.65022
Hansen, Per Christian
6
1989
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
Electrical impedance tomography: 3D reconstructions using scattering transforms. Zbl 1238.35183
Delbary, Fabrice; Hansen, Per Christian; Knudsen, Kim
6
2012
Generalized row-action methods for tomographic imaging. Zbl 1302.65285
Andersen, Martin S.; Hansen, Per Christian
6
2014
FORTRAN subroutines for general Toeplitz systems. Zbl 0894.65010
Hansen, Per Christian; Chan, Tony F.
5
1992
Accuracy of TSVD solutions computed from rank-revealing decompositions. Zbl 0834.65026
Fierro, Ricardo D.; Hansen, Per Christian
5
1995
Unmatched projector/backprojector pairs: perturbation and convergence analysis. Zbl 1383.65035
Elfving, Tommy; Hansen, Per Christian
5
2018
Convergence analysis for column-action methods in image reconstruction. Zbl 1366.65116
Elfving, Tommy; Hansen, Per Christian; Nikazad, Touraj
5
2017
An SVD analysis of linear algebraic equations derived from first kind integral equations. Zbl 0577.65116
Hansen, Per Christian; Christiansen, Søren
4
1985
The 2-norm of random matrices. Zbl 0656.15013
Hansen, Per Christian
4
1988
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.
4
1995
Regularization Tools Version 3. 0 for Matlab 5. 2. Zbl 0933.65065
Hansen, Per Christian
4
1999
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
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
4
2008
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
3
2007
Reconstruction of single-grain orientation distribution functions for crystalline materials. Zbl 1175.82066
Hansen, Per Christian; Sørensen, Henning Osholm; Sükösd, Zsuzsanna; Poulsen, Henning Friis
3
2009
UTV Expansin pack: Special-purpose rank-revealing algorithms. Zbl 1079.65026
Fierro, Ricardo D.; Hansen, Per Christian
3
2005
Fast orthogonal decomposition of rank deficient Toeplitz matrices. Zbl 0779.65027
Hansen, Per Christian; Gesmar, Henrik
3
1993
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
Regularization and the general Gauss-Markov linear model. Zbl 0722.65020
Zha, Hongyuan; Hansen, Per Christian
3
1990
Prewhitening for rank-deficient noise in subspace methods for noise reduction. Zbl 1370.94140
Hansen, Per Christian; Jensen, Søren Holdt
3
2005
Rotational image deblurring with sparse matrices. Zbl 1302.65055
Hansen, Per Christian; Nagy, James G.; Tigkos, Konstantinos
3
2014
Hybrid enriched bidiagonalization for discrete ill-posed problems. Zbl 1449.65093
Hansen, Per Christian; Dong, Yiqiu; Abe, Kuniyoshi
2
2019
Relations between SVD and GSVD of discrete regularization problems in standard and general form. Zbl 0717.65024
Hansen, Per Christian
2
1990
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
Piecewise polynomial solutions without a priori break points. Zbl 0906.65056
Hansen, P. C.; Mosegaard, K.
2
1996
A coarse-grained parallel QR-factorization algorithm for sparse least squares problems. Zbl 0909.68071
Ostromsky, Tz.; Hansen, P. C.; Zlatev, Z.
2
1998
A block algorithm for computing rank-revealing QR factorizations. Zbl 0761.65029
Bischof, Christian H.; Hansen, Per Christian
2
1992
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
Truncated VSV solutions to symmetric rank-deficient problems. Zbl 1018.65054
Fierro, Ricardo D.; Hansen, Per Christian
2
2002
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
2
2019
Simultaneous tomographic reconstruction and segmentation with class priors. Zbl 1349.92084
Romanov, Mikhail; Dahl, Anders Bjorholm; Dong, Yiqiu; Hansen, Per Christian
2
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
2
2015
Rank-revealing decompositions of symmetric Toeplitz matrices. Zbl 1003.65019
Hansen, Per Christian; Yalamov, Plamen
1
2001
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
Experience with regularizing CG iterations. Zbl 0811.65035
Hansen, Per Christian
1
1994
Stabilization by perturbation of a \(4n^{2}\) Toeplitz solver. Zbl 0994.65025
Hansen, Per Christian; Yalamov, Plamen Y.
1
2000
Symmetric rank revealing factorizations. Zbl 0980.65046
Hansen, P. C.; Yalamov, P. Y.
1
1999
Solution of ill-posed problems by means of truncated SVD. Zbl 0659.65041
Hansen, Per Christian
1
1988
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
Tomographic image reconstruction using training images. Zbl 1353.65017
Soltani, Sara; Andersen, Martin S.; Hansen, Per Christian
1
2017
R\(^3\)GMRES: including prior information in GMRES-type methods for discrete inverse problems. Zbl 1307.65049
Dong, Yiqiu; Garde, Henrik; Hansen, Per Christian
1
2014
MCMC algorithms for computational UQ of nonnegativity constrained linear inverse problems. Zbl 1442.65031
Bardsley, Johnathan M.; Hansen, Per Christian
1
2020
MCMC algorithms for computational UQ of nonnegativity constrained linear inverse problems. Zbl 1442.65031
Bardsley, Johnathan M.; Hansen, Per Christian
1
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.
27
2019
Hybrid enriched bidiagonalization for discrete ill-posed problems. Zbl 1449.65093
Hansen, Per Christian; Dong, Yiqiu; Abe, Kuniyoshi
2
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
2
2019
AIR tools II: algebraic iterative reconstruction methods, improved implementation. Zbl 1397.65007
Hansen, Per Christian; Jørgensen, Jakob Sauer
23
2018
Unmatched projector/backprojector pairs: perturbation and convergence analysis. Zbl 1383.65035
Elfving, Tommy; Hansen, Per Christian
5
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
5
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
7
2016
Simultaneous tomographic reconstruction and segmentation with class priors. Zbl 1349.92084
Romanov, Mikhail; Dahl, Anders Bjorholm; Dong, Yiqiu; Hansen, Per Christian
2
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
2
2015
Semi-convergence properties of Kaczmarz’s method. Zbl 1296.65054
Elfving, Tommy; Hansen, Per Christian; Nikazad, Touraj
16
2014
Multicore performance of block algebraic iterative reconstruction methods. Zbl 1307.65037
Sørensen, Hans Henrik B.; Hansen, Per Christian
6
2014
Generalized row-action methods for tomographic imaging. Zbl 1302.65285
Andersen, Martin S.; Hansen, Per Christian
6
2014
Rotational image deblurring with sparse matrices. Zbl 1302.65055
Hansen, Per Christian; Nagy, James G.; Tigkos, Konstantinos
3
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
R\(^3\)GMRES: including prior information in GMRES-type methods for discrete inverse problems. Zbl 1307.65049
Dong, Yiqiu; Garde, Henrik; Hansen, Per Christian
1
2014
Least squares data fitting with applications. Zbl 1270.65008
Hansen, Per Christian; Pereyra, Víctor; Scherer, Godela
14
2013
Oblique projections and standard-form transformations for discrete inverse problems. Zbl 1289.65097
Hansen, Per Christian
7
2013
AIR tools – a MATLAB package of algebraic iterative reconstruction methods. Zbl 1241.65042
Hansen, Per Christian; Saxild-Hansen, Maria
50
2012
Semiconvergence and relaxation parameters for projected SIRT algorithms. Zbl 1254.65044
Elfving, Tommy; Hansen, Per Christian; Nikazad, Touraj
16
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.
13
2012
Electrical impedance tomography: 3D reconstructions using scattering transforms. Zbl 1238.35183
Delbary, Fabrice; Hansen, Per Christian; Knudsen, Kim
6
2012
Discrete inverse problems. Insight and algorithms. Zbl 1197.65054
Hansen, Per Christian
97
2010
Semi-convergence and relaxation parameters for a class of SIRT algorithms. Zbl 1205.65148
Elfving, Tommy; Nikazad, Touraj; Hansen, Per Christian
17
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
11
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
3
2009
Noise propagation in regularizing iterations for image deblurring. Zbl 1171.65032
Hansen, Per Christian; Jensen, Toke Koldborg
17
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
4
2008
Regularization tools version \(4.0\) for matlab \(7.3\). Zbl 1128.65029
Hansen, Per Christian
156
2007
A projection-based approach to general-form Tikhonov regularization. Zbl 1140.65030
Kilmer, Misha E.; Hansen, Per Christian; Español, Malena I.
38
2007
An adaptive pruning algorithm for the discrete L-curve criterion. Zbl 1101.65044
Hansen, Per Christian; Jensen, Toke Koldborg; Rodriguez, Giuseppe
27
2007
Iterative regularization with minimum-residual methods. Zbl 1113.65037
Jensen, T. K.; Hansen, P. C.
26
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
3
2007
Deblurring images. Matrices, spectra, and filtering. Zbl 1112.68127
Hansen, Per Christian; Nagy, James G.; O’Leary, Dianne P.
179
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.
21
2006
Smoothing-norm preconditioning for regularizing minimum-residual methods. Zbl 1154.65028
Hansen, Per Christian; Jensen, Toke Koldborg
17
2006
UTV Expansin pack: Special-purpose rank-revealing algorithms. Zbl 1079.65026
Fierro, Ricardo D.; Hansen, Per Christian
3
2005
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
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
27
2002
\(L\)-curve curvature bounds via Lanczos bidiagonalization. Zbl 1029.65041
Calvetti, D.; Hansen, P. C.; Reichel, L.
22
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.
72
1999
UTV tools: Matlab templates for rank-revealing UTV decompositions. Zbl 0936.65054
Fierro, Ricardo D.; Hansen, Per Christian; Hansen, Peter Søren Kirk
7
1999
Regularization Tools Version 3. 0 for Matlab 5. 2. Zbl 0933.65065
Hansen, Per Christian
4
1999
Symmetric rank revealing factorizations. Zbl 0980.65046
Hansen, P. C.; Yalamov, P. Y.
1
1999
Rank-deficient prewhitening with quotient SVD and ULV decompositions. Zbl 0901.65026
Hansen, Per Christian
2
1998
A coarse-grained parallel QR-factorization algorithm for sparse least squares problems. Zbl 0909.68071
Ostromsky, Tz.; Hansen, P. C.; Zlatev, Z.
2
1998
Rank-deficient and discrete ill-posed problems. Numerical aspects of linear inversion. Zbl 0890.65037
Hansen, Per Christian
194
1997
Regularization by truncated total least squares. Zbl 0891.65040
Fierro, R. D.; Golub, G. H.; Hansen, P. C.; O’Leary, D. P.
24
1997
Low-rank revealing \(UTV\) decompositions. Zbl 0887.65043
Fierro, Ricardo D.; Hansen, Per Christian
10
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.
4
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
261
1994
The effective condition number applied to error analysis of certain boundary collocation methods. Zbl 0834.65033
Christiansen, Søren; Hansen, Per Christian
30
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
237
1993
Regularization methods for large-scale problems. Zbl 0805.65058
Hanke, Martin; Hansen, Per Christian
138
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
300
1992
Some applications of the rank revealing QR factorization. Zbl 0756.65032
Chan, Tony F.; Hansen, Per Christian
35
1992
Numerical tools for analysis and solution of Fredholm integral equations of the first kind. Zbl 0782.65153
Hansen, Per Christian
33
1992
The modified truncated SVD method for regularization in general form. Zbl 0760.65044
Hansen, Per Christian; Sekii, Takashi; Shibahashi, Hiromoto
20
1992
A look-ahead Levinson algorithm for general Toeplitz systems. Zbl 0756.65044
Chan, Tony F.; Hansen, Per C.
18
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
2
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
47
1990
The discrete Picard condition for discrete ill-posed problems. Zbl 0723.65147
Hansen, Per Christian
34
1990
Computing truncated singular value decomposition least squares solutions by rank revealing QR-factorizations. Zbl 0699.65030
Chan, Tony F.; Hansen, Per Christian
11
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
22
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.
19
1988
The 2-norm of random matrices. Zbl 0656.15013
Hansen, Per Christian
4
1988
Solution of ill-posed problems by means of truncated SVD. Zbl 0659.65041
Hansen, Per Christian
1
1988
The truncated SVD as a method for regularization. Zbl 0633.65041
Hansen, Per Christian
66
1987
Detection of near-singularity in Cholesky and \(LDL^ T\) factorizations. Zbl 0627.65040
Hansen, Per Christian
2
1987
An SVD analysis of linear algebraic equations derived from first kind integral equations. Zbl 0577.65116
Hansen, Per Christian; Christiansen, Søren
4
1985
all top 5

Cited by 2,296 Authors

96 Reichel, Lothar
39 Hansen, Per Christian
34 Lesnic, Daniel
22 Nagy, James Gerard
21 Wei, Yimin
20 Wei, Ting
19 Sgallari, Fiorella
18 Jbilou, Khalide
18 Morigi, Serena
17 Donatelli, Marco
17 Li, Zi-Cai
17 Marin, Liviu
16 Loli Piccolomini, Elena
15 Huang, Hung-Tsai
15 Huang, Ting-Zhu
15 Rodriguez, Giuseppe
15 Sadok, Hassane
14 Chung, Julianne M.
13 Chen, Wen
13 Gazzola, Silvia
13 Johansson, B. Tomas
13 Lv, Xiaoguang
12 Buccini, Alessandro
12 Hon, Yiu-Chung
12 Ng, Michael Kwok-Po
12 Novati, Paolo
11 Hochstenbach, Michiel E.
11 Ingham, Derek Binns
11 Jin, Bangti
11 Lu, Shuai
11 Noschese, Silvia
11 Zhao, Xile
10 Bouhamidi, Abderrahman
10 Calvetti, Daniela
10 Elliott, Lionel
10 Karageorghis, Andreas
10 Landi, Germana
10 Zhang, Wenxing
9 Fu, Chuli
9 Jia, Zhongxiao
9 Yuan, Xiaoming
8 Renaut, Rosemary Anne
8 Tautenhahn, Ulrich
8 Zama, Fabiana
7 Fu, Zhuojia
7 Hämarik, Uno
7 Han, Deren
7 Huang, Jin
7 Ling, Leevan
7 Nikazad, Touraj
7 Van Barel, Marc
7 Van Huffel, Sabine
7 Viloche Bazán, Fermín S.
6 Andersen, Martin S.
6 Cheng, Xiaoliang
6 Dykes, Laura
6 Hanke-Bourgeois, Martin
6 Huang, Guang-Xin
6 Huckle, Thomas Kilian
6 Jin, Qinian
6 Kilmer, Misha E.
6 Lü, Zhongrong
6 Luttman, Aaron
6 O’Leary, Dianne P.
6 Pereverzev, Sergei V.
6 Pourgholi, Reza
6 Ramlau, Ronny
6 Raus, Toomas
6 Reeve, Thomas
6 Serra-Capizzano, Stefano
5 Bentbib, Abdeslem Hafid
5 Bonettini, Silvia
5 Chung, Matthias
5 Deng, Liangjian
5 Dou, Fangfang
5 Elfving, Tommy
5 Estatico, Claudio
5 Han, Weimin
5 Lanza, Alessandro
5 Liu, Jike
5 Ma, Yunjie
5 Mastronardi, Nicola
5 Porta, Federica
5 Rashedi, Kamal
5 Siltanen, Samuli
5 Somersalo, Erkki
5 Tenorio, Luis
5 Winkler, Joab R.
5 Yan, Liang
5 Yang, Fenglian
5 Zhang, Yuanxiang
4 Bardsley, Johnathan M.
4 Barlow, Jesse L.
4 Beck, Amir
4 Borges, Leonardo S.
4 Brezinski, Claude
4 Burger, Martin
4 Cheng, Hao
4 Cherkaev, Elena
4 Christiansen, Søren
...and 2,196 more Authors
all top 5

Cited in 256 Serials

99 Journal of Computational and Applied Mathematics
82 Inverse Problems in Science and Engineering
76 Engineering Analysis with Boundary Elements
71 Numerical Algorithms
65 Inverse Problems
65 Linear Algebra and its Applications
46 BIT
42 Applied Numerical Mathematics
38 SIAM Journal on Scientific Computing
37 Applied Mathematics and Computation
35 Numerical Linear Algebra with Applications
33 Applied Mathematical Modelling
28 Computer Methods in Applied Mechanics and Engineering
28 Journal of Computational Physics
23 Computers & Mathematics with Applications
23 Journal of Mathematical Imaging and Vision
22 Journal of Inverse and Ill-Posed Problems
21 Journal of Scientific Computing
21 Mathematical Problems in Engineering
20 International Journal for Numerical Methods in Engineering
20 International Journal of Computer Mathematics
20 Inverse Problems and Imaging
19 SIAM Journal on Imaging Sciences
15 Calcolo
15 Computational Optimization and Applications
12 Numerische Mathematik
12 SIAM Journal on Matrix Analysis and Applications
10 Mathematics and Computers in Simulation
10 Mathematical Programming. Series A. Series B
10 ETNA. Electronic Transactions on Numerical Analysis
9 Neural Computation
9 Computational and Applied Mathematics
8 Journal of Engineering Mathematics
8 Computational Mechanics
8 COMPEL
8 Journal of Integral Equations and Applications
8 International Journal of Computational Methods
7 Mathematics of Computation
7 Computational Statistics and Data Analysis
7 Applied and Computational Harmonic Analysis
7 Advances in Computational Mathematics
7 Computational Geosciences
7 SIAM/ASA Journal on Uncertainty Quantification
6 Applicable Analysis
6 Journal of Mathematical Analysis and Applications
6 Numerical Functional Analysis and Optimization
6 Optimization
6 Applied Mathematics Letters
5 Journal of Fluid Mechanics
5 Automatica
5 Journal of Optimization Theory and Applications
5 Numerical Methods for Partial Differential Equations
5 Mathematical and Computer Modelling
5 Abstract and Applied Analysis
5 Journal of Applied Mathematics and Computing
5 Computational & Mathematical Methods in Medicine
4 Circuits, Systems, and Signal Processing
4 Pattern Recognition
4 Cybernetics and Systems Analysis
4 International Journal of Computer Vision
4 Optimization Methods & Software
4 Acta Numerica
4 EURASIP Journal on Advances in Signal Processing
3 International Journal of Heat and Mass Transfer
3 Journal of the Franklin Institute
3 Journal of Mathematical Biology
3 Computing
3 Information Sciences
3 Quarterly of Applied Mathematics
3 SIAM Journal on Numerical Analysis
3 Theoretical Computer Science
3 Zeitschrift für Analysis und ihre Anwendungen
3 Applied Mathematics and Mechanics. (English Edition)
3 Signal Processing
3 Journal of Global Optimization
3 Mathematics and Mechanics of Solids
3 Nonlinear Dynamics
3 Communications in Nonlinear Science and Numerical Simulation
3 Journal of Computational Acoustics
3 Mathematical Modelling of Natural Phenomena
3 Advances in Mathematical Physics
3 Science China. Mathematics
2 Computers and Fluids
2 International Journal of Engineering Science
2 International Journal for Numerical Methods in Fluids
2 Journal of Mathematical Physics
2 Linear and Multilinear Algebra
2 Mathematical Biosciences
2 Mathematical Methods in the Applied Sciences
2 Physics Letters. A
2 Wave Motion
2 Bulletin of Mathematical Biology
2 Chaos, Solitons and Fractals
2 ACM Transactions on Mathematical Software
2 Journal of Multivariate Analysis
2 Statistics & Probability Letters
2 Acta Applicandae Mathematicae
2 Physica D
2 Multidimensional Systems and Signal Processing
2 SIAM Review
...and 156 more Serials
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Cited in 47 Fields

1,083 Numerical analysis (65-XX)
223 Information and communication theory, circuits (94-XX)
212 Partial differential equations (35-XX)
160 Operations research, mathematical programming (90-XX)
136 Computer science (68-XX)
105 Linear and multilinear algebra; matrix theory (15-XX)
101 Statistics (62-XX)
98 Biology and other natural sciences (92-XX)
93 Operator theory (47-XX)
88 Mechanics of deformable solids (74-XX)
78 Integral equations (45-XX)
65 Fluid mechanics (76-XX)
65 Classical thermodynamics, heat transfer (80-XX)
61 Calculus of variations and optimal control; optimization (49-XX)
53 Optics, electromagnetic theory (78-XX)
38 Geophysics (86-XX)
35 Systems theory; control (93-XX)
27 Integral transforms, operational calculus (44-XX)
26 Approximations and expansions (41-XX)
15 Probability theory and stochastic processes (60-XX)
13 Ordinary differential equations (34-XX)
13 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
12 Real functions (26-XX)
11 Statistical mechanics, structure of matter (82-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
9 Dynamical systems and ergodic theory (37-XX)
9 Quantum theory (81-XX)
7 Functional analysis (46-XX)
6 Mechanics of particles and systems (70-XX)
5 Special functions (33-XX)
5 Astronomy and astrophysics (85-XX)
4 General and overarching topics; collections (00-XX)
4 Potential theory (31-XX)
3 Field theory and polynomials (12-XX)
3 Difference and functional equations (39-XX)
3 Sequences, series, summability (40-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Combinatorics (05-XX)
2 Commutative algebra (13-XX)
2 Convex and discrete geometry (52-XX)
2 Differential geometry (53-XX)
1 History and biography (01-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Functions of a complex variable (30-XX)
1 General topology (54-XX)
1 Relativity and gravitational theory (83-XX)

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