# zbMATH — the first resource for mathematics

## Byrne, Charles L.

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 Author ID: byrne.charles-jun Published as: Byrne, C. L.; Byrne, Charles; Byrne, Charles L.; Byrne, Charles jun. Homepage: http://faculty.uml.edu/cbyrne/cbyrne.html
 Documents Indexed: 45 Publications since 1972, including 5 Books
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#### Co-Authors

 23 single-authored 5 Fitzgerald, Raymond M. 3 Censor, Yair 3 Sullivan, Francis E. 2 Eggermont, Paul P. B. 2 Fiddy, Michael A. 2 Qranfal, Joe 1 August, John 1 Butnariu, Dan 1 Cohen, Henry Bruce 1 Gibali, Aviv 1 Haughton, Dominique M. A. 1 Jiang, Tom J. 1 Jones, Lee Kenneth 1 Lee, Jongsoo 1 Reich, Simeon 1 Wells, David M. 1 Wombell, Richard J.
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#### Serials

 8 Inverse Problems 3 Journal of Nonlinear and Convex Analysis 2 IEEE Transactions on Information Theory 2 Journal of Mathematical Analysis and Applications 2 SIAM Journal on Applied Mathematics 2 Journal of Convex Analysis 2 International Transactions in Operational Research 2 International Journal of Pure and Applied Mathematics 2 Monographs and Research Notes in Mathematics 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Journal of Optimization Theory and Applications 1 Kyungpook Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Annals of Operations Research 1 IEEE Transactions on Acoustics, Speech, and Signal Processing 1 Journal of the Australian Mathematical Society. Series A 1 IEEE Transactions on Image Processing
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#### Fields

 22 Numerical analysis (65-XX) 16 Operations research, mathematical programming (90-XX) 12 Statistics (62-XX) 12 Information and communication theory, circuits (94-XX) 7 Systems theory; control (93-XX) 6 Operator theory (47-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Functional analysis (46-XX) 4 Probability theory and stochastic processes (60-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 General topology (54-XX) 2 Computer science (68-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Partial differential equations (35-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

27 Publications have been cited 1,199 times in 799 Documents Cited by Year
A unified treatment of some iterative algorithms in signal processing and image reconstruction. Zbl 1051.65067
Byrne, Charles
2004
Iterative oblique projection onto convex sets and the split feasibility problem. Zbl 0996.65048
Byrne, Charles
2002
The split common null point problem. Zbl 1262.47073
Byrne, Charles; Censor, Yair; Gibali, Aviv; Reich, Simeon
2012
Applied iterative methods. Zbl 1140.65001
Byrne, Charles L.
2008
Proximity function minimization using multiple Bregman projections, with applications to split feasibility and Kullback–Leibler distance minimization. Zbl 1012.90035
Byrne, Charles; Censor, Yair
2001
Remarks on the set-valued integrals of Debreu and Aumann. Zbl 0373.28005
Byrne, Charles L.
1978
General entropy criteria for inverse problems, with applications to data compression, pattern classification, and cluster analysis. Zbl 0731.62016
Jones, Lee K.; Byrne, Charles L.
1990
Bregman-Legendre multidistance projection algorithms for convex feasibility and optimization. Zbl 0990.90094
Byrne, Charles
2001
Iterative optimization in inverse problems. Zbl 1285.65035
Byrne, Charles L.
2014
Iterative projection onto convex sets using multiple Bregman distances. Zbl 0940.65072
Byrne, Charles
1999
Sequential unconstrained minimization algorithms for constrained optimization. Zbl 1357.90151
Byrne, Charles
2008
Accelerating the EMML algorithm and related iterative algorithms by rescaled block-iterative methods. Zbl 0973.94500
Byrne, Charles L.
1998
Iterative algorithms for deblurring and deconvolution with constraints. Zbl 0913.65128
Byrne, Charles
1998
Block-iterative algorithms. Zbl 1196.94014
Byrne, Charles
2009
Alternating minimization as sequential unconstrained minimization: a survey. Zbl 1262.90164
Byrne, Charles L.
2013
Block-iterative interior point optimization methods for image reconstruction from limited data. Zbl 0992.90078
Byrne, Charles
2000
Iterative reconstruction algorithms based on cross-entropy minimization. Zbl 0925.62030
Byrne, Charles
1996
An elementary proof of convergence for the forward-backward splitting algorithm. Zbl 1350.65065
Byrne, Charles L.
2014
Bounds on the largest singular value of a matrix and the convergence of simultaneous and block-iterative algorithms for sparse linear systems. Zbl 1191.65026
Byrne, Charles
2009
Signal processing. A mathematical approach. Zbl 1088.94006
Byrne, Charles L.
2005
Redundant axioms in the definition of Bregman functions. Zbl 1091.90077
Butnariu, Dan; Byrne, Charles; Censor, Yair
2003
Images as power spectra; reconstruction as a Wiener filter approximation. Zbl 0825.94091
Byrne, Charles L.; Fiddy, Michael A.
1988
Smart filter for dynamic spect image reconstruction. Zbl 1239.93123
Qranfal, Joe; Byrne, Charles
2011
EM filter for time-varying spect reconstruction. Zbl 1239.93122
Qranfal, Joe; Byrne, Charles
2011
Spectral estimators that extend the maximum entropy and maximum likelihood methods. Zbl 0544.62088
Byrne, Charles L.; Fitzgerald, Raymond M.
1984
Reconstruction from partial information with applications to tomography. Zbl 0502.41007
Byrne, Charles L.; Fitzgerald, Raymond M.
1982
Contractive projections with contractive complement in $$L_ p$$ space. Zbl 0232.46034
Byrne, Charles jun.; Sullivan, Francis E.
1972
Iterative optimization in inverse problems. Zbl 1285.65035
Byrne, Charles L.
2014
An elementary proof of convergence for the forward-backward splitting algorithm. Zbl 1350.65065
Byrne, Charles L.
2014
Alternating minimization as sequential unconstrained minimization: a survey. Zbl 1262.90164
Byrne, Charles L.
2013
The split common null point problem. Zbl 1262.47073
Byrne, Charles; Censor, Yair; Gibali, Aviv; Reich, Simeon
2012
Smart filter for dynamic spect image reconstruction. Zbl 1239.93123
Qranfal, Joe; Byrne, Charles
2011
EM filter for time-varying spect reconstruction. Zbl 1239.93122
Qranfal, Joe; Byrne, Charles
2011
Block-iterative algorithms. Zbl 1196.94014
Byrne, Charles
2009
Bounds on the largest singular value of a matrix and the convergence of simultaneous and block-iterative algorithms for sparse linear systems. Zbl 1191.65026
Byrne, Charles
2009
Applied iterative methods. Zbl 1140.65001
Byrne, Charles L.
2008
Sequential unconstrained minimization algorithms for constrained optimization. Zbl 1357.90151
Byrne, Charles
2008
Signal processing. A mathematical approach. Zbl 1088.94006
Byrne, Charles L.
2005
A unified treatment of some iterative algorithms in signal processing and image reconstruction. Zbl 1051.65067
Byrne, Charles
2004
Redundant axioms in the definition of Bregman functions. Zbl 1091.90077
Butnariu, Dan; Byrne, Charles; Censor, Yair
2003
Iterative oblique projection onto convex sets and the split feasibility problem. Zbl 0996.65048
Byrne, Charles
2002
Proximity function minimization using multiple Bregman projections, with applications to split feasibility and Kullback–Leibler distance minimization. Zbl 1012.90035
Byrne, Charles; Censor, Yair
2001
Bregman-Legendre multidistance projection algorithms for convex feasibility and optimization. Zbl 0990.90094
Byrne, Charles
2001
Block-iterative interior point optimization methods for image reconstruction from limited data. Zbl 0992.90078
Byrne, Charles
2000
Iterative projection onto convex sets using multiple Bregman distances. Zbl 0940.65072
Byrne, Charles
1999
Accelerating the EMML algorithm and related iterative algorithms by rescaled block-iterative methods. Zbl 0973.94500
Byrne, Charles L.
1998
Iterative algorithms for deblurring and deconvolution with constraints. Zbl 0913.65128
Byrne, Charles
1998
Iterative reconstruction algorithms based on cross-entropy minimization. Zbl 0925.62030
Byrne, Charles
1996
General entropy criteria for inverse problems, with applications to data compression, pattern classification, and cluster analysis. Zbl 0731.62016
Jones, Lee K.; Byrne, Charles L.
1990
Images as power spectra; reconstruction as a Wiener filter approximation. Zbl 0825.94091
Byrne, Charles L.; Fiddy, Michael A.
1988
Spectral estimators that extend the maximum entropy and maximum likelihood methods. Zbl 0544.62088
Byrne, Charles L.; Fitzgerald, Raymond M.
1984
Reconstruction from partial information with applications to tomography. Zbl 0502.41007
Byrne, Charles L.; Fitzgerald, Raymond M.
1982
Remarks on the set-valued integrals of Debreu and Aumann. Zbl 0373.28005
Byrne, Charles L.
1978
Contractive projections with contractive complement in $$L_ p$$ space. Zbl 0232.46034
Byrne, Charles jun.; Sullivan, Francis E.
1972
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#### Cited by 803 Authors

 40 Ceng, Lu-Chuan 39 Yao, Yonghong 37 Shehu, Yekini 33 Liou, Yeongcheng 32 Yao, Jen-Chih 28 Chang, Shih-Sen 24 Wen, Chingfeng 22 Wang, Lin 20 Chen, Rudong 20 Kumam, Poom 20 Xu, Hong-Kun 19 Cholamjiak, Prasit 17 Suantai, Suthep 17 Zegeye, Habtu 16 Ansari, Qamrul Hasan 16 Mewomo, Oluwatosin Temitope 16 Reich, Simeon 16 Wang, Fenghui 15 Censor, Yair 15 Eslamian, Mohammad 15 Kazmi, Kaleem Raza 15 Tang, Yuchao 15 Tian, Ming 14 Cho, Yeol Je 14 He, Songnian 13 Dong, Qiaoli 13 Shahzad, Naseer 12 Dang, Yazheng 12 Trương Minh Tuyên 11 Chuang, Chih-Sheng 11 Marino, Giuseppe 11 Zhao, Jing 10 Gibali, Aviv 10 Iyiola, Olaniyi Samuel 10 Kang, Shin Min 10 Shi, Luoyi 10 Sunthrayuth, Pongsakorn 10 Zhou, Haiyun 9 Deepho, Jitsupa 9 Izuchukwu, Chinedu 9 Latif, Abdul 9 Qin, Xiaolong 8 Gao, Yan 8 Liu, Liwei 8 Ogbuisi, Ferdinard Udochukwu 8 Postolache, Mihai 7 Cegielski, Andrzej 7 Combettes, Patrick L. 7 Li, Meixia 7 Lin, Lai-Jiu 7 Pang, Chin-Tzong 7 Takahashi, Wataru 7 Wang, Peiyuan 6 Ali, Rehan 6 Byrne, Charles L. 6 Che, Haitao 6 Cho, Sun Young 6 Dương Việt Thông 6 Gil, María Angeles 6 Kim, Tae Hwa 6 López-Díaz, Miguel 6 Ma, Zhaoli 6 Majee, Prashanta 6 Nahak, Chandal 6 Needell, Deanna 6 Rizvi, Shuja Haider 6 Sahu, Daya Ram 6 Wu, Yujing 6 Yao, Zhangsong 6 Zhu, Lijun 5 Chidume, Charles Ejike 5 Deng, Weiqi 5 Jailoka, Pachara 5 Kim, Jong Kyu 5 Li, Xiaohuan 5 Liao, Cheng-Wen 5 Maingé, Paul-Emile 5 Moudafi, Abdellatif 5 Ofoedu, Eric U. 5 Okeke, Chibueze Christian 5 Petrot, Narin 5 Qu, Biao 5 Sitthithakerngkiet, Kanokwan 5 Wang, Yaqin 5 Yang, Li 5 Yang, Qingzhi 5 Yoshinaga, Tetsuya 5 Yu, Zenn-Tsuen 4 Bnouhachem, Abdellah 4 Chen, Jinzuo 4 Chidume, C. O. 4 Cui, Huanhuan 4 He, Huimin 4 Hong, Chung-Chien 4 Kesornprom, Suparat 4 Kong, Zhaorong 4 Martínez-Moreno, Juan 4 Peng, Jigen 4 Tang, Yongkun 4 Wang, Xiongrui ...and 703 more Authors
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#### Cited in 150 Serials

 84 Fixed Point Theory and Applications 58 Journal of Inequalities and Applications 54 Abstract and Applied Analysis 46 Optimization 42 Numerical Algorithms 32 Journal of Nonlinear Science and Applications 25 Journal of Fixed Point Theory and Applications 24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 24 Numerical Functional Analysis and Optimization 24 Journal of Applied Mathematics 19 Journal of Optimization Theory and Applications 19 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 13 Journal of Mathematical Analysis and Applications 12 Journal of Global Optimization 10 Applied Mathematics and Computation 10 Journal of Computational and Applied Mathematics 10 Optimization Letters 9 Computational Optimization and Applications 8 Linear Algebra and its Applications 8 Computational and Applied Mathematics 8 Mathematical Problems in Engineering 8 Thai Journal of Mathematics 8 Journal of Function Spaces 7 SIAM Journal on Optimization 6 Computers & Mathematics with Applications 6 Optimization Methods & Software 6 Afrika Matematika 5 Information Sciences 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Journal of Applied Mathematics and Computing 5 Mediterranean Journal of Mathematics 4 Inverse Problems 4 Calcolo 4 European Journal of Operational Research 4 International Journal of Computer Mathematics 4 Mathematical Programming. Series A. Series B 4 Journal of Mathematical Imaging and Vision 4 Journal of Industrial and Management Optimization 3 Acta Mathematica Vietnamica 3 Fuzzy Sets and Systems 3 International Journal of Mathematics and Mathematical Sciences 3 Quaestiones Mathematicae 3 Acta Applicandae Mathematicae 3 Journal of Scientific Computing 3 SIAM Journal on Scientific Computing 3 International Transactions in Operational Research 3 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 3 Journal of Function Spaces and Applications 3 Inverse Problems and Imaging 3 Journal of Nonlinear Analysis and Optimization: Theory & Applications 3 Mathematical Sciences 3 Korean Journal of Mathematics 2 Applicable Analysis 2 Bulletin of the Australian Mathematical Society 2 Mathematical Methods in the Applied Sciences 2 Applied Mathematics and Optimization 2 Mathematical and Computer Modelling 2 SIAM Journal on Matrix Analysis and Applications 2 Applied Mathematics. Series B (English Edition) 2 Journal of the Egyptian Mathematical Society 2 Arab Journal of Mathematical Sciences 2 Vietnam Journal of Mathematics 2 Novi Sad Journal of Mathematics 2 Acta Mathematica Sinica. English Series 2 Inverse Problems in Science and Engineering 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Banach Journal of Mathematical Analysis 2 Asian-European Journal of Mathematics 2 Algorithms 2 Symmetry 2 ISRN Mathematical Analysis 2 Arabian Journal of Mathematics 2 Journal of Applied Analysis and Computation 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 The Annals of Statistics 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Archiv der Mathematik 1 Journal of Approximation Theory 1 Journal of Multivariate Analysis 1 Journal of Soviet Mathematics 1 Journal of Statistical Planning and Inference 1 Matematički Vesnik 1 Mathematische Zeitschrift 1 Opsearch 1 Real Analysis Exchange 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Statistics & Probability Letters 1 Journal of Time Series Analysis 1 Circuits, Systems, and Signal Processing 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Mathematica Hungarica 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 Neural Computation 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics ...and 50 more Serials
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#### Cited in 32 Fields

 551 Operator theory (47-XX) 283 Numerical analysis (65-XX) 260 Operations research, mathematical programming (90-XX) 182 Calculus of variations and optimal control; optimization (49-XX) 34 Information and communication theory, circuits (94-XX) 29 General topology (54-XX) 24 Functional analysis (46-XX) 23 Computer science (68-XX) 18 Statistics (62-XX) 12 Measure and integration (28-XX) 12 Probability theory and stochastic processes (60-XX) 12 Biology and other natural sciences (92-XX) 11 Real functions (26-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Global analysis, analysis on manifolds (58-XX) 7 Mathematical logic and foundations (03-XX) 7 Approximations and expansions (41-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Ordinary differential equations (34-XX) 3 Partial differential equations (35-XX) 3 Convex and discrete geometry (52-XX) 3 Systems theory; control (93-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 1 Nonassociative rings and algebras (17-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX)