Hansen, Per Christian; Jørgensen, Jakob Sauer; Rasmussen, Peter Winkel Stopping Rules for Algebraic Iterative Reconstruction Methods in Computed Tomography. arXiv:2106.10053 Preprint, arXiv:2106.10053 [math.NA] (2021). MSC: 65F10 65F22 15A29 BibTeX Cite \textit{P. C. Hansen} et al., ``Stopping Rules for Algebraic Iterative Reconstruction Methods in Computed Tomography'', Preprint, arXiv:2106.10053 [math.NA] (2021) Full Text: arXiv OA License
Bardsley, Johnathan M.; Hansen, Per Christian MCMC algorithms for computational UQ of nonnegativity constrained linear inverse problems. (English) Zbl 1442.65031 SIAM J. Sci. Comput. 42, No. 2, A1269-A1288 (2020). MSC: 65F05 15A29 65C05 65C40 65F22 94A08 PDFBibTeX XMLCite \textit{J. M. Bardsley} and \textit{P. C. Hansen}, SIAM J. Sci. Comput. 42, No. 2, A1269--A1288 (2020; Zbl 1442.65031) Full Text: DOI
Dong, Yiqiu; Hansen, Per Christian; Hochstenbach, Michiel E.; Brogaard Riis, Nicolai André Fixing nonconvergence of algebraic iterative reconstruction with an unmatched backprojector. (English) Zbl 1420.65031 SIAM J. Sci. Comput. 41, No. 3, A1822-A1839 (2019). MSC: 65F10 65F15 65F22 15A18 15A60 PDFBibTeX XMLCite \textit{Y. Dong} et al., SIAM J. Sci. Comput. 41, No. 3, A1822--A1839 (2019; Zbl 1420.65031) Full Text: DOI arXiv
Hansen, Per Christian; Dong, Yiqiu; Abe, Kuniyoshi Hybrid enriched bidiagonalization for discrete ill-posed problems. (English) Zbl 1449.65093 Numer. Linear Algebra Appl. 26, No. 3, e2230, 9 p. (2019). MSC: 65F22 65F10 15A29 PDFBibTeX XMLCite \textit{P. C. Hansen} et al., Numer. Linear Algebra Appl. 26, No. 3, e2230, 9 p. (2019; Zbl 1449.65093) Full Text: DOI Link
Soltani, Sara; Kilmer, Misha E.; Hansen, Per Christian A tensor-based dictionary learning approach to tomographic image reconstruction. (English) Zbl 1355.65036 BIT 56, No. 4, 1425-1454 (2016). MSC: 65D18 65F22 94A08 15A69 15A23 68T05 90C25 65K05 PDFBibTeX XMLCite \textit{S. Soltani} et al., BIT 56, No. 4, 1425--1454 (2016; Zbl 1355.65036) Full Text: DOI arXiv
Jørgensen, Jakob S.; Sidky, Emil Y.; Hansen, Per Christian; Pan, Xiaochuan Empirical average-case relation between undersampling and sparsity in X-ray CT. (English) Zbl 1332.90393 Inverse Probl. Imaging 9, No. 2, 431-446 (2015). MSC: 90C90 15A29 44A12 94A08 PDFBibTeX XMLCite \textit{J. S. Jørgensen} et al., Inverse Probl. Imaging 9, No. 2, 431--446 (2015; Zbl 1332.90393) Full Text: DOI arXiv
Fierro, Ricardo D.; Hansen, Per Christian UTV Expansin pack: Special-purpose rank-revealing algorithms. (English) Zbl 1079.65026 Numer. Algorithms 40, No. 1, 47-66 (2005). MSC: 65F05 65Y15 15-04 65F25 PDFBibTeX XMLCite \textit{R. D. Fierro} and \textit{P. C. Hansen}, Numer. Algorithms 40, No. 1, 47--66 (2005; Zbl 1079.65026) Full Text: DOI
Hansen, Per Christian Rank-deficient and discrete ill-posed problems. Numerical aspects of linear inversion. (English) Zbl 0890.65037 SIAM Monographs on Mathematical Modeling and Computation, 4. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 247 p. (1997). Reviewer: C.W.Groetsch (Cincinnati) MSC: 65F20 65J20 47A50 15A09 65R30 45B05 65-02 PDFBibTeX XMLCite \textit{P. C. Hansen}, Rank-deficient and discrete ill-posed problems. Numerical aspects of linear inversion. Philadelphia, PA: SIAM (1997; Zbl 0890.65037) Full Text: DOI
Hansen, Per Christian; Chan, Tony F. Corrigendum: Algorithm 729. FORTRAN subroutines for general Toeplitz systems. (English) Zbl 0894.65011 ACM Trans. Math. Softw. 20, No. 1, 160 (1994). MSC: 65F05 15-04 65F35 65Y15 PDFBibTeX XMLCite \textit{P. C. Hansen} and \textit{T. F. Chan}, ACM Trans. Math. Softw. 20, No. 1, 160 (1994; Zbl 0894.65011) Full Text: DOI Link
Hansen, Per Christian; Chan, Tony F. FORTRAN subroutines for general Toeplitz systems. (English) Zbl 0894.65010 ACM Trans. Math. Softw. 18, No. 3, 256-273 (1992). MSC: 65F05 15-04 65F35 65Y15 PDFBibTeX XMLCite \textit{P. C. Hansen} and \textit{T. F. Chan}, ACM Trans. Math. Softw. 18, No. 3, 256--273 (1992; Zbl 0894.65010) Full Text: DOI Link
Hansen, Per Christian The 2-norm of random matrices. (English) Zbl 0656.15013 J. Comput. Appl. Math. 23, No. 1, 117-120 (1988). Reviewer: D.Petz MSC: 15B52 15A60 PDFBibTeX XMLCite \textit{P. C. Hansen}, J. Comput. Appl. Math. 23, No. 1, 117--120 (1988; Zbl 0656.15013) Full Text: DOI
Hansen, Per Christian The truncated SVD as a method for regularization. (English) Zbl 0633.65041 BIT 27, 534-553 (1987). Reviewer: V.S.Zajačkovski MSC: 65F20 65F15 15A18 62J05 65C99 PDFBibTeX XMLCite \textit{P. C. Hansen}, BIT 27, 534--553 (1987; Zbl 0633.65041) Full Text: DOI
Hansen, Per Christian Detection of near-singularity in Cholesky and \(LDL^ T\) factorizations. (English) Zbl 0627.65040 J. Comput. Appl. Math. 19, 293-299 (1987). Reviewer: J.Abaffy MSC: 65F15 65F05 15A23 65F50 PDFBibTeX XMLCite \textit{P. C. Hansen}, J. Comput. Appl. Math. 19, 293--299 (1987; Zbl 0627.65040) Full Text: DOI