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In the last decades the Moore-Penrose pseudoinverse has found a wide range of applications in many areas of Science and became a useful tool for physicists dealing, for instance, with optimization problems, with data analysis, with the solution of linear integral equations, etc.
E. H. Moore, “On the reciprocal of the general algebraic matrix”
1920
Earlier work this paper cites.
R. Penrose, “A generalized inverse for matrices”
1955
Earlier work this paper cites.
R. Penrose, “On best approximate solution of linear matrix equations”
1956
Earlier work this paper cites.
A. N. Tikhonov, “‘Solution of incorrectly formulated problems and the regularization method”
1963
Earlier work this paper cites.
H. Andrews and C. Patterson III, “Singular Values Decomposition (SVD) Image Coding”
1976
Earlier work this paper cites.
A. N. Tikhonov and V. A. Arsenin. Solution of Ill-posed Problems
1977
Earlier work this paper cites.
M. Reed and B. Simon. Methods of Modern Mathematical Physics. Vol. 1: Functional Analysis
1979
Earlier work this paper cites.
O. Bratteli and D. W. Robinson. Operator Algebras and Quantum Statistical Mechanics I
1979
Earlier work this paper cites.
Jia-Zhu Wang, Samuel J. Williamson and Lloyd Kaufman, “Magnetic source imaging based on the Minimum-Norm Least-Squares Inverse”
1993
Earlier work this paper cites.
Jia-Zhu Wang, Samuel J. Willianson and Loyd Kaufman, “Spatio-temporal model of neural activity of the human brain based on the MNLS inverse”
1995
Earlier work this paper cites.
N. G. Gençer and S. J. Williamson “Magnetic source images of human brain functions”
1997
Cited alongside, same era.
M. Bertero, P. Boccacci. Introduction to inverse problems in imaging
1998
Cited alongside, same era.
R. Van De Walle, H. H. Barrett, K. J. Myers, M. I. Aitbach, B. Desplanques, A. F. Gmitro, J. Cornelis, I. Lemahieu. “Reconstruction of MR images from data acquired on a general nonregular grid by pseudoinverse calculation”
2000
Cited alongside, same era.
Daniel K. Sodickson and Charles A. McKenzie, “A generalized approach to parallel magnetic resonance imaging”
2001
Cited alongside, same era.
Gabriele Lohmann, Karsten Müller, Volker Bosch, Heiko Mentzel, Sven Hessler, Lin Chen, S. Zysset, D.Yves von Cramon. “Lipsia–a new software system for the evaluation of functional magnetic resonance images of the human brain”
2001
C. W. Groetsch, “Integral equations of the first kind, inverse problems and regularization: a crash course”
2007
Later among the works it cites.
Habib Ammari, An Introduction to Mathematics of Emerging Biomedical Imaging
2008
Later among the works it cites.
M. T. Page, S. Custódio, R. J. Archuleta, and J. M. Carlson. “Constraining earthquake source inversions with GPS data 1: Resolution based removal of artifacts”
2009
Later among the works it cites.
J. E. Steiner, R. B. Menezes, T. V. Ricci and A. S. Oliveira, “PCA Tomography: How to Extract Information from Data Cubes”
2009
Later among the works it cites.
Spiros Chountasis, Vasilios N. Katsikis and Dimitrios Pappas. “Applications of the Moore-Penrose Inverse in Digital Image Restoration”
2009
Later among the works it cites.
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2001
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Christian Hennig and Norbert Christlieb, “Validating visual clusters in large datasets: fixed point clusters of spectral features”
2002
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2002
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2003
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L. Bedini, D. Herranz, E. Salerno, C. Baccigalupi, E. E. Kuruo g ˇ \check{\mathrm{g}} lu and A. Tonazzini, “Separation of correlated astrophysical sources using multiple-lag data covariance matrices”
2005
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2010
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2010
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Spiros Chountasis, Vasilios N. Katsikis and Dimitrios Pappas. “Digital Image Reconstruction in the Spectral Domain Utilizing the Moore-Penrose Inverse”
2010
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Simone Atzori and Andrea Antonioli “Optimal fault resolution in geodetic inversion of coseismic data”
2011
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T. V. Ricci, J. E. Steiner and R. B. Menezes, “NGC 7097: The Active Galactic Nucleus and its Mirror, Revealed by Principal Component Analysis Tomography”
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