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## Elfving, Tommy

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 Author ID: elfving.tommy Published as: Elfving, Tommy; Elfving, T.
 Documents Indexed: 41 Publications since 1973
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#### Co-Authors

 7 single-authored 11 Censor, Yair 9 Nikazad, Touraj 8 Andersson, Lars-Erik 6 Hansen, Per Christian 5 Herman, Gabor T. 3 Björck, Åke 2 Skoglund, Ingegerd 1 Abbasi, Mokhtar 1 Bortfeld, Thomas 1 Chang, Gengzhe 1 de Pierro, Alvaro Rodolfo 1 Eklundh, Jan-Olof 1 Forssén, Per-Erik 1 Golub, Gene Howard 1 Granlund, Gösta H. 1 Iliev, Georgy 1 Iusem, Alfredo Noel 1 Johansson, Björn 1 Kopf, Nirit 1 Strakous, Zdenuek 1 Vlachkova, Krassimira
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#### Serials

 4 Inverse Problems 4 Linear Algebra and its Applications 4 SIAM Journal on Scientific Computing 3 Numerische Mathematik 3 SIAM Journal on Matrix Analysis and Applications 3 Numerical Algorithms 2 Journal of Approximation Theory 2 Mathematical and Computer Modelling 2 Numerical Linear Algebra with Applications 1 Mathematical Methods in the Applied Sciences 1 BIT 1 Journal of Computational and Applied Mathematics 1 SIAM Journal on Scientific and Statistical Computing 1 SIAM Journal on Algebraic and Discrete Methods 1 Computer Graphics and Image Processing 1 Journal of Inverse and Ill-Posed Problems 1 ETNA. Electronic Transactions on Numerical Analysis 1 Abstract and Applied Analysis 1 BIT. Nordisk Tidskrift for Informationsbehandling
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#### Fields

 32 Numerical analysis (65-XX) 13 Operations research, mathematical programming (90-XX) 6 Biology and other natural sciences (92-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Approximations and expansions (41-XX) 4 Integral transforms, operational calculus (44-XX) 3 Computer science (68-XX) 3 Information and communication theory, circuits (94-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX)

#### Citations contained in zbMATH Open

38 Publications have been cited 1,318 times in 925 Documents Cited by Year
A multiprojection algorithm using Bregman projections in a product space. Zbl 0828.65065
Censor, Yair; Elfving, Tommy
1994
The multiple-sets split feasibility problem and its applications for inverse problems. Zbl 1089.65046
Censor, Yair; Elfving, Tommy; Kopf, Nirit; Bortfeld, Thomas
2005
Block-iterative methods for consistent and inconsistent linear equations. Zbl 0416.65031
Elfving, Tommy
1980
Accelerated projection methods for computing pseudoinverse solutions of systems of linear equations. Zbl 0409.65022
Björck, Åke; Elfving, Tommy
1979
Block-iterative algorithms with diagonally scaled oblique projections for the linear feasibility problem. Zbl 1028.90034
Censor, Yair; Elfving, Tommy
2002
On diagonally relaxed orthogonal projection methods. Zbl 1159.65317
Censor, Yair; Elfving, Tommy; Herman, Gabor T.; Nikazad, Touraj
2008
Criteria for copositive matrices using simplices and barycentric coordinates. Zbl 0826.15016
Andersson, Lars-Erik; Chang, Gengzhe; Elfving, Tommy
1995
Averaging strings of sequential iterations for convex feasibility problems. Zbl 1160.65320
Censor, Y.; Elfving, T.; Herman, G. T.
2001
An algorithm for computing constrained smoothing spline functions. Zbl 0622.41006
1988
New methods for linear inequalities. Zbl 0479.65039
Censor, Yair; Elfving, Tommy
1982
On some methods for entropy maximization and matrix scaling. Zbl 0458.65052
Elfving, Tommy
1980
Algorithms for confluent Vandermonde systems. Zbl 0255.65018
Björck, Åke; Elfving, Tommy
1973
Semi-convergence and relaxation parameters for a class of SIRT algorithms. Zbl 1205.65148
Elfving, Tommy; Nikazad, Touraj; Hansen, Per Christian
2010
Semiconvergence and relaxation parameters for projected SIRT algorithms. Zbl 1254.65044
Elfving, Tommy; Hansen, Per Christian; Nikazad, Touraj
2012
Semi-convergence properties of Kaczmarz’s method. Zbl 1296.65054
Elfving, Tommy; Hansen, Per Christian; Nikazad, Touraj
2014
Stability of conjugate gradient and Lanczos methods for linear least squares problems. Zbl 0924.65035
Björck, Åke; Elfving, Tommy; Strakous, Zdenuek
1998
Solution of biharmonic equations with application to radar imaging. Zbl 0933.65128
Andersson, Lars-Erik; Elfving, Tommy; Golub, Gene H.
1998
A constrained Procrustes problem. Zbl 0880.65017
1997
An algorithm for constrained interpolation. Zbl 0632.65008
1987
Properties of a class of block-iterative methods. Zbl 1184.65036
2009
Interpolation and approximation by monotone cubic splines. Zbl 0739.41005
1991
Stopping rules for Landweber-type iteration. Zbl 1124.65034
2007
An algorithm for maximum entropy image reconstruction from noisy data. Zbl 0691.68102
Elfving, Tommy
1989
On iterative methods for linearly constrained entropy maximization. Zbl 0718.65047
Censor, Yair; de Pierro, Alvaro R.; Elfving, Tommy; Herman, Gabor T.; Iusem, Alfredo N.
1990
Best constrained approximation in Hilbert space and interpolation by cubic splines subject to obstacles. Zbl 0842.41008
1995
Iterative algorithms with seminorm-induced oblique projections. Zbl 1047.90042
Censor, Yair; Elfving, Tommy
2003
Error minimizing relaxation strategies in Landweber and Kaczmarz type iterations. Zbl 1355.65054
Nikazad, Touraj; Abbasi, Mokhtar; Elfving, Tommy
2017
A stationary iterative pseudoinverse algorithm. Zbl 0907.65042
Elfving, Tommy
1998
Interpolation of convex scattered data in $$R^ 3$$ based upon an edge convex minimum norm network. Zbl 0822.41017
Anderson, Lars-Erik; Elfving, Tommy; Iliev, Georgy; Vlachkova, Krassimira
1995
Unmatched projector/backprojector pairs: perturbation and convergence analysis. Zbl 1383.65035
Elfving, Tommy; Hansen, Per Christian
2018
Convergence analysis for column-action methods in image reconstruction. Zbl 1366.65116
Elfving, Tommy; Hansen, Per Christian; Nikazad, Touraj
2017
A method of iterative data refinement and its applications. Zbl 0561.92002
Censor, Y.; Elfving, T.; Herman, G. T.
1985
The application of an oblique-projected Landweber method to a model of supervised learning. Zbl 1130.94014
Johansson, Björn; Elfving, Tommy; Kozlov, Vladimir; Censor, Yair; Forssén, Per-Erik; Granlund, Gösta
2006
Special-purpose algorithms for linearly constrained entropy maximization. Zbl 0626.65055
Censor, Yair; Elfving, Tommy; Herman, Gabor T.
1987
A projection method for semidefinite linear systems and its applications. Zbl 1062.65041
Elfving, Tommy
2004
Some properties of stochastic labeling procedures. Zbl 0532.68086
Elfving, Tommy; Eklundh, Jan-Olof
1982
Constrained regularized least squares problems. Zbl 0768.65013
Elfving, Tommy
1991
A block-preconditioner for a special regularized least-squares problem. Zbl 1199.65129
Elfving, Tommy; Skoglund, Ingegerd
2007
Unmatched projector/backprojector pairs: perturbation and convergence analysis. Zbl 1383.65035
Elfving, Tommy; Hansen, Per Christian
2018
Error minimizing relaxation strategies in Landweber and Kaczmarz type iterations. Zbl 1355.65054
Nikazad, Touraj; Abbasi, Mokhtar; Elfving, Tommy
2017
Convergence analysis for column-action methods in image reconstruction. Zbl 1366.65116
Elfving, Tommy; Hansen, Per Christian; Nikazad, Touraj
2017
Semi-convergence properties of Kaczmarz’s method. Zbl 1296.65054
Elfving, Tommy; Hansen, Per Christian; Nikazad, Touraj
2014
Semiconvergence and relaxation parameters for projected SIRT algorithms. Zbl 1254.65044
Elfving, Tommy; Hansen, Per Christian; Nikazad, Touraj
2012
Semi-convergence and relaxation parameters for a class of SIRT algorithms. Zbl 1205.65148
Elfving, Tommy; Nikazad, Touraj; Hansen, Per Christian
2010
Properties of a class of block-iterative methods. Zbl 1184.65036
2009
On diagonally relaxed orthogonal projection methods. Zbl 1159.65317
Censor, Yair; Elfving, Tommy; Herman, Gabor T.; Nikazad, Touraj
2008
Stopping rules for Landweber-type iteration. Zbl 1124.65034
2007
A block-preconditioner for a special regularized least-squares problem. Zbl 1199.65129
Elfving, Tommy; Skoglund, Ingegerd
2007
The application of an oblique-projected Landweber method to a model of supervised learning. Zbl 1130.94014
Johansson, Björn; Elfving, Tommy; Kozlov, Vladimir; Censor, Yair; Forssén, Per-Erik; Granlund, Gösta
2006
The multiple-sets split feasibility problem and its applications for inverse problems. Zbl 1089.65046
Censor, Yair; Elfving, Tommy; Kopf, Nirit; Bortfeld, Thomas
2005
A projection method for semidefinite linear systems and its applications. Zbl 1062.65041
Elfving, Tommy
2004
Iterative algorithms with seminorm-induced oblique projections. Zbl 1047.90042
Censor, Yair; Elfving, Tommy
2003
Block-iterative algorithms with diagonally scaled oblique projections for the linear feasibility problem. Zbl 1028.90034
Censor, Yair; Elfving, Tommy
2002
Averaging strings of sequential iterations for convex feasibility problems. Zbl 1160.65320
Censor, Y.; Elfving, T.; Herman, G. T.
2001
Stability of conjugate gradient and Lanczos methods for linear least squares problems. Zbl 0924.65035
Björck, Åke; Elfving, Tommy; Strakous, Zdenuek
1998
Solution of biharmonic equations with application to radar imaging. Zbl 0933.65128
Andersson, Lars-Erik; Elfving, Tommy; Golub, Gene H.
1998
A stationary iterative pseudoinverse algorithm. Zbl 0907.65042
Elfving, Tommy
1998
A constrained Procrustes problem. Zbl 0880.65017
1997
Criteria for copositive matrices using simplices and barycentric coordinates. Zbl 0826.15016
Andersson, Lars-Erik; Chang, Gengzhe; Elfving, Tommy
1995
Best constrained approximation in Hilbert space and interpolation by cubic splines subject to obstacles. Zbl 0842.41008
1995
Interpolation of convex scattered data in $$R^ 3$$ based upon an edge convex minimum norm network. Zbl 0822.41017
Anderson, Lars-Erik; Elfving, Tommy; Iliev, Georgy; Vlachkova, Krassimira
1995
A multiprojection algorithm using Bregman projections in a product space. Zbl 0828.65065
Censor, Yair; Elfving, Tommy
1994
Interpolation and approximation by monotone cubic splines. Zbl 0739.41005
1991
Constrained regularized least squares problems. Zbl 0768.65013
Elfving, Tommy
1991
On iterative methods for linearly constrained entropy maximization. Zbl 0718.65047
Censor, Yair; de Pierro, Alvaro R.; Elfving, Tommy; Herman, Gabor T.; Iusem, Alfredo N.
1990
An algorithm for maximum entropy image reconstruction from noisy data. Zbl 0691.68102
Elfving, Tommy
1989
An algorithm for computing constrained smoothing spline functions. Zbl 0622.41006
1988
An algorithm for constrained interpolation. Zbl 0632.65008
1987
Special-purpose algorithms for linearly constrained entropy maximization. Zbl 0626.65055
Censor, Yair; Elfving, Tommy; Herman, Gabor T.
1987
A method of iterative data refinement and its applications. Zbl 0561.92002
Censor, Y.; Elfving, T.; Herman, G. T.
1985
New methods for linear inequalities. Zbl 0479.65039
Censor, Yair; Elfving, Tommy
1982
Some properties of stochastic labeling procedures. Zbl 0532.68086
Elfving, Tommy; Eklundh, Jan-Olof
1982
Block-iterative methods for consistent and inconsistent linear equations. Zbl 0416.65031
Elfving, Tommy
1980
On some methods for entropy maximization and matrix scaling. Zbl 0458.65052
Elfving, Tommy
1980
Accelerated projection methods for computing pseudoinverse solutions of systems of linear equations. Zbl 0409.65022
Björck, Åke; Elfving, Tommy
1979
Algorithms for confluent Vandermonde systems. Zbl 0255.65018
Björck, Åke; Elfving, Tommy
1973
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#### Cited by 1,023 Authors

 32 Censor, Yair 28 Shehu, Yekini 21 Mewomo, Oluwatosin Temitope 21 Suantai, Suthep 21 Yao, Yonghong 20 Chang, Shih-Sen 19 Liou, Yeongcheng 18 Cholamjiak, Prasit 18 Reich, Simeon 18 Wang, Lin 17 Tian, Ming 15 Wang, Fenghui 15 Yao, Jen-Chih 14 Chen, Rudong 14 Dang, Yazheng 14 Elfving, Tommy 14 He, Songnian 13 Cho, Yeol Je 13 Dong, Qiaoli 13 Kumam, Poom 12 Chuang, Chih-Sheng 12 Eslamian, Mohammad 12 Gibali, Aviv 12 Tang, Yuchao 12 Trương Minh Tuyên 11 Ceng, Lu-Chuan 11 Xu, Hong-Kun 11 Zhao, Jing 10 Deepho, Jitsupa 10 Iyiola, Olaniyi Samuel 10 Kazmi, Kaleem Raza 10 Needell, Deanna 10 Nikazad, Touraj 9 Ansari, Qamrul Hasan 9 Gao, Yan 9 Hansen, Per Christian 9 Izuchukwu, Chinedu 9 Jolaoso, Lateef Olakunle 9 Kang, Shin Min 9 Lin, Lai-Jiu 9 Ogbuisi, Ferdinard Udochukwu 9 Shi, Luoyi 9 Takahashi, Wataru 8 Che, Haitao 8 Dax, Achiya 8 Gordon, Dan 8 Li, Meixia 8 Liu, Liwei 8 Wang, Peiyuan 8 Zhou, Haiyun 7 Dương Việt Thông 7 Herman, Gabor T. 7 Ma, Zhaoli 7 Popa, Constantin Gh. 7 Wang, Yaqin 6 Abbasi, Mokhtar 6 Anh, Tran Viet 6 Cegielski, Andrzej 6 He, Huimin 6 Jailoka, Pachara 6 Muu, Le Dung 6 Okeke, Chibueze Christian 6 Qin, Xiaolong 6 Sahu, Daya Ram 6 Taiwo, Adeolu 6 Wen, Chingfeng 6 Yang, Qingzhi 6 Yao, Zhangsong 6 Zenios, Stavros Andrea 6 Zhu, Lijun 5 Cholamjiak, Watcharaporn 5 de Pierro, Alvaro Rodolfo 5 Fang, Xiaoli 5 Fang, Yaping 5 Galba, E. F. 5 Gordon, Rachel 5 Hu, Rong 5 Kim, Jong Kyu 5 Kim, Tae Hwa 5 Latif, Abdul 5 Peng, Jigen 5 Pholasa, Nattawut 5 Qu, Biao 5 Rizvi, Shuja Haider 5 Schmidt, Jochen Wilhelm 5 Sergienko, Ivan Vasylyovych 5 Sitthithakerngkiet, Kanokwan 5 Vinh, Nguyen The 5 Wu, Yujing 5 Yu, Zenn-Tsuen 5 Zalas, Rafał 5 Zegeye, Habtu 4 Abass, Hammed Anuoluwapo 4 Cho, Sun Young 4 Combettes, Patrick L. 4 Fan, Qinwei 4 Ferreira, Orizon Pereira 4 Han, Deren 4 Hong, Chung-Chien 4 Iusem, Alfredo Noel ...and 923 more Authors
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#### Cited in 170 Serials

 57 Fixed Point Theory and Applications 51 Optimization 51 Numerical Algorithms 51 Journal of Inequalities and Applications 47 Linear Algebra and its Applications 39 Abstract and Applied Analysis 33 Journal of Computational and Applied Mathematics 26 Journal of Optimization Theory and Applications 26 Journal of Nonlinear Science and Applications 24 Journal of Fixed Point Theory and Applications 23 Numerical Functional Analysis and Optimization 21 Applied Mathematics and Computation 19 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 16 Computational Optimization and Applications 14 BIT 14 Numerische Mathematik 14 Computational and Applied Mathematics 14 Journal of Applied Mathematics 12 Inverse Problems 12 Journal of Global Optimization 11 SIAM Journal on Scientific Computing 10 Journal of Mathematical Analysis and Applications 10 Mathematical Programming. Series A. Series B 9 Computers & Mathematics with Applications 9 Applied Numerical Mathematics 9 Mathematical Problems in Engineering 9 Optimization Methods & Software 8 International Journal of Computer Mathematics 8 Thai Journal of Mathematics 8 Optimization Letters 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 SIAM Journal on Optimization 6 Mediterranean Journal of Mathematics 6 Afrika Matematika 6 Journal of Function Spaces 5 Calcolo 5 Acta Applicandae Mathematicae 5 SIAM Journal on Matrix Analysis and Applications 5 Journal of Mathematical Sciences (New York) 5 Numerical Linear Algebra with Applications 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Inverse Problems in Science and Engineering 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Journal of Scientific Computing 4 European Journal of Operational Research 4 Cybernetics and Systems Analysis 4 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 4 Journal of Industrial and Management Optimization 4 Journal of Mathematics 4 Journal of Nonlinear and Variational Analysis 3 Journal of Computational Physics 3 Acta Mathematica Vietnamica 3 Journal of Approximation Theory 3 Quaestiones Mathematicae 3 Computer Aided Geometric Design 3 Mathematical and Computer Modelling 3 The Journal of Fourier Analysis and Applications 3 International Transactions in Operational Research 3 Mathematical Methods of Operations Research 3 Acta Mathematica Sinica. English Series 3 SIAM Journal on Imaging Sciences 2 Journal of Engineering Mathematics 2 Mathematical Methods in the Applied Sciences 2 Metrika 2 Mathematics of Computation 2 Applied Mathematics and Optimization 2 Computing 2 Systems & Control Letters 2 Insurance Mathematics & Economics 2 Parallel Computing 2 Computational Statistics and Data Analysis 2 Journal of Mathematical Imaging and Vision 2 Advances in Applied Clifford Algebras 2 Journal of Inverse and Ill-Posed Problems 2 Parallel Algorithms and Applications 2 Vietnam Journal of Mathematics 2 Novi Sad Journal of Mathematics 2 Journal of Function Spaces and Applications 2 Inverse Problems and Imaging 2 Set-Valued and Variational Analysis 2 Symmetry 2 Journal of Nonlinear Analysis and Optimization: Theory & Applications 2 Journal of Applied Analysis and Computation 2 Mathematical Sciences 2 Korean Journal of Mathematics 2 Bollettino dell’Unione Matematica Italiana 1 Bulletin of the Australian Mathematical Society 1 The Canadian Journal of Statistics 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Ukrainian Mathematical Journal 1 Wave Motion 1 Archiv der Mathematik 1 Demonstratio Mathematica 1 Fuzzy Sets and Systems 1 International Journal of Mathematics and Mathematical Sciences 1 Matematički Vesnik ...and 70 more Serials
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#### Cited in 44 Fields

 482 Numerical analysis (65-XX) 441 Operator theory (47-XX) 332 Operations research, mathematical programming (90-XX) 153 Calculus of variations and optimal control; optimization (49-XX) 66 Linear and multilinear algebra; matrix theory (15-XX) 41 Information and communication theory, circuits (94-XX) 35 Computer science (68-XX) 29 Approximations and expansions (41-XX) 27 General topology (54-XX) 21 Biology and other natural sciences (92-XX) 20 Partial differential equations (35-XX) 17 Statistics (62-XX) 12 Functional analysis (46-XX) 10 Integral transforms, operational calculus (44-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Potential theory (31-XX) 8 Systems theory; control (93-XX) 7 Probability theory and stochastic processes (60-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Ordinary differential equations (34-XX) 5 Fluid mechanics (76-XX) 4 Real functions (26-XX) 4 Functions of a complex variable (30-XX) 4 Mechanics of deformable solids (74-XX) 4 Optics, electromagnetic theory (78-XX) 3 General and overarching topics; collections (00-XX) 3 Convex and discrete geometry (52-XX) 3 Geophysics (86-XX) 2 Combinatorics (05-XX) 2 Integral equations (45-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX)