## Edelman, Alan Stuart

Compute Distance To:
 Author ID: edelman.alan-s Published as: Edelman, Alan; Edelman, A.; Edelman, Alan S. more...less Homepage: http://www-math.mit.edu/~edelman/ External Links: MGP · Wikidata
 Documents Indexed: 71 Publications since 1987 1 Contribution as Editor Co-Authors: 75 Co-Authors with 61 Joint Publications 2,060 Co-Co-Authors
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### Co-Authors

 8 single-authored 6 Koev, Plamen 5 Sutton, Brian D. 4 Dumitriu, Ioana 4 Kostlan, Eric 4 Smith, Steven Thomas 3 Arias, Tomás A. 3 Dubbs, Alexander J. 3 Micchelli, Charles A. 3 Rao, N. Raj 3 Strang, William Gilbert 2 Chan, Cy P. 2 Drensky, Vesselin 2 Elmroth, Erik 2 Kågström, Bo 2 Kan, Raymond 2 Lippert, Ross A. 2 Ma, Yanyuan 2 Mascarenhas, Walter F. 2 Nguyen, Huy N. 2 Shah, Viral B. 2 Wang, Yuyang 1 Absil, Pierre-Antoine 1 Albrecht, James T. 1 Baden, Scott B. 1 Bezanson, Jeff 1 Bischof, Christian H. 1 Brunet, Jean-Philippe 1 Bylaska, Eric J. 1 Cheli, Alessandro 1 Demmel, James Weldon 1 Dougherty, Randall L. 1 Duff, Iain S. 1 Dyn, Nira 1 Geist, George A. 1 Genoar, Tierney 1 Gorsich, David J. 1 Gowda, Shashi 1 Guggenheimer, Heinrich Walter 1 Guionnet, Alice 1 Gwóźzdź, Maja 1 Hassidim, Avinatan 1 Heath, Michael T. 1 Hendrickson, Bruce A. 1 Heroux, Michael A. 1 Hyman, James M. 1 Johnson, Charles Royal 1 Karpinski, Stefan 1 Kawai, Ryoichi 1 Kepner, Jeremy 1 Koelbel, Chuck 1 Kohn, Scott R. 1 La Croix, Michael A. 1 Ma, Yingbo 1 McCorquodale, Peter 1 Mesirov, Jill P. 1 Mingo, James A. 1 Movassagh, Ramis 1 Nadakuditi, Raj Rao 1 Onak, Krzysztof 1 Ong, Maria Elizabeth G. 1 Péché, Sandrine 1 Persson, Per-Olof 1 Rackauckas, Christopher 1 Schreiber, Robert S. 1 Shub, Michael 1 Shuman, Gene 1 Sincovec, Richard F. 1 Speicher, Roland 1 Stewart, Gilbert Wright 1 Toledo, Sivan 1 Venkataramana, Praveen S. 1 Weare, John H. 1 Wen, Tong 1 Wheeler, Mary Fanett 1 Yelick, Katherine A.
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### Serials

 7 SIAM Journal on Matrix Analysis and Applications 6 Linear Algebra and its Applications 4 Journal of Mathematical Physics 4 Mathematics of Computation 4 Foundations of Computational Mathematics 4 Random Matrices: Theory and Applications 2 Linear and Multilinear Algebra 2 IEEE Transactions on Signal Processing 2 SIAM Review 2 Bulletin of the American Mathematical Society. New Series 2 SIAM Journal on Scientific Computing 1 American Mathematical Monthly 1 Journal of Computational Physics 1 Journal of Statistical Physics 1 The Annals of Statistics 1 BIT 1 Journal of Multivariate Analysis 1 Numerische Mathematik 1 Analysis 1 Journal of Symbolic Computation 1 Journal of Complexity 1 Journal of the American Mathematical Society 1 The Annals of Applied Probability 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Algebraic Combinatorics 1 Numerical Linear Algebra with Applications 1 Markov Processes and Related Fields 1 Acta Numerica 1 The College Mathematics Journal 1 ACM Communications in Computer Algebra
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### Fields

 38 Linear and multilinear algebra; matrix theory (15-XX) 36 Numerical analysis (65-XX) 15 Probability theory and stochastic processes (60-XX) 9 Computer science (68-XX) 7 Combinatorics (05-XX) 7 Special functions (33-XX) 6 Statistics (62-XX) 4 Approximations and expansions (41-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Field theory and polynomials (12-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

59 Publications have been cited 2,124 times in 1,769 Documents Cited by Year
The geometry of algorithms with orthogonality constraints. Zbl 0928.65050
Edelman, Alan; Arias, Tomás A.; Smith, Steven T.
1998
Julia: a fresh approach to numerical computing. Zbl 1356.68030
Bezanson, Jeff; Edelman, Alan; Karpinski, Stefan; Shah, Viral B.
2017
Matrix models for beta ensembles. Zbl 1060.82020
Dumitriu, Ioana; Edelman, Alan
2002
Eigenvalues and condition numbers of random matrices. Zbl 0678.15019
Edelman, Alan
1988
How many zeros of a random polynomial are real? Zbl 0820.34038
Edelman, Alan; Kostlan, Eric
1995
Random matrix theory. Zbl 1162.15014
Edelman, Alan; Rao, N. Raj
2005
The probability that a random real Gaussian matrix has $$k$$ real eigenvalues, related distributions, and the circular law. Zbl 0886.15024
Edelman, Alan
1997
The efficient evaluation of the hypergeometric function of a matrix argument. Zbl 1117.33007
Koev, Plamen; Edelman, Alan
2006
Polynomial roots from companion matrix eigenvalues. Zbl 0833.65041
Edelman, Alan; Murakami, H.
1995
How many eigenvalues of a random matrix are real? Zbl 0790.15017
Edelman, Alan; Kostlan, Eric; Shub, Michael
1994
From random matrices to stochastic operators. Zbl 1131.15025
Edelman, Alan; Sutton, Brian D.
2007
A geometric approach to perturbation theory of matrices and matrix pencils. I: Versal deformations. Zbl 0873.15006
Edelman, Alan; Elmroth, Erik; Kågström, Bo
1997
Global spectrum fluctuations for the $$\beta$$-Hermite and $$\beta$$-Laguerre ensembles via matrix models. Zbl 1112.82021
Dumitriu, Ioana; Edelman, Alan
2006
A geometric approach to perturbation theory of matrices and matrix pencils. II: A stratification-enhanced staircase algorithm. Zbl 0940.65040
Edelman, Alan; Elmroth, Erik; Kågström, Bo
1999
MOPS: multivariate orthogonal polynomials (symbolically). Zbl 1122.33019
Dumitriu, Ioana; Edelman, Alan; Shuman, Gene
2007
Pascal matrices. Zbl 1089.15025
Edelman, Alan; Strang, Gilbert
2004
Nonnegativity-, monotonicity-, or convexity-preserving cubic and quintic Hermite interpolation. Zbl 0693.41004
Dougherty, Randall L.; Edelman, Alan; Hyman, James M.
1989
The dimension of matrices (matrix pencils) with given Jordan (Kronecker) canonical forms. Zbl 0842.15011
Demmel, James W.; Edelman, Alan
1995
The distribution and moments of the smallest eigenvalue of a random matrix of Wishart type. Zbl 0738.15010
Edelman, Alan
1991
Eigenvalues of Hermite and Laguerre ensembles: large beta asymptotics. Zbl 1079.15014
Dumitriu, Ioana; Edelman, Alan
2005
Statistical eigen-inference from large Wishart matrices. Zbl 1168.62056
Rao, N. Raj; Mingo, James A.; Speicher, Roland; Edelman, Alan
2008
Sample eigenvalue based detection of high-dimensional signals in white noise using relatively few samples. Zbl 1390.94567
2008
On the distribution of a scaled condition number. Zbl 0745.15012
Edelman, Alan
1992
Tails of condition number distributions. Zbl 1093.15010
Edelman, Alan; Sutton, Brian D.
2005
The polynomial method for random matrices. Zbl 1171.15024
Rao, N. Raj; Edelman, Alan
2008
The beta-Jacobi matrix model, the CS decomposition, and generalized singular value problems. Zbl 1464.82006
Edelman, Alan; Sutton, Brian D.
2008
Admissible slopes for monotone and convex interpolation. Zbl 0624.41001
Edelman, Alan; Micchelli, Charles A.
1987
On the largest principal angle between random subspaces. Zbl 1090.15017
Absil, P.-A.; Edelman, A.; Koev, P.
2006
The computation and sensitivity of double eigenvalues. Zbl 0932.65055
Lippert, Ross A.; Edelman, Alan
1998
The singular values of the gue (less is more). Zbl 1330.15042
Edelman, Alan; La Croix, Michael
2014
The road from Kac’s matrix to Kac’s random polynomials. Zbl 0817.15014
Edelman, Alan; Kostlan, Eric
1994
On the complete pivoting conjecture for a Hadamard matrix of order 12. Zbl 0836.65042
Edelman, Alan; Mascarenhas, Walter
1995
A simple estimate of the condition number of a linear system. Zbl 1291.15022
Guggenheimer, Heinrich W.; Edelman, Alan S.; Johnson, Charles R.
1995
On locally supported basis functions for the representation of geometrically continuous curves. Zbl 0633.41005
Dyn, Nira; Edelman, Alan; Micchelli, Charles A.
1987
Nongeneric eigenvalue perturbations of Jordan blocks. Zbl 0901.15006
Ma, Yanyuan; Edelman, Alan
1998
Beyond universality in random matrix theory. Zbl 1408.60007
Edelman, Alan; Guionnet, A.; Péché, S.
2016
The beta-Wishart ensemble. Zbl 1286.15044
Dubbs, Alexander; Edelman, Alan; Koev, Plamen; Venkataramana, Praveen
2013
The future fast Fourier transform? Zbl 0926.65145
Edelman, Alan; McCorquodale, Peter; Toledo, Sivan
1999
Eigenvalue distributions of beta-Wishart matrices. Zbl 1306.15033
Edelman, Alan; Koev, Plamen
2014
On conjugate gradient-like methods for eigen-like problems. Zbl 0856.65037
Edelman, Alan; Smith, Steven T.
1996
A counterexample to a Hadamard matrix pivot conjecture. Zbl 0907.65021
Edelman, Alan; Friedman, David
1998
Multiscale computation with interpolating wavelets. Zbl 0927.65130
Lippert, Ross A.; Arias, T. A.; Edelman, Alan
1998
The beta-MANOVA ensemble with general covariance. Zbl 1291.62114
Dubbs, Alexander; Edelman, Alan
2014
The random matrix technique of ghosts and shadows. Zbl 1221.15053
Edelman, A.
2010
An efficient partitioning oracle for bounded-treewidth graphs. Zbl 1343.68294
Edelman, Alan; Hassidim, Avinatan; Nguyen, Huy N.; Onak, Krzysztof
2011
Erratum to “How many zeros of a random polynomial are real?”. Zbl 0853.34054
Edelman, Alan; Kostlan, Eric
1996
Random matrix theory, numerical computation and applications. Zbl 1310.15072
Edelman, Alan; Sutton, Brian D.; Wang, Yuyang
2014
Sturm sequences and random eigenvalue distributions. Zbl 1173.65027
Albrecht, James T.; Chan, Cy P.; Edelman, Alan
2009
The Toeplitz-circulant eigenvalue problem $$Ax=\lambda Cx$$. Zbl 0635.65030
Strang, G.; Edelman, A.
1987
Scalable parallel numerical methods and software tools for material design. Zbl 0836.65132
Bylaska, Eric J.; Kohn, Scott R.; Baden, Scott B.; Edelman, Alan; Kawai, Ryoichi; Ong, M. Elizabeth G.; Weare, John H.
1995
Infinite random matrix theory, tridiagonal bordered Toeplitz matrices, and the moment problem. Zbl 1305.60012
Dubbs, Alexander; Edelman, Alan
2015
Staircase failures explained by orthogonal versal forms. Zbl 0965.65066
Edelman, Alan; Ma, Yanyuan
2000
The mathematics of the Pentium division bug. Zbl 1059.68503
Edelman, Alan
1997
Hypercube algorithms for direct $$N$$-body solvers for different granularities. Zbl 0782.70002
Brunet, Jean-Philippe; Mesirov, Jill P.; Edelman, Alan
1993
On computing Schur functions and series thereof. Zbl 1428.05309
Chan, Cy; Drensky, Vesselin; Edelman, Alan; Kan, Raymond; Koev, Plamen
2019
Random triangle theory with geometry and applications. Zbl 1321.51016
Edelman, Alan; Strang, Gilbert
2015
Curvature in conjugate gradient eigenvalue computation with application to materials and chemistry calculations. Zbl 0821.65015
Edelman, Alan; Arias, Tomás A.; Smith, Steven T.
1994
Polynomial roots from companion matrix eigenvalues. Zbl 0819.65086
Edelman, Alan; Murakami, H.
1994
On the determinant of a uniformly distributed complex matrix. Zbl 0843.68043
Edelman, Alan
1995
On computing Schur functions and series thereof. Zbl 1428.05309
Chan, Cy; Drensky, Vesselin; Edelman, Alan; Kan, Raymond; Koev, Plamen
2019
Julia: a fresh approach to numerical computing. Zbl 1356.68030
Bezanson, Jeff; Edelman, Alan; Karpinski, Stefan; Shah, Viral B.
2017
Beyond universality in random matrix theory. Zbl 1408.60007
Edelman, Alan; Guionnet, A.; Péché, S.
2016
Infinite random matrix theory, tridiagonal bordered Toeplitz matrices, and the moment problem. Zbl 1305.60012
Dubbs, Alexander; Edelman, Alan
2015
Random triangle theory with geometry and applications. Zbl 1321.51016
Edelman, Alan; Strang, Gilbert
2015
The singular values of the gue (less is more). Zbl 1330.15042
Edelman, Alan; La Croix, Michael
2014
Eigenvalue distributions of beta-Wishart matrices. Zbl 1306.15033
Edelman, Alan; Koev, Plamen
2014
The beta-MANOVA ensemble with general covariance. Zbl 1291.62114
Dubbs, Alexander; Edelman, Alan
2014
Random matrix theory, numerical computation and applications. Zbl 1310.15072
Edelman, Alan; Sutton, Brian D.; Wang, Yuyang
2014
The beta-Wishart ensemble. Zbl 1286.15044
Dubbs, Alexander; Edelman, Alan; Koev, Plamen; Venkataramana, Praveen
2013
An efficient partitioning oracle for bounded-treewidth graphs. Zbl 1343.68294
Edelman, Alan; Hassidim, Avinatan; Nguyen, Huy N.; Onak, Krzysztof
2011
The random matrix technique of ghosts and shadows. Zbl 1221.15053
Edelman, A.
2010
Sturm sequences and random eigenvalue distributions. Zbl 1173.65027
Albrecht, James T.; Chan, Cy P.; Edelman, Alan
2009
Statistical eigen-inference from large Wishart matrices. Zbl 1168.62056
Rao, N. Raj; Mingo, James A.; Speicher, Roland; Edelman, Alan
2008
Sample eigenvalue based detection of high-dimensional signals in white noise using relatively few samples. Zbl 1390.94567
2008
The polynomial method for random matrices. Zbl 1171.15024
Rao, N. Raj; Edelman, Alan
2008
The beta-Jacobi matrix model, the CS decomposition, and generalized singular value problems. Zbl 1464.82006
Edelman, Alan; Sutton, Brian D.
2008
From random matrices to stochastic operators. Zbl 1131.15025
Edelman, Alan; Sutton, Brian D.
2007
MOPS: multivariate orthogonal polynomials (symbolically). Zbl 1122.33019
Dumitriu, Ioana; Edelman, Alan; Shuman, Gene
2007
The efficient evaluation of the hypergeometric function of a matrix argument. Zbl 1117.33007
Koev, Plamen; Edelman, Alan
2006
Global spectrum fluctuations for the $$\beta$$-Hermite and $$\beta$$-Laguerre ensembles via matrix models. Zbl 1112.82021
Dumitriu, Ioana; Edelman, Alan
2006
On the largest principal angle between random subspaces. Zbl 1090.15017
Absil, P.-A.; Edelman, A.; Koev, P.
2006
Random matrix theory. Zbl 1162.15014
Edelman, Alan; Rao, N. Raj
2005
Eigenvalues of Hermite and Laguerre ensembles: large beta asymptotics. Zbl 1079.15014
Dumitriu, Ioana; Edelman, Alan
2005
Tails of condition number distributions. Zbl 1093.15010
Edelman, Alan; Sutton, Brian D.
2005
Pascal matrices. Zbl 1089.15025
Edelman, Alan; Strang, Gilbert
2004
Matrix models for beta ensembles. Zbl 1060.82020
Dumitriu, Ioana; Edelman, Alan
2002
Staircase failures explained by orthogonal versal forms. Zbl 0965.65066
Edelman, Alan; Ma, Yanyuan
2000
A geometric approach to perturbation theory of matrices and matrix pencils. II: A stratification-enhanced staircase algorithm. Zbl 0940.65040
Edelman, Alan; Elmroth, Erik; Kågström, Bo
1999
The future fast Fourier transform? Zbl 0926.65145
Edelman, Alan; McCorquodale, Peter; Toledo, Sivan
1999
The geometry of algorithms with orthogonality constraints. Zbl 0928.65050
Edelman, Alan; Arias, Tomás A.; Smith, Steven T.
1998
The computation and sensitivity of double eigenvalues. Zbl 0932.65055
Lippert, Ross A.; Edelman, Alan
1998
Nongeneric eigenvalue perturbations of Jordan blocks. Zbl 0901.15006
Ma, Yanyuan; Edelman, Alan
1998
A counterexample to a Hadamard matrix pivot conjecture. Zbl 0907.65021
Edelman, Alan; Friedman, David
1998
Multiscale computation with interpolating wavelets. Zbl 0927.65130
Lippert, Ross A.; Arias, T. A.; Edelman, Alan
1998
The probability that a random real Gaussian matrix has $$k$$ real eigenvalues, related distributions, and the circular law. Zbl 0886.15024
Edelman, Alan
1997
A geometric approach to perturbation theory of matrices and matrix pencils. I: Versal deformations. Zbl 0873.15006
Edelman, Alan; Elmroth, Erik; Kågström, Bo
1997
The mathematics of the Pentium division bug. Zbl 1059.68503
Edelman, Alan
1997
On conjugate gradient-like methods for eigen-like problems. Zbl 0856.65037
Edelman, Alan; Smith, Steven T.
1996
Erratum to “How many zeros of a random polynomial are real?”. Zbl 0853.34054
Edelman, Alan; Kostlan, Eric
1996
How many zeros of a random polynomial are real? Zbl 0820.34038
Edelman, Alan; Kostlan, Eric
1995
Polynomial roots from companion matrix eigenvalues. Zbl 0833.65041
Edelman, Alan; Murakami, H.
1995
The dimension of matrices (matrix pencils) with given Jordan (Kronecker) canonical forms. Zbl 0842.15011
Demmel, James W.; Edelman, Alan
1995
On the complete pivoting conjecture for a Hadamard matrix of order 12. Zbl 0836.65042
Edelman, Alan; Mascarenhas, Walter
1995
A simple estimate of the condition number of a linear system. Zbl 1291.15022
Guggenheimer, Heinrich W.; Edelman, Alan S.; Johnson, Charles R.
1995
Scalable parallel numerical methods and software tools for material design. Zbl 0836.65132
Bylaska, Eric J.; Kohn, Scott R.; Baden, Scott B.; Edelman, Alan; Kawai, Ryoichi; Ong, M. Elizabeth G.; Weare, John H.
1995
On the determinant of a uniformly distributed complex matrix. Zbl 0843.68043
Edelman, Alan
1995
How many eigenvalues of a random matrix are real? Zbl 0790.15017
Edelman, Alan; Kostlan, Eric; Shub, Michael
1994
The road from Kac’s matrix to Kac’s random polynomials. Zbl 0817.15014
Edelman, Alan; Kostlan, Eric
1994
Curvature in conjugate gradient eigenvalue computation with application to materials and chemistry calculations. Zbl 0821.65015
Edelman, Alan; Arias, Tomás A.; Smith, Steven T.
1994
Polynomial roots from companion matrix eigenvalues. Zbl 0819.65086
Edelman, Alan; Murakami, H.
1994
Hypercube algorithms for direct $$N$$-body solvers for different granularities. Zbl 0782.70002
Brunet, Jean-Philippe; Mesirov, Jill P.; Edelman, Alan
1993
On the distribution of a scaled condition number. Zbl 0745.15012
Edelman, Alan
1992
The distribution and moments of the smallest eigenvalue of a random matrix of Wishart type. Zbl 0738.15010
Edelman, Alan
1991
Nonnegativity-, monotonicity-, or convexity-preserving cubic and quintic Hermite interpolation. Zbl 0693.41004
Dougherty, Randall L.; Edelman, Alan; Hyman, James M.
1989
Eigenvalues and condition numbers of random matrices. Zbl 0678.15019
Edelman, Alan
1988
Admissible slopes for monotone and convex interpolation. Zbl 0624.41001
Edelman, Alan; Micchelli, Charles A.
1987
On locally supported basis functions for the representation of geometrically continuous curves. Zbl 0633.41005
Dyn, Nira; Edelman, Alan; Micchelli, Charles A.
1987
The Toeplitz-circulant eigenvalue problem $$Ax=\lambda Cx$$. Zbl 0635.65030
Strang, G.; Edelman, A.
1987
all top 5

### Cited by 2,664 Authors

 37 Forrester, Peter J. 29 Edelman, Alan Stuart 16 Díaz-García, José Antonio 15 Farahmand, Kambiz 14 Vu, Van H. 13 Caro-Lopera, Francisco José 13 Dmytryshyn, Andrii R. 12 Absil, Pierre-Antoine 12 Dopico, Froilán M. 11 Erdős, László 11 Pan, Victor Yakovlevich 11 Ranocha, Hendrik 10 Ferreira, Orizon Pereira 10 Lerario, Antonio 10 Mitrouli, Marilena 10 Yau, Horng-Tzer 9 de Terán, Fernando 9 Dumitriu, Ioana 9 Fyodorov, Yan V. 9 Rider, Brian C. 9 Virág, Bálint 8 Bertsimas, Dimitris John 8 Bourgade, Paul 8 Chafaï, Djalil 8 Cucker, Felipe 8 Dette, Holger 8 Gutiérrez-Jáimez, Ramón 8 Jiang, Yaolin 8 Koev, Plamen 8 Mezzadri, Francesco 8 Rudelson, Mark 8 Sergeichuk, Vladimir Vasil’evich 8 Tao, Terence 8 Trogdon, Thomas 8 Zhang, Lei-Hong 8 Zimmermann, Ralf 7 González-Farías, Graciela M. 7 Jiang, Tiefeng 7 Li, Chong 7 Nagel, Jan 7 Nguyen, Hoi H. 7 Olver, Sheehan Shakiban 7 O’Rourke, Sean D. 7 Sato, Hiroyuki 7 Tikhomirov, Konstantin E. 7 Trinh Khanh Duy 7 Van Dooren, Paul M. 7 Vershynin, Roman 7 Voit, Michael 6 Arashi, Mohammad 6 Armentano, Diego 6 de Laat, David 6 Fiori, Simone 6 Kågström, Bo 6 Liu, Dangzheng 6 Lundberg, Erik 6 Noferini, Vanni 6 Pan, Guangming 6 Robol, Leonardo 6 Rouault, Alain 6 Trendafilov, Nickolay T. 6 Vandebril, Raf 6 Wang, Jinhua 6 Yuan, Ya-xiang 6 Zeitouni, Ofer 6 Zhou, Aihui 5 Akemann, Gernot 5 Alam, Rafikul 5 Balakrishnan, Narayanaswamy 5 Bao, Zhigang 5 Basak, Anirban 5 Bekker, Andriëtte 5 Breiding, Paul 5 Dowson, Oscar 5 Duong, Manh Hong 5 Han, The Anh 5 Hashiguchi, Hiroki 5 Higham, Nicholas J. 5 Ipsen, Jesper R. 5 Lim, Lek-Heng 5 Litvak, Aleksandr Evgen’evich 5 Majumdar, Satya N. 5 Nguyen, Oanh 5 Peterson, Chris 5 Qiu, Jianxian 5 Ruthotto, Lars 5 Seberry, Jennifer R. 5 Silva Leite, Fátima 5 Sinclair, Christopher D. 5 Slater, Paul B. 5 Sugiyama, Masashi 5 Sutton, Brian D. 5 Tomczak-Jaegermann, Nicole 5 Viloche Bazán, Fermín S. 5 Wen, Zaiwen 5 Xu, Kangli 5 Ye, Ke 5 Yin, Jun 5 Zhou, Wang 5 Zhu, Xiaojing ...and 2,564 more Authors
all top 5

### Cited in 381 Serials

 113 Linear Algebra and its Applications 44 Journal of Statistical Physics 42 SIAM Journal on Matrix Analysis and Applications 42 Random Matrices: Theory and Applications 36 Journal of Mathematical Physics 35 Journal of Computational Physics 33 Journal of Computational and Applied Mathematics 29 Communications in Mathematical Physics 29 Journal of Multivariate Analysis 28 SIAM Journal on Scientific Computing 27 Probability Theory and Related Fields 26 Mathematics of Computation 22 The Annals of Statistics 22 Numerical Algorithms 20 SIAM Journal on Optimization 18 The Annals of Probability 18 Proceedings of the American Mathematical Society 18 Journal of Complexity 18 Journal of Scientific Computing 18 Foundations of Computational Mathematics 17 Numerische Mathematik 16 Computer Methods in Applied Mechanics and Engineering 16 Journal of Theoretical Probability 16 Computational Optimization and Applications 14 The Annals of Applied Probability 14 European Journal of Operational Research 12 Transactions of the American Mathematical Society 12 Statistics & Probability Letters 12 Machine Learning 12 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 12 Electronic Journal of Probability 12 Journal of High Energy Physics 11 Advances in Mathematics 11 Neural Computation 11 Mathematical Programming. Series A. Series B 10 Journal of Mathematical Analysis and Applications 10 Applied Mathematics and Computation 10 Journal of Optimization Theory and Applications 10 Computational Statistics and Data Analysis 10 Bernoulli 10 INFORMS Journal on Computing 9 Computers & Mathematics with Applications 9 Journal of Approximation Theory 9 Journal of Statistical Computation and Simulation 9 Journal of Mathematical Imaging and Vision 9 Numerical Linear Algebra with Applications 9 Statistics and Computing 8 SIAM Journal on Numerical Analysis 8 Constructive Approximation 8 Journal of Physics A: Mathematical and Theoretical 7 BIT 7 Journal of Statistical Planning and Inference 7 Physica D 7 SIAM Review 7 Bulletin of the American Mathematical Society. New Series 7 Advances in Computational Mathematics 7 The Annals of Applied Statistics 6 Israel Journal of Mathematics 6 Nuclear Physics. B 6 Automatica 6 Computer Aided Geometric Design 6 Applied Numerical Mathematics 6 Journal of Symbolic Computation 6 Statistical Science 6 Journal of Global Optimization 6 Communications in Statistics. Theory and Methods 6 Stochastic Processes and their Applications 6 International Journal of Computer Vision 6 Optimization Letters 6 Electronic Journal of Statistics 6 Special Matrices 6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Computer Physics Communications 5 Communications on Pure and Applied Mathematics 5 Linear and Multilinear Algebra 5 Physica A 5 Computing 5 Duke Mathematical Journal 5 Journal of Functional Analysis 5 Programming and Computer Software 5 Stochastic Analysis and Applications 5 Optimization 5 Geometric and Functional Analysis. GAFA 5 Experimental Mathematics 5 Applied and Computational Harmonic Analysis 5 Journal of Mathematical Sciences (New York) 5 Computational and Applied Mathematics 5 Chaos 5 Optimization and Engineering 5 Journal of Machine Learning Research (JMLR) 5 Multiscale Modeling & Simulation 5 Mathematical Programming Computation 5 SIAM/ASA Journal on Uncertainty Quantification 5 SIAM Journal on Applied Algebra and Geometry 4 Classical and Quantum Gravity 4 Discrete Applied Mathematics 4 International Journal of Control 4 Journal of Fluid Mechanics 4 Journal of the Franklin Institute 4 Psychometrika ...and 281 more Serials
all top 5

### Cited in 61 Fields

 566 Numerical analysis (65-XX) 558 Linear and multilinear algebra; matrix theory (15-XX) 516 Probability theory and stochastic processes (60-XX) 292 Statistics (62-XX) 226 Operations research, mathematical programming (90-XX) 127 Computer science (68-XX) 109 Statistical mechanics, structure of matter (82-XX) 84 Quantum theory (81-XX) 80 Special functions (33-XX) 80 Partial differential equations (35-XX) 70 Combinatorics (05-XX) 65 Differential geometry (53-XX) 64 Operator theory (47-XX) 57 Calculus of variations and optimal control; optimization (49-XX) 49 Functions of a complex variable (30-XX) 48 Algebraic geometry (14-XX) 48 Systems theory; control (93-XX) 47 Dynamical systems and ergodic theory (37-XX) 45 Approximations and expansions (41-XX) 42 Ordinary differential equations (34-XX) 41 Real functions (26-XX) 40 Number theory (11-XX) 36 Fluid mechanics (76-XX) 35 Global analysis, analysis on manifolds (58-XX) 33 Information and communication theory, circuits (94-XX) 31 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 30 Mechanics of deformable solids (74-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 28 Functional analysis (46-XX) 27 Biology and other natural sciences (92-XX) 23 Field theory and polynomials (12-XX) 21 Mechanics of particles and systems (70-XX) 17 Convex and discrete geometry (52-XX) 16 Geometry (51-XX) 14 Relativity and gravitational theory (83-XX) 13 Commutative algebra (13-XX) 13 Topological groups, Lie groups (22-XX) 11 Nonassociative rings and algebras (17-XX) 10 Group theory and generalizations (20-XX) 10 Several complex variables and analytic spaces (32-XX) 10 Manifolds and cell complexes (57-XX) 8 Optics, electromagnetic theory (78-XX) 6 Abstract harmonic analysis (43-XX) 5 Associative rings and algebras (16-XX) 5 Integral transforms, operational calculus (44-XX) 5 Algebraic topology (55-XX) 4 Difference and functional equations (39-XX) 4 Integral equations (45-XX) 4 Geophysics (86-XX) 3 General and overarching topics; collections (00-XX) 3 Potential theory (31-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Measure and integration (28-XX) 2 Sequences, series, summability (40-XX) 2 General topology (54-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Category theory; homological algebra (18-XX)

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