Computation of the singular value expansion. - Per Christian Hansen (Computing, 1988)

Computing Truncated Singular Value Decomposition Least Squares Solutions by Rank Revealing QR-Factorizations. - Tony F. Chan; Per Christian Hansen (SIAM J. Sci. Comput., 1990)

Truncated Singular Value Decomposition Solutions to Discrete Ill-Posed Problems with Ill-Determined Numerical Rank. - Per Christian Hansen (SIAM J. Sci. Comput., 1990)

Structure-Preserving and Rank-Revealing QR-Factorizations. - Christian H. Bischof; Per Christian Hansen (SIAM J. Sci. Comput., 1991)

A systolic rank revealing QR algorithm. - Flavio Lorenzelli; Kung Yao; Tony F. Chan; Per Christian Hansen (ASAP, 1992)

A block algorithm for computing rank-revealing QR factorizations. - Christian H. Bischof; Per Christian Hansen (Numer. Algorithms, 1992)

A Look-Ahead Levinson Algorithm for Indefinite Toeplitz Systems. - Tony F. Chan; Per Christian Hansen (SIAM J. Matrix Anal. Appl., 1992)

Analysis of Discrete Ill-Posed Problems by Means of the L-Curve. - Per Christian Hansen (SIAM Rev., 1992)

Some Applications of the Rank Revealing QR Factorization. - Tony F. Chan; Per Christian Hansen (SIAM J. Sci. Comput., 1992)

The Modified Truncated SVD Method for Regularization in General Form. - Per Christian Hansen; Takashi Sekii; Hiromoto Shibahashi (SIAM J. Sci. Comput., 1992)

FORTRAN subroutines for general Toeplitz systems. - Per Christian Hansen; Tony F. Chan (ACM Trans. Math. Softw., 1992)

A look-ahead Levinson algorithm for general Toeplitz systems. - Tony F. Chan; Per Christian Hansen (IEEE Trans. Signal Process., 1992)

The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems. - Per Christian Hansen; Dianne P. O'Leary (SIAM J. Sci. Comput., 1993)

Erratum: A Look-Ahead Levinson Algorithm for Indefinite Toeplitz Systems. - Tony F. Chan; Per Christian Hansen (SIAM J. Matrix Anal. Appl., 1993)

Comparison of Massively Parallel SIMD Computers Using Air Pollution Models. - John Brown; Per Christian Hansen; Jerzy Wasniewski; Zahari Zlatev (PARA, 1994)

Parallel Issues of Regularization Problems. - Per Christian Hansen (PARA, 1994)

Two Enhancements in a Partitioned Sparse Code. - Per Christian Hansen; Tzvetan Ostromsky; Zahari Zlatev (PARA, 1994)

Regularization Tools: A Matlab package for analysis and solution of discrete ill-posed problems. - Per Christian Hansen (Numer. Algorithms, 1994)

Low-rank revealing QR factorizations. - Tony F. Chan; Per Christian Hansen (Numer. Linear Algebra Appl., 1994)

Corrigendum: Algorithm 729; FORTRAN subroutines for general Toeplitz systems. - Per Christian Hansen; Tony F. Chan (ACM Trans. Math. Softw., 1994)

A systolic implementation of the Chan/Foster RRQR algorithm. - Flavio Lorenzelli; Per Christian Hansen; Tony F. Chan; Kung Yao (IEEE Trans. Signal Process., 1994)

A Parallel Sparse QR-Factorization Algorithm. - Tzvetan Ostromsky; Per Christian Hansen; Zahari Zlatev (PARA, 1995)

Comparison of Parallel Computers Using Air Pollution Models. - John Brown; Per Christian Hansen; P. Kaae; C. Keable; Wojciech Owczarz; Jerzy Wasniewski; Zahari Zlatev (PP, 1995)

Locally Optimized Reordering Algorithm and its Application to a Parallel Sparse Linear System Solver. - Kyle A. Gallivan; Per Christian Hansen; Tzvetan Ostromsky; Zahari Zlatev (Computing, 1995)

Implementation of QR Up- and Downdating on a Massively Parallel Computer. - Claus Bendtsen; Per Christian Hansen; Kaj Madsen; Hans Bruun Nielsen; Mustafa Ç. Pinar (Parallel Comput., 1995)

Test Matrices for Regularization Methods. - Per Christian Hansen (SIAM J. Sci. Comput., 1995)

Reduction of broad-band noise in speech by truncated QSVD. - Søren Holdt Jensen; Per Christian Hansen; Steffen Duus Hansen; John Aasted Sørensen (IEEE Trans. Speech Audio Process., 1995)

Noise reduction of speech signals using the rank-revealing ULLV decomposition. - Peter Søren Kirk Hansen; Per Christian Hansen; Steffen Duus Hansen; John Aasted Sørensen (EUSIPCO, 1996)

Reduced-rank noise reduction: A filter-bank interpretation. - Søren Holdt Jensen; Per Christian Hansen (EUSIPCO, 1996)

Filter Model of Reduced-Rank Noise Reduction. - Per Christian Hansen; Søren Holdt Jensen (PARA, 1996)

Piecewise Polynomial Solutions Without a priori Break Points. - Per Christian Hansen; Klaus Mosegaard (Numer. Linear Algebra Appl., 1996)

Low-rank revealing UTV decompositions. - Ricardo D. Fierro; Per Christian Hansen (Numer. Algorithms, 1997)

Regularization by Truncated Total Least Squares. - Ricardo D. Fierro; Gene H. Golub; Per Christian Hansen; Dianne P. O'Leary (SIAM J. Sci. Comput., 1997)

A Coarse-Grained Parallel QR-Factorization Algorithm for Sparse Least Squares Problems. - Tzvetan Ostromsky; Per Christian Hansen; Zahari Zlatev (Parallel Comput., 1998)

FIR filter representations of reduced-rank noise reduction. - Per Christian Hansen; Søren Holdt Jensen (IEEE Trans. Signal Process., 1998)

Experimental comparison of signal subspace based noise reduction methods. - Peter Søren Kirk Hansen; Per Christian Hansen; Steffen Duus Hansen; John Aasted Sørensen (ICASSP, 1999)

UTV Tools: Matlab templates for rank-revealing UTV decompositions. - Ricardo D. Fierro; Per Christian Hansen; Peter Søren Kirk Hansen (Numer. Algorithms, 1999)

Regularization Tools Version 3.0 for Matlab 5.2. - Per Christian Hansen (Numer. Algorithms, 1999)

Tikhonov Regularization and Total Least Squares. - Gene H. Golub; Per Christian Hansen; Dianne P. O'Leary (SIAM J. Matrix Anal. Appl., 1999)

Stabilization by Perturbation of a 4n2 Toeplitz Solver. - Per Christian Hansen; Plamen Y. Yalamov (SIAM J. Matrix Anal. Appl., 2000)

Computing Symmetric Rank-Revealing Decompositions via Triangular Factorization. - Per Christian Hansen; Plamen Y. Yalamov (SIAM J. Matrix Anal. Appl., 2001)

Deconvolution and Regularization with Toeplitz Matrices. - Per Christian Hansen (Numer. Algorithms, 2002)

UTV Expansion Pack: Special-purpose rank-revealing algorithms. - Ricardo D. Fierro; Per Christian Hansen (Numer. Algorithms, 2005)

Prewhitening for rank-deficient noise in subspace methods for noise reduction. - Per Christian Hansen; Søren Holdt Jensen (IEEE Trans. Signal Process., 2005)

Large-Scale Methods in Image Deblurring. - Per Christian Hansen; Toke Koldborg Jensen (PARA, 2006)

Smoothing-Norm Preconditioning for Regularizing Minimum-Residual Methods. - Per Christian Hansen; Toke Koldborg Jensen (SIAM J. Matrix Anal. Appl., 2006)

A Convex Programming Approach to Anisotropic Smoothing. - Joachim Dahl; Søren Holdt Jensen; Per Christian Hansen (ICIP (2), 2007)

Subspace-Based Noise Reduction for Speech Signals via Diagonal and Triangular Matrix Decompositions: Survey and Analysis. - Per Christian Hansen; Søren Holdt Jensen (EURASIP J. Adv. Signal Process., 2007)

Regularization Tools version 4.0 for Matlab 7.3. - Per Christian Hansen (Numer. Algorithms, 2007)

A Projection-Based Approach to General-Form Tikhonov Regularization. - Misha Elena Kilmer; Per Christian Hansen; Malena I. Español (SIAM J. Sci. Comput., 2007)

Block tridiagonal matrix inversion and fast transmission calculations. - Dan Erik Petersen; Hans Henrik B. Sørensen; Per Christian Hansen; Stig Skelboe; Kurt Stokbro (J. Comput. Phys., 2008)

Deblurring Images: Matrices, Spectra and Filtering. - Per Christian Hansen; James G. Nagy; Dianne P. O'Leary; Rodney Miller (J. Electronic Imaging, 2008)

A hybrid method for the parallel computation of Green's functions. - Dan Erik Petersen; Song Li; Kurt Stokbro; Hans Henrik B. Sørensen; Per Christian Hansen; Stig Skelboe; Eric Darve (J. Comput. Phys., 2009)

Reconstruction of Single-Grain Orientation Distribution Functions for Crystalline Materials. - Per Christian Hansen; Henning Osholm Sørensen; Zsuzsanna Sükösd; Henning Friis Poulsen (SIAM J. Imaging Sci., 2009)

Algorithms and software for total variation image reconstruction via first-order methods. - Joachim Dahl; Per Christian Hansen; Søren Holdt Jensen; Tobias Lindstrøm Jensen (Numer. Algorithms, 2010)

Implementation of an Optimal First-Order Method for Strongly Convex Total Variation Regularization - Tobias Lindstrøm Jensen; Jakob Heide Jørgensen; Per Christian Hansen; Søren Holdt Jensen (CoRR, 2011)

Accelerated gradient methods for total-variation-based CT image reconstruction - Jakob Heide Jørgensen; Tobias Lindstrøm Jensen; Per Christian Hansen; Søren Holdt Jensen; Emil Y. Sidky; Xiaochuan Pan (CoRR, 2011)

AIR Tools - A MATLAB package of algebraic iterative reconstruction methods. - Per Christian Hansen; Maria Saxild-Hansen (J. Comput. Appl. Math., 2012)

Semiconvergence and Relaxation Parameters for Projected SIRT Algorithms. - Tommy Elfving; Per Christian Hansen; Touraj Nikazad (SIAM J. Sci. Comput., 2012)

Oblique projections and standard-form transformations for discrete inverse problems. - Per Christian Hansen (Numer. Linear Algebra Appl., 2013)

Generalized row-action methods for tomographic imaging. - Martin S. Andersen 001; Per Christian Hansen (Numer. Algorithms, 2014)

Multicore Performance of Block Algebraic Iterative Reconstruction Methods. - Hans Henrik B. Sørensen; Per Christian Hansen (SIAM J. Sci. Comput., 2014)

Comparison of Reconstruction Methods for Free-Space Propagation Phase-Contrast Tomography. - Rasmus Dalgas Rasmussen; Jakob Sauer Jørgensen; Henning Friis Poulsen; Per Christian Hansen (CoRR, 2015)

Tomographic Image Reconstruction using Dictionary Priors. - Sara Soltani; Martin S. Andersen 001; Per Christian Hansen (CoRR, 2015)

A Tensor-Based Dictionary Learning Approach to Tomographic Image Reconstruction. - Sara Soltani; Misha Elena Kilmer; Per Christian Hansen (CoRR, 2015)

User-Friendly Simultaneous Tomographic Reconstruction and Segmentation with Class Priors. - Hans Martin Kjer; Yiqiu Dong; Per Christian Hansen (SSVM, 2017)

Tomographic image reconstruction using training images. - Sara Soltani; Martin S. Andersen 001; Per Christian Hansen (J. Comput. Appl. Math., 2017)

Convergence analysis for column-action methods in image reconstruction. - Tommy Elfving; Per Christian Hansen; Touraj Nikazad (Numer. Algorithms, 2017)

Erratum to: Convergence analysis for column-action methods in image reconstruction. - Tommy Elfving; Per Christian Hansen; Touraj Nikazad (Numer. Algorithms, 2017)

AIR Tools II: algebraic iterative reconstruction methods, improved implementation. - Per Christian Hansen; Jakob Sauer Jørgensen (Numer. Algorithms, 2018)

Unmatched Projector/Backprojector Pairs: Perturbation and Convergence Analysis. - Tommy Elfving; Per Christian Hansen (SIAM J. Sci. Comput., 2018)

Joint CT Reconstruction and Segmentation With Discriminative Dictionary Learning. - Yiqiu Dong; Per Christian Hansen; Hans Martin Kjer (IEEE Trans. Computational Imaging, 2018)

IR Tools: a MATLAB package of iterative regularization methods and large-scale test problems. - Silvia Gazzola; Per Christian Hansen; James G. Nagy (Numer. Algorithms, 2019)

Hybrid enriched bidiagonalization for discrete ill-posed problems. - Per Christian Hansen; Yiqiu Dong; Kuniyoshi Abe (Numer. Linear Algebra Appl., 2019)

Fixing Nonconvergence of Algebraic Iterative Reconstruction with an Unmatched Backprojector. - Yiqiu Dong; Per Christian Hansen; Michiel E. Hochstenbach; Nicolai André Brogaard Riis (SIAM J. Sci. Comput., 2019)

MCMC Algorithms for Computational UQ of Nonnegativity Constrained Linear Inverse Problems. - Johnathan M. Bardsley; Per Christian Hansen (SIAM J. Sci. Comput., 2020)

Stopping Rules for Algebraic Iterative Reconstruction Methods in Computed Tomography. - Per Christian Hansen; Jakob Sauer Jørgensen; Peter Winkel Rasmussen (ICCSA (Workshops), 2021)

Computed Tomography Reconstruction with Uncertain View Angles by Iteratively Updated Model Discrepancy. - Nicolai André Brogaard Riis; Yiqiu Dong; Per Christian Hansen (J. Math. Imaging Vis., 2021)

A Twin Error Gauge for Kaczmarz's Iterations. - Bart S. van Lith; Per Christian Hansen; Michiel E. Hochstenbach (SIAM J. Sci. Comput., 2021)

GMRES methods for tomographic reconstruction with an unmatched back projector. - Per Christian Hansen; Ken Hayami; Keiichi Morikuni (J. Comput. Appl. Math., 2022)

A Hybrid Gibbs Sampler for Edge-Preserving Tomographic Reconstruction with Uncertain View Angles. - Felipe Uribe; Johnathan M. Bardsley; Yiqiu Dong; Per Christian Hansen; Nicolai André Brogaard Riis (SIAM/ASA J. Uncertain. Quantification, 2022)

Inferring Features with Uncertain Roughness. - Babak Maboudi Afkham; Nicolai André Brogaard Riis; Yiqiu Dong; Per Christian Hansen (CoRR, 2023)

CUQIpy - Part I: computational uncertainty quantification for inverse problems in Python. - Nicolai André Brogaard Riis; Amal Mohammed A. Alghamdi; Felipe Uribe; Silja L. Christensen; Babak Maboudi Afkham; Per Christian Hansen; Jakob Sauer Jørgensen (CoRR, 2023)

CUQIpy - Part II: computational uncertainty quantification for PDE-based inverse problems in Python. - Amal Mohammed A. Alghamdi; Nicolai André Brogaard Riis; Babak Maboudi Afkham; Felipe Uribe; Silja L. Christensen; Per Christian Hansen; Jakob Sauer Jørgensen (CoRR, 2023)

Uncertainty Quantification of Inclusion Boundaries in the Context of X-Ray Tomography. - Babak Maboudi Afkham; Yiqiu Dong; Per Christian Hansen (SIAM/ASA J. Uncertain. Quantification, 2023)

Horseshoe Priors for Edge-Preserving Linear Bayesian Inversion. - Felipe Uribe; Yiqiu Dong; Per Christian Hansen (SIAM J. Sci. Comput., 2023)

Inferring Object Boundaries and Their Roughness with Uncertainty Quantification. - Babak Maboudi Afkham; Nicolai André Brogaard Riis; Yiqiu Dong; Per Christian Hansen (J. Math. Imaging Vis., 2024)