The DOI matches its Crossref record.
Solving Least Squares Problems
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“To mitigate this bias, one strategy is to weight current sources by the norm of the EEG/MEG signals that can be generated by each of them with a unitary magnitude. Introducing this weighting to MN regularization leads to the so-called weighted minimum norm (WMN) solution (24–27).”
From Electrophysiological source imaging: A noninvasive window to brain dynamics (2018) · cites this paper as [25]
Citations
Cited by
Sorted by citations
Items 601–700 of 1,008
Gusman, A. R., Tanioka, Y., Sakai, S., et al. (2012) · Earth and Planetary Science Letters · doi:10.1016/j.epsl.2012.06.006 · Cited by 117
Feng, G., Hetland, E. A., Ding, X., et al. (2010) · Geophysical Research Letters · doi:10.1029/2009gl041213 · Cited by 117
A meshless method for some inverse problems associated with the Helmholtz equation
Jin, B., & Zheng, Y. (2005) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2005.05.013 · Cited by 117
On the Solution of the Tikhonov Regularization of the Total Least Squares Problem
Beck, A., & Ben‐Tal, A. (2006) · SIAM Journal on Optimization · doi:10.1137/050624418 · Cited by 117
Estimation of parameters in geotechnical backanalysis — I. Maximum likelihood approach
Ledesma, A., Gens, A., & de Ágreda, E. A. P. (1996) · Computers and Geotechnics · doi:10.1016/0266-352x(95)00021-2 · Cited by 116
Cytotoxic Cell Granule-mediated Apoptosis
Raja, S. M., Wang, B., Dantuluri, M., et al. (2002) · Journal of Biological Chemistry · doi:10.1074/jbc.m209607200 · Cited by 116
Qiao, W., Quon, G., Csaszar, E., Yu, M., Morris, Q., & Zandstra, P. W. (2012) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1002838 · Cited by 115
A Topological Map of the Compartmentalized Arabidopsis thaliana Leaf Metabolome
Krueger, S., Giavalisco, P., Krall, L., Steinhauser, M.-C., Büssis, D., Usadel, B., Flügge, U., Fernie, A. R., Willmitzer, L., & Steinhauser, D. (2011) · PLoS ONE · doi:10.1371/journal.pone.0017806 · Cited by 114
Outerbridge, K. C., Dixon, T. H., Schwartz, S. Y., et al. (2010) · Journal of Geophysical Research Atmospheres · doi:10.1029/2009jb006845 · Cited by 115
Appropriate choice of aggregation operators in fuzzy decision support systems
Beliakov, G., & Warren, J. (2001) · IEEE Transactions on Fuzzy Systems · doi:10.1109/91.971696 · Cited by 115
Lian, D., Zheng, K., Ge, Y., Cao, L., Chen, E., & Xie, X. (2018) · ACM Transactions on Information Systems · doi:10.1145/3182166 · Cited by 114
Fujii, Y., & Satake, K. (2024) · Earth Planets and Space · doi:10.1186/s40623-024-01991-z · Cited by 115
A Quaternion Framework for Color Image Smoothing and Segmentation
Subakan, Ö. N., & Vemuri, B. C. (2010) · International Journal of Computer Vision · doi:10.1007/s11263-010-0388-9 · Cited by 115
Krajnović, D., Cappellari, M., Emsellem, É., et al. (2005) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2005.08715.x · Cited by 115
Guanter, L., Alonso, L., Gómez‐Chova, L., et al. (2010) · Journal of Geophysical Research Atmospheres · doi:10.1029/2009jd013716 · Cited by 115
Inferring crustal structure in the Aleutian island arc from a sparse wide‐angle seismic data set
Avendonk, H. J. A. V., Shillington, D. J., Holbrook, W. S., et al. (2004) · Geochemistry Geophysics Geosystems · doi:10.1029/2003gc000664 · Cited by 115
Zisser, N., Kemna, A., & Nover, G. (2010) · Geophysics · doi:10.1190/1.3413260 · Cited by 115
Linear prediction spectral analysis of NMR data
Koehl, P. (1999) · Progress in Nuclear Magnetic Resonance Spectroscopy · doi:10.1016/s0079-6565(99)00002-3 · Cited by 113
Seismic attenuation tomography of the Tonga‐Fiji region using phase pair methods
Roth, E. G., Wiens, D. A., Dorman, L. M., et al. (1999) · Journal of Geophysical Research Atmospheres · doi:10.1029/1998jb900052 · Cited by 115
The Inverse Problem of Electrocardiography
Pullan, A. J., Cheng, L. K., Nash, M. P., Ghodrati, A., MacLeod, R., & Brooks, D. H. (2010) · Springer eBooks · doi:10.1007/978-1-84882-046-3_9 · Cited by 116
Berlin, K., Castañeda, C. A., Schneidman‐Duhovny, D., Šali, A., Nava-Tudela, A., & Fushman, D. (2013) · Journal of the American Chemical Society · doi:10.1021/ja4083717 · Cited by 114
Page, M. T., van der Elst, N. J., Hardebeck, J. L., et al. (2016) · Bulletin of the Seismological Society of America · doi:10.1785/0120160073 · Cited by 114
Klioner, S. A., Lindegren, L., Mignard, F., et al. (2022) · Astronomy and Astrophysics · doi:10.1051/0004-6361/202243483 · Cited by 114
Quantitative Near Infrared Spectroscopy Measurement of Cerebral Hemodynamics in Newborn Piglets
Brown, D. W., Picot, P. A., Gharavi, J., Springett, R., Delpy, D. T., & Lee, T. (2002) · Pediatric Research · doi:10.1203/00006450-200205000-00004 · Cited by 113
Relation between stress heterogeneity and aftershock rate in the rate‐and‐state model
Helmstetter, A., & Shaw, B. E. (2006) · Journal of Geophysical Research Atmospheres · doi:10.1029/2005jb004077 · Cited by 114
Flexural ridges, trenches, and outer rises around coronae on Venus
Sandwell, D. T., & Schubert, G. (1992) · Journal of Geophysical Research Atmospheres · doi:10.1029/92je01274 · Cited by 114
Perturbation Theory for the Least Squares Problem with Linear Equality Constraints
Eldén, L. (1980) · SIAM Journal on Numerical Analysis · doi:10.1137/0717028 · Cited by 114
How many parameters can a model have and still be testable?
Bamber, D., & van Santen, J. P. H. (1985) · Journal of Mathematical Psychology · doi:10.1016/0022-2496(85)90005-7 · Cited by 113
Historical developments in convergence analysis for Newton's and Newton-like methods
Yamamoto, T. (2000) · Journal of Computational and Applied Mathematics · doi:10.1016/s0377-0427(00)00417-9 · Cited by 113
Using internal magnetic fields to obtain pore size distributions of porous media
Song, Y. (2003) · Concepts in Magnetic Resonance Part A · doi:10.1002/cmr.a.10072 · Cited by 113
A New Method of Broad-Band Equalization Applied to Microwave Amplifiers
Carlin, H. J., & Komiak, J. J. (1979) · IEEE Transactions on Microwave Theory and Techniques · doi:10.1109/tmtt.1979.1129569 · Cited by 113
Babiloni, F., Babiloni, C., Carducci, F., Fattorini, L., Anello, C., Onorati, P., & Urbano, A. (1997) · Electroencephalography and Clinical Neurophysiology · doi:10.1016/s0921-884x(96)96508-x · Cited by 112
Applications of small-angle X-ray scattering to biomacromolecular solutions
Petoukhov, M. V., & Svergun, D. I. (2012) · The International Journal of Biochemistry & Cell Biology · doi:10.1016/j.biocel.2012.10.017 · Cited by 112
Vavasour, I. M., Whittall, K. P., MacKay, A. L., Li, D. K. B., Vorobeychik, G., & Paty, D. W. (1998) · Magnetic Resonance in Medicine · doi:10.1002/mrm.1910400518 · Cited by 111
Integral feasible prestress of cable domes
Yuan, X., & Dong, S. (2003) · Computers & Structures · doi:10.1016/s0045-7949(03)00254-2 · Cited by 112
Interest Rate Term Structure Estimation with Exponential Splines: A Note
Shea, G. S. (1985) · The Journal of Finance · doi:10.1111/j.1540-6261.1985.tb04952.x · Cited by 112
Simulation of Optical Remote-Sensing Scenes With Application to the EnMAP Hyperspectral Mission
Guanter, L., Segl, K., & Kaufmann, H. (2009) · IEEE Transactions on Geoscience and Remote Sensing · doi:10.1109/tgrs.2008.2011616 · Cited by 111
A least-squares preconditioner for radial basis functions collocation methods
Ling, L., & Kansa, E. J. (2005) · Advances in Computational Mathematics · doi:10.1007/s10444-004-1809-5 · Cited by 111
Local atomic arrangements in binary alloys
Schönfeld, B. (1999) · Progress in Materials Science · doi:10.1016/s0079-6425(99)00005-5 · Cited by 108
Chemical mass transfer in magmatic processes
Ghiorso, M. S. (1985) · Contributions to Mineralogy and Petrology · doi:10.1007/bf00378254 · Cited by 111
Gennclus: New Models for General Nonhierarchical Clustering Analysis
DeSarbo, W. S. (1982) · Psychometrika · doi:10.1007/bf02293709 · Cited by 111
FOCUS: an alignment-free model to identify organisms in metagenomes using non-negative least squares
Silva, G. G. Z., Cuevas, D., Dutilh, B. E., & Edwards, R. A. (2014) · PeerJ · doi:10.7717/peerj.425 · Cited by 106
A unified formalism for acoustic imaging based on microphone array measurements
Leclère, Q., Pereira, A., Bailly, C., et al. (2017) · International Journal of Aeroacoustics · doi:10.1177/1475472x17718883 · Cited by 110
Ren, P., Wang, J., Snyder, J., Tong, X., & Guo, B. (2011) · ACM Transactions on Graphics · doi:10.1145/2010324.1964940 · Cited by 114
A Principal Components Approach to Combining Regression Estimates
Merz, C. J., & Pazzani, M. J. (1999) · Machine Learning · doi:10.1023/a:1007507221352 · Cited by 109
Neugebauer, P. J. (1997) · International Journal of Shape Modeling · doi:10.1142/s0218654397000070 · Cited by 110
Blennow, A., Engelsen, S. B., Munck, L., et al. (2000) · Carbohydrate Polymers · doi:10.1016/s0144-8617(99)00082-x · Cited by 110
Fujii, Y., & Satake, K. (2012) · Pure and Applied Geophysics · doi:10.1007/s00024-012-0524-2 · Cited by 109
Zheng, X., Yang, D., Yi, T., & Li, H. (2019) · Engineering Structures · doi:10.1016/j.engstruct.2019.109539 · Cited by 110
The 2008 May 29 earthquake doublet in SW Iceland
Decriem, J., Árnadóttir, Þ., Hooper, A. J., Geirsson, H., Freysteinn Sigmundsson, A., Keiding, M., Ófeigsson, B. G., Hreinsdóttir, S., Einarsson, P., Femina, P. C. L., et al. (2010) · Geophysical Journal International · doi:10.1111/j.1365-246x.2010.04565.x · Cited by 107
Noda, T. (2005) · IEEE Transactions on Power Delivery · doi:10.1109/tpwrd.2004.834347 · Cited by 109
Bi-iteration SVD subspace tracking algorithms
Strobach, P. (1997) · IEEE Transactions on Signal Processing · doi:10.1109/78.575696 · Cited by 109
Factorization-Based Texture Segmentation
Yuan, J., Wang, D., & Cheriyadat, A. (2015) · IEEE Transactions on Image Processing · doi:10.1109/tip.2015.2446948 · Cited by 107
System for interactive assembly modelling
Rocheleau, D. N., & Lee, K. (1987) · Computer-Aided Design · doi:10.1016/s0010-4485(87)80047-7 · Cited by 108
Social Spammer Detection with Sentiment Information
Hu, X., Tang, J., Gao, H., & Liu, H. (2014) · Proceedings · doi:10.1109/icdm.2014.141 · Cited by 108
Moment release rate of Cascadia tremor constrained by GPS
Aguiar, A. C., Melbourne, T. I., & Scrivner, C. W. (2009) · Journal of Geophysical Research Atmospheres · doi:10.1029/2008jb005909 · Cited by 107
Real-time force optimization in parallel kinematic chains under inequality constraints
Nahon, M. A., & Angeles, J. (2002) · Proceedings - IEEE International Conference on Robotics and Automation/Proceedings · doi:10.1109/robot.1991.131956 · Cited by 107
Livingstone, R. A., Thompson, J. O. F., Iljina, M., et al. (2012) · The Journal of Chemical Physics · doi:10.1063/1.4765104 · Cited by 106
Source Model for the Tsunami Inside Palu Bay Following the 2018 Palu Earthquake, Indonesia
Gusman, A. R., Supendi, P., Nugraha, A. D., et al. (2019) · Geophysical Research Letters · doi:10.1029/2019gl082717 · Cited by 106
Uplift histories of Africa and Australia from linear inverse modeling of drainage inventories
Rudge, J. F., Roberts, G. G., White, N. J., et al. (2015) · Journal of Geophysical Research Earth Surface · doi:10.1002/2014jf003297 · Cited by 106
Quantifying uncertainty in NMR spectra using Monte Carlo inversion
Prange, M. D., & Song, Y. (2008) · Journal of Magnetic Resonance · doi:10.1016/j.jmr.2008.10.008 · Cited by 106
Variational fitting methods for electronic structure calculations
Dunlap, B. I., Rösch, N., & Trickey, S. B. (2010) · Molecular Physics · doi:10.1080/00268976.2010.518982 · Cited by 106
Reducing errors in the GRACE gravity solutions using regularization
Save, H. V., Bettadpur, S. V., & Tapley, B. D. (2012) · Journal of Geodesy · doi:10.1007/s00190-012-0548-5 · Cited by 106
Numerical methods for generalized least squares problems
Yuan, J. Y. (1996) · Journal of Computational and Applied Mathematics · doi:10.1016/0377-0427(95)00167-0 · Cited by 106
Grain‐size information from the statistical properties of digital images of sediment
Buscombe, D., & Masselink, G. (2008) · Sedimentology · doi:10.1111/j.1365-3091.2008.00977.x · Cited by 106
Advances in Calibration and Imaging Techniques in Radio Interferometry
Rau, U., Bhatnagar, S., Voronkov, M. A., et al. (2009) · Proceedings of the IEEE · doi:10.1109/jproc.2009.2014853 · Cited by 106
Iversen, P., Sørensen, M., Bak, L. K., et al. (2008) · Gastroenterology · doi:10.1053/j.gastro.2008.10.057 · Cited by 106
A spatial regularization approach to parameter estimation for a distributed watershed model
Pokhrel, P., Gupta, H. V., & Wagener, T. (2008) · Water Resources Research · doi:10.1029/2007wr006615 · Cited by 106
Theoretical algorithms for satellite‐derived sea surface temperatures
Barton, I. J., Závody, A. M., O’Brien, D., Cutten, D. R., Saunders, R. W., & Llewellyn‐Jones, D. T. (1989) · Journal of Geophysical Research Atmospheres · doi:10.1029/jd094id03p03365 · Cited by 108
Online routing and battery reservations for electric vehicles with swappable batteries
Adler, J. D., & Mirchandani, P. B. (2014) · Transportation Research Part B Methodological · doi:10.1016/j.trb.2014.09.005 · Cited by 103
Efficient and optimized identification of generalized Maxwell viscoelastic relaxation spectra
Babaei, B., Davarian, A., Pryse, K. M., Elson, E. L., & Genin, G. M. (2015) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2015.10.008 · Cited by 105
LZIFU: an emission-line fitting toolkit for integral field spectroscopy data
Ho, I.-T., Medling, A. M., Groves, B. A., et al. (2016) · Astrophysics and Space Science · doi:10.1007/s10509-016-2865-2 · Cited by 105
Schodlok, M. C., Whitbourn, L. B., Huntington, J. F., et al. (2016) · Australian Journal of Earth Sciences · doi:10.1080/08120099.2016.1231133 · Cited by 105
Sehgal, M. S. B., Gondal, I., & Dooley, L. S. (2005) · Computer applications in the biosciences · doi:10.1093/bioinformatics/bti345 · Cited by 105
Hartzell, S. H., Stewart, G. S., & Mendoza, C. (1991) · Bulletin of the Seismological Society of America · doi:10.1785/bssa0810051518 · Cited by 105
Towards the general circulation of the North Atlantic ocean
Wunsch, C. I., & Grant, B. (1982) · Progress In Oceanography · doi:10.1016/0079-6611(82)90010-6 · Cited by 105
Kubo, H., Suzuki, W., Aoi, S., et al. (2016) · Earth Planets and Space · doi:10.1186/s40623-016-0536-8 · Cited by 104
Machine Learning Applied to Diagnosis of Human Diseases: A Systematic Review
Caballé, N., Castillo, J. L., Gomez-Pulido, J. A., Gomez-Pulido, J. M., & Polo-Luque, M.-L. (2020) · Applied Sciences · doi:10.3390/app10155135 · Cited by 114
Freeform imaging systems: Fermat’s principle unlocks “first time right” design
Duerr, F., & Thienpont, H. (2021) · Light Science & Applications · doi:10.1038/s41377-021-00538-1 · Cited by 104
A reconciled solution of Meltwater Pulse 1A sources using sea-level fingerprinting
Lin, Y., Hibbert, F., Whitehouse, P. L., et al. (2021) · Nature Communications · doi:10.1038/s41467-021-21990-y · Cited by 104
The aggregation behavior of zinc-free insulin studied by small-angle neutron scattering
Pedersen, J. S., Hansen, S. H., & Bauer, R. (1994) · European Biophysics Journal · doi:10.1007/bf00180159 · Cited by 104
Real-Time Estimation of Power System Frequency Using Nonlinear Least Squares
Chudamani, R., Vasudevan, K., & Ramalingam, C. S. (2009) · IEEE Transactions on Power Delivery · doi:10.1109/tpwrd.2009.2021047 · Cited by 104
Sign-constrained least squares estimation for high-dimensional regression
Meinshausen, N. (2013) · Electronic Journal of Statistics · doi:10.1214/13-ejs818 · Cited by 105
Ota, S., Morita, A., Ohnuki, S., Hirata, A., Sekida, S., Okuda, K., Ohya, Y., & Kawano, S. (2018) · Scientific Reports · doi:10.1038/s41598-018-23854-w · Cited by 102
Hao, Y., Yan, M., Heath, B. R., Lei, Y. L., & Xie, Y. (2019) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1006976 · Cited by 103
Aalstad, K., Westermann, S., & Bertino, L. (2020) · Remote Sensing of Environment · doi:10.1016/j.rse.2019.111618 · Cited by 103
Use of the second dimension in PGSE NMR studies of porous media
Callaghan, P. T., Godefroy, S., & Ryland, B. N. (2003) · Magnetic Resonance Imaging · doi:10.1016/s0730-725x(03)00131-0 · Cited by 103
Noise Features for Image Tampering Detection and Steganalysis
Gou, H., Swaminathan, A., & Wu, M. H. (2007) · Proceedings - International Conference on Image Processing · doi:10.1109/icip.2007.4379530 · Cited by 103
Multi-parameter regularization techniques for ill-conditioned linear systems
Brezinski, C., Redivo‐Zaglia, M., Rodriguez, G., & Seatzu, S. (2003) · Numerische Mathematik · doi:10.1007/s00211-002-0435-8 · Cited by 99
Jakubczak, S., & Katabi, D. (2010) · ACM SIGCOMM Conference (SIGCOMM) · doi:10.1145/1851182.1851257 · Cited by 103
Kestens, V., Roebben, G., Herrmann, J., et al. (2016) · Journal of Nanoparticle Research · doi:10.1007/s11051-016-3474-2 · Cited by 103
Deep Spectrum Cartography: Completing Radio Map Tensors Using Learned Neural Models
Shrestha, S., Fu, X., & Hong, M. (2022) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2022.3145190 · Cited by 102
An automatic procedure for co-registration of terrestrial laser scanners and digital cameras
González-Aguilera, D., Rodríguez-Gonzálvez, P., & Gómez-Lahoz, J. (2009) · ISPRS Journal of Photogrammetry and Remote Sensing · doi:10.1016/j.isprsjprs.2008.10.002 · Cited by 117
Stayman, J. W., & Fessler, J. A. (2004) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.2003.823063 · Cited by 102
A Note on Downdating the Cholesky Factorization
Bojańczyk, A. W., Brent, R. P., Dooren, P. V., et al. (1987) · SIAM Journal on Scientific and Statistical Computing · doi:10.1137/0908031 · Cited by 102
A new variant of L-curve for Tikhonov regularization
Rezghi, M., & Hosseini, S. M. (2009) · Journal of Computational and Applied Mathematics · doi:10.1016/j.cam.2009.05.016 · Cited by 101
Li, Z., Yuan, D., Jin, G., Tan, B. H., & He, C. (2015) · ACS Applied Materials & Interfaces · doi:10.1021/acsami.5b09822 · Cited by 101
A constrained robust least squares approach for contaminant release history identification
Sun, A. Y., Painter, S. L., & Wittmeyer, G. W. (2006) · Water Resources Research · doi:10.1029/2005wr004312 · Cited by 101
Neuro-Fuzzy Generalized Predictive Control of Boiler Steam Temperature
Liu, X.-J., & Chan, C. W. (2006) · IEEE Transactions on Energy Conversion · doi:10.1109/tec.2005.853758 · Cited by 101
Nishimura, T., Miura, S., Tachibana, K., et al. (2000) · Tectonophysics · doi:10.1016/s0040-1951(00)00108-6 · Cited by 101
Metadata
- Authors
- Lawson, C. L., & Hanson, R. J.
- Affiliations
- California Institute of Technology (US)
- Venue
- Society for Industrial and Applied Mathematics eBooks
- Published
- 1995-01-01
- OpenAlex
- W2075665712
- Cited by
- 7,103
- References
- 0
- Citations by year
- 2026: 111 · 2025: 129 · 2024: 154 · 2023: 165 · 2022: 183 · 2021: 224 · 2020: 217 · 2019: 237 · 2018: 250 · 2017: 216 · 2016: 210 · 2015: 241 · 2014: 270 · 2013: 265 · 2012: 237
- FWCI
- 45.68
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- Society for Industrial and Applied Mathematics eBooks (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Topics
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Matrix Theory and Algorithms
- Physical Sciences › Mathematics › Applied Mathematics › Statistical and numerical algorithms
- Physical Sciences › Mathematics › Numerical Analysis › Advanced Optimization Algorithms Research
- Keywords
- least-squares problems, linear least squares, nonlinear least squares, numerical linear algebra, iterative methods, singular value decomposition, QR decomposition, condition number, ill-conditioned problems
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review