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## Sinkhorn, Richard

Compute Distance To:
 Author ID: sinkhorn.richard Published as: Sinkhorn, Richard; Sinkhorn, R.
 Documents Indexed: 36 Publications since 1964 Reviewing Activity: 106 Reviews

#### Co-Authors

 28 single-authored 5 Knopp, Paul J. 1 Achilles, Eva 1 Foregger, Thomas H. 1 Hedrick, Mark Blondeau
all top 5

#### Serials

 16 Linear and Multilinear Algebra 5 Proceedings of the American Mathematical Society 4 Linear Algebra and its Applications 2 American Mathematical Monthly 2 Mathematics Magazine 2 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Journal of Algebra 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Annals of Mathematical Statistics

#### Fields

 24 Linear and multilinear algebra; matrix theory (15-XX) 1 Combinatorics (05-XX)

#### Citations contained in zbMATH Open

31 Publications have been cited 413 times in 296 Documents Cited by Year
A relationship between arbitrary positive matrices and doubly stochastic matrices. Zbl 0134.25302
Sinkhorn, R.
1964
Concerning nonnegative matrices and doubly stochastic matrices. Zbl 0152.01403
Sinkhorn, R.; Knopp, P.
1967
Diagonal equivalence to matrices with prescribed row and column sums. Zbl 0166.03702
Sinkhorn, R.
1967
Problems involving diagonal products in nonnegative matrices. Zbl 0175.02404
Sinkhorn, R.; Knopp, P.
1969
Minimum permanents of doubly stochastic matrices with at least one zero entry. Zbl 0495.15016
Knopp, Paul; Sinkhorn, Richard
1982
Linear adjugate preservers on the complex matrices. Zbl 0496.15003
Sinkhorn, Richard
1982
Diagonal equivalence to matrices with prescribed row and column sums. II. Zbl 0297.15009
Sinkhorn, Richard
1974
A relationship between arbitrary positive matrices and stochastic matrices. Zbl 0136.24803
Sinkhorn, R.
1966
Concerning a conjecture of Marshall Hall. Zbl 0172.03802
Sinkhorn, R.
1969
Permanents of special classes of double stochastic matrices. Zbl 0343.15003
Knopp, Paul J.; Sinkhorn, Richard
1976
Continuous dependence on $$A$$ in the $$D_1AD_2$$ theorems. Zbl 0242.15010
Sinkhorn, Richard
1972
Power symmetric stochastic matrices. Zbl 0479.15018
Sinkhorn, Richard
1981
A problem related to the van der Waerden permanent theorem. Zbl 0568.15004
Sinkhorn, Richard
1984
Doubly stochastic matrices with dominant p-minors. Zbl 0356.15006
Sinkhorn, Richard
1977
Matrices which commute with doubly stochastic matrices. Zbl 0356.15016
Sinkhorn, Richard
1976
Two results concerning doubly stochastic matrices. Zbl 0162.04205
Sinkhorn, R.
1968
A special class of irreducible matrices. The nearly reducible matrices. Zbl 0198.35106
Hedrick, M.; Sinkhorn, R.
1970
Concerning the question of monotonicity of the permanent on the doubly stochastic matrices. Zbl 0428.15004
Sinkhorn, Richard
1980
A note concerning simultaneous integral equations. Zbl 0162.43401
Knopp, P.; Sinkhorn, R.
1968
Doubly stochastic matrices whose squares leave the permanent invariant. Zbl 0284.15022
Sinkhorn, Richard
1973
Concerning the magnitude of the entries in a doubly stochastic matrix. Zbl 0464.15010
Sinkhorn, Richard
1981
On matrices minimizing the permanent on faces of the polyhedron of the doubly stochastic matrices. Zbl 0604.15010
Foregger, Thomas H.; Sinkhorn, Richard
1986
Linear transformations under which the doubly stochastic matrices are invariant. Zbl 0211.35301
Sinkhorn, R.
1971
Doubly stochastic matrices which have certain diagonals with constant sums. Zbl 0353.15029
Sinkhorn, Richard
1977
The range of the adjugate map. Zbl 0836.15001
Sinkhorn, Richard
1993
Generalized self adjointness in the complex doubly stochastic matrices. Zbl 0571.15010
Sinkhorn, Richard
1984
Concerning the Jordan normal form. Zbl 0172.03901
Sinkhorn, R.
1968
Doubly stochastic matrices whose squares decrease the permanent. Zbl 0335.15013
Sinkhorn, Richard
1976
Doubly stochastic matrices whose squares are idempotent. Zbl 0834.15013
Achilles, Eva; Sinkhorn, Richard
1995
A neighborhood in which the van der Waerden permanent conjecture is valid. Zbl 0466.15004
Sinkhorn, Richard
1981
Concerning hypernormal stochastic matrices. Zbl 0712.15016
Sinkhorn, Richard
1990
Doubly stochastic matrices whose squares are idempotent. Zbl 0834.15013
Achilles, Eva; Sinkhorn, Richard
1995
The range of the adjugate map. Zbl 0836.15001
Sinkhorn, Richard
1993
Concerning hypernormal stochastic matrices. Zbl 0712.15016
Sinkhorn, Richard
1990
On matrices minimizing the permanent on faces of the polyhedron of the doubly stochastic matrices. Zbl 0604.15010
Foregger, Thomas H.; Sinkhorn, Richard
1986
A problem related to the van der Waerden permanent theorem. Zbl 0568.15004
Sinkhorn, Richard
1984
Generalized self adjointness in the complex doubly stochastic matrices. Zbl 0571.15010
Sinkhorn, Richard
1984
Minimum permanents of doubly stochastic matrices with at least one zero entry. Zbl 0495.15016
Knopp, Paul; Sinkhorn, Richard
1982
Linear adjugate preservers on the complex matrices. Zbl 0496.15003
Sinkhorn, Richard
1982
Power symmetric stochastic matrices. Zbl 0479.15018
Sinkhorn, Richard
1981
Concerning the magnitude of the entries in a doubly stochastic matrix. Zbl 0464.15010
Sinkhorn, Richard
1981
A neighborhood in which the van der Waerden permanent conjecture is valid. Zbl 0466.15004
Sinkhorn, Richard
1981
Concerning the question of monotonicity of the permanent on the doubly stochastic matrices. Zbl 0428.15004
Sinkhorn, Richard
1980
Doubly stochastic matrices with dominant p-minors. Zbl 0356.15006
Sinkhorn, Richard
1977
Doubly stochastic matrices which have certain diagonals with constant sums. Zbl 0353.15029
Sinkhorn, Richard
1977
Permanents of special classes of double stochastic matrices. Zbl 0343.15003
Knopp, Paul J.; Sinkhorn, Richard
1976
Matrices which commute with doubly stochastic matrices. Zbl 0356.15016
Sinkhorn, Richard
1976
Doubly stochastic matrices whose squares decrease the permanent. Zbl 0335.15013
Sinkhorn, Richard
1976
Diagonal equivalence to matrices with prescribed row and column sums. II. Zbl 0297.15009
Sinkhorn, Richard
1974
Doubly stochastic matrices whose squares leave the permanent invariant. Zbl 0284.15022
Sinkhorn, Richard
1973
Continuous dependence on $$A$$ in the $$D_1AD_2$$ theorems. Zbl 0242.15010
Sinkhorn, Richard
1972
Linear transformations under which the doubly stochastic matrices are invariant. Zbl 0211.35301
Sinkhorn, R.
1971
A special class of irreducible matrices. The nearly reducible matrices. Zbl 0198.35106
Hedrick, M.; Sinkhorn, R.
1970
Problems involving diagonal products in nonnegative matrices. Zbl 0175.02404
Sinkhorn, R.; Knopp, P.
1969
Concerning a conjecture of Marshall Hall. Zbl 0172.03802
Sinkhorn, R.
1969
Two results concerning doubly stochastic matrices. Zbl 0162.04205
Sinkhorn, R.
1968
A note concerning simultaneous integral equations. Zbl 0162.43401
Knopp, P.; Sinkhorn, R.
1968
Concerning the Jordan normal form. Zbl 0172.03901
Sinkhorn, R.
1968
Concerning nonnegative matrices and doubly stochastic matrices. Zbl 0152.01403
Sinkhorn, R.; Knopp, P.
1967
Diagonal equivalence to matrices with prescribed row and column sums. Zbl 0166.03702
Sinkhorn, R.
1967
A relationship between arbitrary positive matrices and stochastic matrices. Zbl 0136.24803
Sinkhorn, R.
1966
A relationship between arbitrary positive matrices and doubly stochastic matrices. Zbl 0134.25302
Sinkhorn, R.
1964
all top 5

#### Cited by 423 Authors

 12 Hwang, Suk-Geun 11 Sinkhorn, Richard 10 Hartfiel, Darald J. 9 Brualdi, Richard Anthony 9 Schneider, Hans 8 Peyré, Gabriel 6 Chooi, Wai-Leong 5 Bapat, Ravindra Bhalchandra 5 Wigderson, Avi 4 Achilles, Eva 4 Boyd, Stephen Poythress 4 Cheon, Gi-Sang 4 Cuturi, Marco 4 Friedland, Shmuel 4 Hedrick, Mark Blondeau 4 Johnson, Charles Royal 4 Kalantari, Bahman 4 Nathanson, Melvyn Bernard 4 Rothblum, Uriel George 3 Barvinok, Alexander I. 3 Benamou, Jean-David 3 Carlier, Guillaume 3 Garg, Ankit 3 Gosse, Laurent 3 Gurvits, Leonid 3 Khachiyan, Leonid Genrikhovich 3 Li, Chi-Kwong 3 Lim, Ming-Huat 3 Maxson, Carlton J. 3 Menon, M. V. 3 Nechita, Ion 3 Pavon, Michele 3 Raghavan, Tirukkannamangai E. S. 3 Schmitzer, Bernhard 3 Solomon, Justin 3 Vialard, François-Xavier 3 Wanless, Ian M. 3 Yuille, Alan L. 2 Albertus, Mickael 2 Banica, Teodor 2 Beichl, Isabel 2 Cao, Lei 2 Cariello, Daniel 2 Chakrabarty, Deeparnab 2 Chang, Derek K. 2 Chen, Yongxin 2 Chen, Zhi 2 Chizat, Lénaïc 2 Coifman, Ronald Raphaël 2 Dantzig, George Bernard 2 Di Marino, Simone 2 Dvir, Zeev 2 Engel, Gernot Michael 2 Essid, Montacer 2 Foregger, Thomas H. 2 García-López, Jesús 2 Georgiou, Tryphon T. 2 Gibson, Peter M. 2 Hershkowitz, Daniel 2 Hutchinson, George K. 2 Hwang, Inseok 2 Jain, Surender Kumar 2 Kaporin, Igor E. 2 Karlsson, Johan M. 2 Khanna, Sanjeev 2 Knopp, Paul J. 2 Kwa, Kiam-Heong 2 Marijuán, Carlos 2 Nenna, Luca 2 Ng, Wei Shean 2 Papadakis, Nicolas 2 Parlett, Beresford Neill 2 Pierce, Stephen J. 2 Reich, Sebastian 2 Ringh, Axel 2 Rothaus, Oscar S. 2 Sachkov, Vladimir N. 2 Sang, Caili 2 Tarakanov, V. E. 2 Tsing, Nam-Kiu 2 Vauchelet, Nicolas 2 Wang, Feng 2 Zhang, Chiyu 2 Zhao, Jianxing 2 Życzkowski, Karol 1 Aaronson, Scott 1 Abbas, Hassan 1 Ajanki, Oskari Heikki 1 Al’pin, Yurii A. 1 Alvarado, Ysaías J. 1 Amari, Shun-ichi 1 Améndola, Carlos 1 Appel, Kenneth I. 1 Aristodemo, A. 1 Åström, Freddie 1 Bach, Francis R. 1 Bai, Zhengjian 1 Balinski, Michel Louis 1 Balogh, József 1 Banjac, Goran ...and 323 more Authors
all top 5

#### Cited in 109 Serials

 77 Linear Algebra and its Applications 31 Linear and Multilinear Algebra 16 Proceedings of the American Mathematical Society 7 Discrete Mathematics 6 Journal of Mathematical Analysis and Applications 5 Transactions of the American Mathematical Society 4 SIAM Journal on Scientific Computing 4 SIAM Journal on Imaging Sciences 3 Journal of Combinatorial Theory. Series A 3 Journal of Optimization Theory and Applications 3 Numerische Mathematik 3 SIAM Journal on Matrix Analysis and Applications 3 Pattern Recognition 3 SIAM Review 3 Mathematical Programming. Series A. Series B 3 Journal of Inequalities and Applications 3 Foundations of Computational Mathematics 3 Journal of Machine Learning Research (JMLR) 2 Journal of Computational Physics 2 Journal of Mathematical Physics 2 Journal of Combinatorial Theory. Series B 2 Journal of Soviet Mathematics 2 SIAM Journal on Computing 2 Advances in Applied Mathematics 2 SIAM Journal on Algebraic and Discrete Methods 2 Operations Research Letters 2 Neural Computation 2 Computational Statistics 2 European Journal of Operational Research 2 SIAM Journal on Mathematical Analysis 2 Journal of Mathematical Imaging and Vision 2 ELA. The Electronic Journal of Linear Algebra 2 European Journal of Control 2 Acta Numerica 2 Mathematical Programming Computation 2 Dependence Modeling 2 Special Matrices 2 SIAM Journal on Applied Algebra and Geometry 1 Inverse Problems 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Physica A 1 Reports on Mathematical Physics 1 Mathematics of Computation 1 Advances in Mathematics 1 The Annals of Statistics 1 Archiv der Mathematik 1 Automatica 1 Calcolo 1 Czechoslovak Mathematical Journal 1 Journal of Algebra 1 Journal of Computational and Applied Mathematics 1 Journal of Economic Theory 1 Journal of Econometrics 1 Journal of Graph Theory 1 Journal of Multivariate Analysis 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Theoretical Computer Science 1 European Journal of Combinatorics 1 Statistics & Probability Letters 1 American Journal of Mathematical and Management Sciences 1 Statistics 1 ACM Transactions on Graphics 1 Journal of Scientific Computing 1 Neural Networks 1 European Journal of Applied Mathematics 1 Annals of Operations Research 1 Machine Learning 1 Random Structures & Algorithms 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Geometric and Functional Analysis. GAFA 1 Communications in Statistics. Theory and Methods 1 International Journal of Computer Mathematics 1 Journal of Statistical Computation and Simulation 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Optimization 1 Applied and Computational Harmonic Analysis 1 Combinatorics, Probability and Computing 1 Journal of Mathematical Sciences (New York) 1 International Journal of Computer Vision 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Monte Carlo Methods and Applications 1 Sbornik: Mathematics 1 Discrete and Continuous Dynamical Systems 1 The Journal of Fourier Analysis and Applications 1 Journal of Mathematical Chemistry 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Open Systems & Information Dynamics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Journal of Interdisciplinary Mathematics 1 Integers 1 Computational Methods in Applied Mathematics 1 Multiscale Modeling & Simulation 1 Quantum Information Processing 1 Thai Journal of Mathematics 1 International Journal of Quantum Information 1 Bulletin of the American Mathematical Society ...and 9 more Serials
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#### Cited in 40 Fields

 164 Linear and multilinear algebra; matrix theory (15-XX) 53 Numerical analysis (65-XX) 45 Combinatorics (05-XX) 38 Operations research, mathematical programming (90-XX) 33 Computer science (68-XX) 27 Statistics (62-XX) 18 Probability theory and stochastic processes (60-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 15 Quantum theory (81-XX) 12 Information and communication theory, circuits (94-XX) 8 Partial differential equations (35-XX) 8 Convex and discrete geometry (52-XX) 8 Biology and other natural sciences (92-XX) 8 Systems theory; control (93-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Functional analysis (46-XX) 4 Fluid mechanics (76-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Number theory (11-XX) 3 Operator theory (47-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Differential geometry (53-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Geophysics (86-XX)