# zbMATH — the first resource for mathematics

## Tygert, Mark

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 Author ID: tygert.mark Published as: Tygert, M.; Tygert, Mark External Links: MGP · Wikidata
 Documents Indexed: 24 Publications since 2005
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#### Co-Authors

 5 single-authored 10 Rokhlin, Vladimir 5 Martinsson, Per-Gunnar 5 Szlam, Arthur D. 2 Chintala, Soumith 2 Kluger, Yuval 2 Li, Huamin 2 Liberty, Edo 2 Shkolnisky, Yoel 2 Ward, Rachel A. 2 Woolfe, Franco 1 Bruna, Joan 1 Coakley, Edward S. 1 Halko, Nathan 1 LeCun, Yann 1 Linderman, George C. 1 Perkins, Will 1 Perkins, William R. 1 Piantino, Serkan 1 Ranzato, Marc’Aurelio 1 Stanton, Kelly P. 1 Tian, Yuandong 1 Tulloch, Andrew 1 Zaremba, Wojciech 1 Žbontar, Jure
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#### Serials

 6 Applied and Computational Harmonic Analysis 3 Proceedings of the National Academy of Sciences of the United States of America 3 SIAM Journal on Scientific Computing 2 Journal of Computational Physics 2 SIAM Journal on Matrix Analysis and Applications 2 Communications in Applied Mathematics and Computational Science 1 Computers & Mathematics with Applications 1 ACM Transactions on Mathematical Software 1 Applied Mathematics and Computation 1 Neural Computation 1 Linear Algebra and its Applications 1 Advances in Computational Mathematics
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#### Fields

 21 Numerical analysis (65-XX) 8 Statistics (62-XX) 7 Computer science (68-XX) 4 Special functions (33-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH

20 Publications have been cited 422 times in 273 Documents Cited by Year
Randomized algorithms for the low-rank approximation of matrices. Zbl 1215.65080
Liberty, Edo; Woolfe, Franco; Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark
2007
A fast randomized algorithm for the approximation of matrices. Zbl 1155.65035
Woolfe, Franco; Liberty, Edo; Rokhlin, Vladimir; Tygert, Mark
2008
A randomized algorithm for the decomposition of matrices. Zbl 1210.65095
Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark
2011
A randomized algorithm for principal component analysis. Zbl 1198.65035
Rokhlin, Vladimir; Szlam, Arthur; Tygert, Mark
2010
Fast algorithms for spherical harmonic expansions. Zbl 1104.65134
Rokhlin, Vladimir; Tygert, Mark
2006
A fast algorithm for the inversion of general Toeplitz matrices. Zbl 1087.65025
Martinsson, P. G.; Rokhlin, V.; Tygert, M.
2005
A fast randomized algorithm for overdetermined linear least-squares regression. Zbl 05851018
Rokhlin, Vladimir; Tygert, Mark
2008
On interpolation and integration in finite-dimensional spaces of bounded functions. Zbl 1111.65010
Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark
2006
Approximation of bandlimited functions. Zbl 1110.65023
Shkolnisky, Yoel; Tygert, Mark; Rokhlin, Vladimir
2006
Fast algorithms for spherical harmonic expansions. III. Zbl 1201.65037
Tygert, Mark
2010
Fast algorithms for spherical harmonic expansions. II. Zbl 1147.65111
Tygert, Mark
2008
Algorithm 971: An implementation of a randomized algorithm for principal component analysis. Zbl 1391.65085
Li, Huamin; Linderman, George C.; Szlam, Arthur; Stanton, Kelly P.; Kluger, Yuval; Tygert, Mark
2017
An algorithm for the principal component analysis of large data sets. Zbl 1232.65058
Halko, Nathan; Martinsson, Per-Gunnar; Shkolnisky, Yoel; Tygert, Mark
2011
Recurrence relations and fast algorithms. Zbl 1182.65195
Tygert, Mark
2010
A fast randomized algorithm for orthogonal projection. Zbl 1368.65061
Coakley, E. S.; Rokhlin, V.; Tygert, M.
2011
Computing the confidence levels for a root-mean-square test of goodness-of-fit. Zbl 1219.65015
Perkins, William; Tygert, Mark; Ward, Rachel
2011
Accurate low-rank approximations via a few iterations of alternating least squares. Zbl 1367.65067
Szlam, Arthur; Tulloch, Andrew; Tygert, Mark
2017
Scale-invariant learning and convolutional networks. Zbl 1392.68340
Chintala, Soumith; Ranzato, Marc’Aurelio; Szlam, Arthur; Tian, Yuandong; Tygert, Mark; Zaremba, Wojciech
2017
Some deficiencies of $$\chi^2$$ and classical exact tests of significance. Zbl 06298179
Perkins, Will; Tygert, Mark; Ward, Rachel
2014
Statistical tests for whether a given set of independent, identically distributed draws comes from a specified probability density. Zbl 1256.62027
Tygert, Mark
2010
Algorithm 971: An implementation of a randomized algorithm for principal component analysis. Zbl 1391.65085
Li, Huamin; Linderman, George C.; Szlam, Arthur; Stanton, Kelly P.; Kluger, Yuval; Tygert, Mark
2017
Accurate low-rank approximations via a few iterations of alternating least squares. Zbl 1367.65067
Szlam, Arthur; Tulloch, Andrew; Tygert, Mark
2017
Scale-invariant learning and convolutional networks. Zbl 1392.68340
Chintala, Soumith; Ranzato, Marc’Aurelio; Szlam, Arthur; Tian, Yuandong; Tygert, Mark; Zaremba, Wojciech
2017
Some deficiencies of $$\chi^2$$ and classical exact tests of significance. Zbl 06298179
Perkins, Will; Tygert, Mark; Ward, Rachel
2014
A randomized algorithm for the decomposition of matrices. Zbl 1210.65095
Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark
2011
An algorithm for the principal component analysis of large data sets. Zbl 1232.65058
Halko, Nathan; Martinsson, Per-Gunnar; Shkolnisky, Yoel; Tygert, Mark
2011
A fast randomized algorithm for orthogonal projection. Zbl 1368.65061
Coakley, E. S.; Rokhlin, V.; Tygert, M.
2011
Computing the confidence levels for a root-mean-square test of goodness-of-fit. Zbl 1219.65015
Perkins, William; Tygert, Mark; Ward, Rachel
2011
A randomized algorithm for principal component analysis. Zbl 1198.65035
Rokhlin, Vladimir; Szlam, Arthur; Tygert, Mark
2010
Fast algorithms for spherical harmonic expansions. III. Zbl 1201.65037
Tygert, Mark
2010
Recurrence relations and fast algorithms. Zbl 1182.65195
Tygert, Mark
2010
Statistical tests for whether a given set of independent, identically distributed draws comes from a specified probability density. Zbl 1256.62027
Tygert, Mark
2010
A fast randomized algorithm for the approximation of matrices. Zbl 1155.65035
Woolfe, Franco; Liberty, Edo; Rokhlin, Vladimir; Tygert, Mark
2008
A fast randomized algorithm for overdetermined linear least-squares regression. Zbl 05851018
Rokhlin, Vladimir; Tygert, Mark
2008
Fast algorithms for spherical harmonic expansions. II. Zbl 1147.65111
Tygert, Mark
2008
Randomized algorithms for the low-rank approximation of matrices. Zbl 1215.65080
Liberty, Edo; Woolfe, Franco; Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark
2007
Fast algorithms for spherical harmonic expansions. Zbl 1104.65134
Rokhlin, Vladimir; Tygert, Mark
2006
On interpolation and integration in finite-dimensional spaces of bounded functions. Zbl 1111.65010
Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark
2006
Approximation of bandlimited functions. Zbl 1110.65023
Shkolnisky, Yoel; Tygert, Mark; Rokhlin, Vladimir
2006
A fast algorithm for the inversion of general Toeplitz matrices. Zbl 1087.65025
Martinsson, P. G.; Rokhlin, V.; Tygert, M.
2005
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#### Cited by 476 Authors

 13 Tygert, Mark 13 Ying, Lexing 12 Rokhlin, Vladimir 10 Martinsson, Per-Gunnar 7 Darve, Eric 7 Gu, Ming 7 Xia, Jianlin 6 Yang, Haizhao 5 Biros, George 5 Ho, Kenneth L. 5 Li, Yingzhou 5 Liberty, Edo 5 Sabelfeld, Karl Karlovich 5 Wang, Lilian 4 Ambikasaran, Sivaram 4 Bremer, James C. 4 Demanet, Laurent 4 Doostan, Alireza 4 Li, Shengguo 4 Lu, Jianfeng 4 Ma, Changfeng 4 Marzouk, Youssef M. 4 Pan, Victor Yakovlevich 4 Tropp, Joel A. 4 Ward, Rachel A. 4 Wei, Yimin 3 Averbuch, Amir Z. 3 Beylkin, Gregory 3 Cui, Tiangang 3 Efendiev, Yalchin R. 3 Fairbanks, Hillary R. 3 Greengard, Leslie F. 3 Hagstrom, Thomas M. 3 Huang, Na 3 Lin, Lin 3 Mahoney, Michael W. 3 March, William B. 3 Osipov, Andreĭ V. 3 Rangan, Aaditya V. 3 Saibaba, Arvind Krishna 3 Singer, Amit 3 Woolfe, Franco 3 Zhang, Jing 2 Ailon, Nir 2 Aizenbud, Yariv 2 Balakrishnan, Venkataramanan 2 Cauley, Stephen 2 Cevher, Volkan 2 Chaillat, Stéphanie 2 Che, Maolin 2 Chen, Ke 2 Cheng, Lizhi 2 Chung, Tsz Shun Eric 2 Cioaca, Alexandru 2 Corona, Eduardo 2 Croisille, Jean-Pierre 2 Damle, Anil 2 de Hoop, Maarten V. 2 Duersch, Jed A. 2 Feng, Yuehua 2 Gillman, Adrianna 2 Gosse, Laurent 2 Hou, Thomas Yizhao 2 Iaccarino, Gianluca 2 Ivanov, Kamen G. 2 Jiang, Shidong 2 Jiang, Ying 2 Karniadakis, George Em 2 Kitanidis, Peter K. 2 Kluger, Yuval 2 Kong, Wai Yip 2 Kutz, J. Nathan 2 Leung, Wingtat 2 Li, Qin 2 Liao, Xiangke 2 Maggioni, Mauro 2 Minden, Victor 2 Montanelli, Hadrien 2 Morais, João Pedro 2 Petrushev, Pencho P. 2 Potts, Daniel 2 Sandu, Adrian 2 Schmitz, Phillip G. 2 Serkh, Kirill 2 Shabat, Gil 2 Shen, Jie 2 Shkolnisky, Yoel 2 Shmueli, Yaniv 2 Slevinsky, Richard Mikaël 2 Szlam, Arthur D. 2 Udell, Madeleine 2 Voronin, Sergeĭ Mikhaĭlovich 2 Wang, Ruoxi 2 Wang, Yingwei 2 Willcox, Karen E. 2 Woodruff, David P. 2 Wright, Stephen J. 2 Xiao, Bo 2 Xiao, Jianwei 2 Xie, Yajun ...and 376 more Authors
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#### Cited in 79 Serials

 43 Journal of Computational Physics 28 SIAM Journal on Scientific Computing 26 Applied and Computational Harmonic Analysis 19 SIAM Journal on Matrix Analysis and Applications 10 Computers & Mathematics with Applications 10 Journal of Computational and Applied Mathematics 7 Multiscale Modeling & Simulation 6 Numerische Mathematik 6 Journal of Scientific Computing 6 Linear Algebra and its Applications 6 Advances in Computational Mathematics 5 Mathematics of Computation 4 Inverse Problems 4 SIAM Review 4 Engineering Analysis with Boundary Elements 3 Mathematical Methods in the Applied Sciences 3 Numerical Algorithms 3 Journal of Statistical Computation and Simulation 3 Proceedings of the National Academy of Sciences of the United States of America 3 Numerical Linear Algebra with Applications 2 Communications on Pure and Applied Mathematics 2 Applied Mathematics and Computation 2 SIAM Journal on Computing 2 SIAM Journal on Numerical Analysis 2 Discrete & Computational Geometry 2 Monte Carlo Methods and Applications 2 The Journal of Fourier Analysis and Applications 2 Computing and Visualization in Science 2 Computational Geosciences 2 Journal of Machine Learning Research (JMLR) 2 SIAM Journal on Imaging Sciences 2 GEM - International Journal on Geomathematics 1 Computers and Fluids 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Linear and Multilinear Algebra 1 BIT 1 Information Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of the American Statistical Association 1 Journal of Applied Probability 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Mathematics and Computers in Simulation 1 Mathematics of Operations Research 1 Numerical Functional Analysis and Optimization 1 Quarterly of Applied Mathematics 1 Results in Mathematics 1 Statistics & Probability Letters 1 Applied Numerical Mathematics 1 Journal of Complexity 1 Algorithmica 1 Computational Mechanics 1 Asia-Pacific Journal of Operational Research 1 Applied Mathematics Letters 1 Multidimensional Systems and Signal Processing 1 Machine Learning 1 Neural Computation 1 Computational Statistics and Data Analysis 1 SIAM Journal on Optimization 1 Cybernetics and Systems Analysis 1 International Journal of Modern Physics D 1 International Journal of Computer Vision 1 ETNA. Electronic Transactions on Numerical Analysis 1 Bernoulli 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Foundations of Computational Mathematics 1 Journal of Applied Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Thai Journal of Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Inverse Problems and Imaging 1 Electronic Journal of Statistics 1 The Annals of Applied Statistics 1 Advances in Adaptive Data Analysis 1 Science China. Mathematics 1 Frontiers of Computer Science 1 Bayesian Analysis
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#### Cited in 38 Fields

 217 Numerical analysis (65-XX) 47 Linear and multilinear algebra; matrix theory (15-XX) 43 Computer science (68-XX) 42 Partial differential equations (35-XX) 40 Statistics (62-XX) 27 Special functions (33-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 14 Information and communication theory, circuits (94-XX) 13 Approximations and expansions (41-XX) 12 Probability theory and stochastic processes (60-XX) 11 Fluid mechanics (76-XX) 11 Geophysics (86-XX) 7 Optics, electromagnetic theory (78-XX) 6 Operator theory (47-XX) 5 Integral transforms, operational calculus (44-XX) 5 Integral equations (45-XX) 5 Mechanics of deformable solids (74-XX) 5 Operations research, mathematical programming (90-XX) 4 Ordinary differential equations (34-XX) 4 Biology and other natural sciences (92-XX) 3 Functions of a complex variable (30-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Quantum theory (81-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 Combinatorics (05-XX) 2 Field theory and polynomials (12-XX) 2 Potential theory (31-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)

#### Wikidata Timeline

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