Edit Profile (opens in new tab) Ballard, Grey M. Co-Author Distance Author ID: ballard.grey-m Published as: Ballard, Grey; Ballard, Grey M.; Ballard, G. more...less External Links: MGP Documents Indexed: 30 Publications since 2006, including 7 Additional arXiv Preprints Co-Authors: 54 Co-Authors with 29 Joint Publications 1,386 Co-Co-Authors all top 5 Co-Authors 1 single-authored 11 Demmel, James Weldon 9 Schwartz, Oded 5 Baxley, John V. 5 Holtz, Olga 3 Daas, Hussam Al 3 Lipshitz, Benjamin 2 Druinsky, Alex 2 Dumitriu, Ioana 2 Grigori, Laura 2 Hayashi, Koby 2 Kolda, Tamara Gibson 2 Minster, Rachel 2 Park, Haesun 2 Toledo, Sivan 1 Aksoy, Sinan G. 1 Azad, Ariful 1 Battaglino, Casey 1 Becker, Dulcenéia 1 Benner, Peter 1 Benson, Austin R. 1 Buluç, Aydın 1 Carson, Erin Claire 1 Cazeaux, Paul 1 Dongarra, Jack J. 1 Eswar, Srinivas 1 Hallman, Eric 1 Hoefler, Torsten 1 Hoemmen, Mark 1 Hu, Jonathan Joseph 1 Ikenmeyer, Christian 1 Kannan, Ramakrishnan 1 Klinvex, Alicia 1 Knight, Nicholas 1 Kumar, Suraj 1 Landsberg, Joseph Montague 1 Li, Zitong 1 Libbus, Nisrine 1 Liu, Xiaotian 1 Matheson, Michael A. 1 Międlar, Agnieszka 1 Pasha, Mirjeta 1 Peled, Inon 1 Plemmons, Robert James 1 Prasad, Sudhakar 1 Reid, Tim W. 1 Rouse, Kathryn 1 Rusciano, Alexander 1 Ryder, Nick R. 1 Saibaba, Arvind Krishna 1 Siefert, Christopher M. 1 Solomonik, Edgar 1 Viviano, Irina 1 Williams, Samuel 1 Yamazaki, Ichitaro all top 5 Serials 5 SIAM Journal on Matrix Analysis and Applications 5 SIAM Journal on Scientific Computing 2 ACM Transactions on Mathematical Software 1 Journal of Pure and Applied Algebra 1 Dynamic Systems and Applications 1 SIAM Review 1 Numerical Linear Algebra with Applications 1 Communications in Applied Analysis 1 Journal of the ACM 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Communications on Pure and Applied Analysis 1 Acta Numerica 1 Involve all top 5 Fields 19 Numerical analysis (65-XX) 10 Computer science (68-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 4 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Integral equations (45-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 18 Publications have been cited 158 times in 128 Documents Cited by ▼ Year ▼ A practical randomized CP tensor decomposition. Zbl 1444.65016 Battaglino, Casey; Ballard, Grey; Kolda, Tamara G. 36 2018 Minimizing communication in numerical linear algebra. Zbl 1246.68128 Ballard, Grey; Demmel, James; Holtz, Olga; Schwartz, Oded 30 2011 Communication lower bounds and optimal algorithms for numerical linear algebra. Zbl 1396.65082 Ballard, G.; Carson, E.; Demmel, J.; Hoemmen, M.; Knight, N.; Schwartz, O. 17 2014 Graph expansion analysis for communication costs of fast rectangular matrix multiplication. Zbl 1385.68057 Ballard, Grey; Demmel, James; Holtz, Olga; Lipshitz, Benjamin; Schwartz, Oded 13 2012 Exploiting multiple levels of parallelism in sparse matrix-matrix multiplication. Zbl 1350.05160 Azad, Ariful; Ballard, Grey; Buluç, Aydin; Demmel, James; Grigori, Laura; Schwartz, Oded; Toledo, Sivan; Williams, Samuel 12 2016 Graph expansion and communication costs of fast matrix multiplication. Zbl 1281.68241 Ballard, Grey; Demmel, James; Holtz, Olga; Schwartz, Oded 10 2012 Parallel algorithms for tensor train arithmetic. Zbl 1484.65088 Al Daas, Hussam; Ballard, Grey; Benner, Peter 7 2022 Communication-optimal parallel and sequential Cholesky decomposition. Zbl 1238.65018 Ballard, Grey; Demmel, James; Holtz, Olga; Schwartz, Oded 5 2010 Reducing communication costs for sparse matrix multiplication within algebraic multigrid. Zbl 1339.65058 Ballard, Grey; Siefert, Christopher; Hu, Jonathan 5 2016 TuckerMPI: a parallel C++/MPI software package for large-scale data compression via the Tucker tensor decomposition. Zbl 1484.65351 Ballard, Grey; Klinvex, Alicia; Kolda, Tamara G. 4 2020 The geometry of rank decompositions of matrix multiplication. II: \(3 \times 3\) matrices. Zbl 1444.15012 Ballard, Grey; Ikenmeyer, Christian; Landsberg, J. M.; Ryder, Nick 4 2019 Improving the numerical stability of fast matrix multiplication. Zbl 1348.65080 Ballard, Grey; Benson, Austin R.; Druinsky, Alex; Lipshitz, Benjamin; Schwartz, Oded 4 2016 Randomized algorithms for rounding in the tensor-train format. Zbl 07673280 Al Daas, Hussam; Ballard, Grey; Cazeaux, Paul; Hallman, Eric; Międlar, Agnieszka; Pasha, Mirjeta; Reid, Tim W.; Saibaba, Arvind K. 4 2023 The Friedrichs extension of certain singular differential operators. II. Zbl 1198.47040 Ballard, Grey M.; Baxley, John V. 2 2009 Communication-avoiding symmetric-indefinite factorization. Zbl 1317.65074 Ballard, Grey; Becker, Dulceneia; Demmel, James; Dongarra, Jack; Druinsky, Alex; Peled, Inon; Schwartz, Oded; Toledo, Sivan; Yamazaki, Ichitaro 2 2014 Qualitative behavior and computation of multiple solutions of nonlinear boundary value problems. Zbl 1151.34014 Ballard, Grey; Baxley, John; Libbus, Nisrine 1 2006 Qualitative behavior and computation of multiple solutions of singular nonlinear boundary value problems. Zbl 1151.34309 Ballard, Grey; Baxley, John 1 2008 PLANC. Parallel low-rank approximation with nonnegativity constraints. Zbl 07467951 Eswar, Srinivas; Hayashi, Koby; Ballard, Grey; Kannan, Ramakrishnan; Matheson, Michael A.; Park, Haesun 1 2021 Randomized algorithms for rounding in the tensor-train format. Zbl 07673280 Al Daas, Hussam; Ballard, Grey; Cazeaux, Paul; Hallman, Eric; Międlar, Agnieszka; Pasha, Mirjeta; Reid, Tim W.; Saibaba, Arvind K. 4 2023 Parallel algorithms for tensor train arithmetic. Zbl 1484.65088 Al Daas, Hussam; Ballard, Grey; Benner, Peter 7 2022 PLANC. Parallel low-rank approximation with nonnegativity constraints. Zbl 07467951 Eswar, Srinivas; Hayashi, Koby; Ballard, Grey; Kannan, Ramakrishnan; Matheson, Michael A.; Park, Haesun 1 2021 TuckerMPI: a parallel C++/MPI software package for large-scale data compression via the Tucker tensor decomposition. Zbl 1484.65351 Ballard, Grey; Klinvex, Alicia; Kolda, Tamara G. 4 2020 The geometry of rank decompositions of matrix multiplication. II: \(3 \times 3\) matrices. Zbl 1444.15012 Ballard, Grey; Ikenmeyer, Christian; Landsberg, J. M.; Ryder, Nick 4 2019 A practical randomized CP tensor decomposition. Zbl 1444.65016 Battaglino, Casey; Ballard, Grey; Kolda, Tamara G. 36 2018 Exploiting multiple levels of parallelism in sparse matrix-matrix multiplication. Zbl 1350.05160 Azad, Ariful; Ballard, Grey; Buluç, Aydin; Demmel, James; Grigori, Laura; Schwartz, Oded; Toledo, Sivan; Williams, Samuel 12 2016 Reducing communication costs for sparse matrix multiplication within algebraic multigrid. Zbl 1339.65058 Ballard, Grey; Siefert, Christopher; Hu, Jonathan 5 2016 Improving the numerical stability of fast matrix multiplication. Zbl 1348.65080 Ballard, Grey; Benson, Austin R.; Druinsky, Alex; Lipshitz, Benjamin; Schwartz, Oded 4 2016 Communication lower bounds and optimal algorithms for numerical linear algebra. Zbl 1396.65082 Ballard, G.; Carson, E.; Demmel, J.; Hoemmen, M.; Knight, N.; Schwartz, O. 17 2014 Communication-avoiding symmetric-indefinite factorization. Zbl 1317.65074 Ballard, Grey; Becker, Dulceneia; Demmel, James; Dongarra, Jack; Druinsky, Alex; Peled, Inon; Schwartz, Oded; Toledo, Sivan; Yamazaki, Ichitaro 2 2014 Graph expansion analysis for communication costs of fast rectangular matrix multiplication. Zbl 1385.68057 Ballard, Grey; Demmel, James; Holtz, Olga; Lipshitz, Benjamin; Schwartz, Oded 13 2012 Graph expansion and communication costs of fast matrix multiplication. Zbl 1281.68241 Ballard, Grey; Demmel, James; Holtz, Olga; Schwartz, Oded 10 2012 Minimizing communication in numerical linear algebra. Zbl 1246.68128 Ballard, Grey; Demmel, James; Holtz, Olga; Schwartz, Oded 30 2011 Communication-optimal parallel and sequential Cholesky decomposition. Zbl 1238.65018 Ballard, Grey; Demmel, James; Holtz, Olga; Schwartz, Oded 5 2010 The Friedrichs extension of certain singular differential operators. II. Zbl 1198.47040 Ballard, Grey M.; Baxley, John V. 2 2009 Qualitative behavior and computation of multiple solutions of singular nonlinear boundary value problems. Zbl 1151.34309 Ballard, Grey; Baxley, John 1 2008 Qualitative behavior and computation of multiple solutions of nonlinear boundary value problems. Zbl 1151.34014 Ballard, Grey; Baxley, John; Libbus, Nisrine 1 2006 all cited Publications top 5 cited Publications all top 5 Cited by 297 Authors 6 Venturi, Daniele 5 Ballard, Grey M. 5 Carson, Erin Claire 5 Demmel, James Weldon 5 Grigori, Laura 4 Dongarra, Jack J. 3 Censor-Hillel, Keren 3 Che, Maolin 3 Daas, Hussam Al 3 Duersch, Jed A. 3 Kressner, Daniel 3 Lund, Kathryn 3 Pan, Victor Yakovlevich 3 Schwartz, Oded 3 Solomonik, Edgar 3 Tomov, Stanimire Z. 3 Wei, Yimin 3 Yan, Hong 2 Bamberger, Stefan 2 Becker, Stephen R. 2 Benner, Peter 2 Boelens, Arnout M. P. 2 Chen, Ke 2 Cui, Chunfeng 2 De Lathauwer, Lieven 2 Dektor, Alec 2 Demanet, Laurent 2 Han, Deren 2 Hoefler, Torsten 2 Huang, Ting-Zhu 2 Kolda, Tamara Gibson 2 Krahmer, Felix 2 Leitersdorf, Dean 2 Malik, Osman Asif 2 Nakatsukasa, Yuji 2 Needell, Deanna 2 Rauch Henzinger, Monika 2 Rodgers, Abram 2 Saibaba, Arvind Krishna 2 Shao, Meiyue 2 Singh, Navjot 2 Tartakovsky, Daniel M. 2 Turner, Elia 2 van de Geijn, Robert Alexander 2 Wang, Qingsong 2 Ward, Rachel A. 2 Williams, Richard Ryan 2 Zepeda-Núñez, Leonardo 2 Zhao, Xile 1 Abdelfattah, Ahmad 1 Absil, Pierre-Antoine 1 Aditya, Konduri 1 Ahmadi-Asl, Salman 1 Ahn, Dawon 1 Akimova, Elena N. 1 Alhubail, Maitham 1 Alon, Noga 1 Álvarez Dios, José Antonio 1 Anzt, Hartwig 1 Atanassov, Emanouil I. 1 Awan, Muaaz 1 Aykanat, Cevdet 1 Azad, Ariful 1 Baboulin, Marc 1 Basermann, Achim 1 Baxley, John V. 1 Beliakov, Gleb 1 Benson, Austin R. 1 Berger, Guillaume O. 1 Bernaschi, Massimo 1 Bisson, Mauro 1 Brock, Benjamin 1 Buluç, Aydın 1 Burichenko, Vladimir P. 1 Cabaleiro, José Carlos 1 Cai, Hanqin 1 Casal Urcera, Gerardo 1 Cayrols, Sebastien 1 Cazeaux, Paul 1 Chatterjee, Krishnendu 1 Chechik, Shiri 1 Chen, Tyler 1 Cheng, Lizhi 1 Chi, Xuebin 1 Chowdhury, Rezaul Alam 1 Christandl, Matthias 1 Cichocki, Andrzej 1 Cohen, Sarel 1 Cyr, Eric C. 1 Czapliński, Adam 1 Dawson, William 1 D’Azevedo, Eduardo F. 1 Devarakonda, Aditya 1 Donzis, Diego A. 1 Druinsky, Alex 1 Du, Lei 1 Duncan, Stephen R. 1 Dvořák, Wolfgang 1 Egan, Rob 1 Ekanayake, Saliya ...and 197 more Authors all top 5 Cited in 48 Serials 22 SIAM Journal on Scientific Computing 16 SIAM Journal on Matrix Analysis and Applications 8 Journal of Computational Physics 7 Journal of Computational and Applied Mathematics 6 Journal of Scientific Computing 3 Computers & Mathematics with Applications 3 Computer Physics Communications 3 Linear Algebra and its Applications 3 SIAM Review 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 SIAM Journal on Mathematics of Data Science 2 Applied Mathematics and Computation 2 Computing 2 SIAM Journal on Computing 2 Parallel Computing 2 Acta Numerica 2 GAMM-Mitteilungen 1 Artificial Intelligence 1 Mathematical Methods in the Applied Sciences 1 Physics Reports 1 ACM Transactions on Mathematical Software 1 BIT 1 Information Sciences 1 Journal of Optimization Theory and Applications 1 Theoretical Computer Science 1 Advances in Applied Mathematics 1 Statistical Science 1 Applied Mathematics Letters 1 Machine Learning 1 International Journal of Foundations of Computer Science 1 Numerical Algorithms 1 Distributed Computing 1 Applied and Computational Harmonic Analysis 1 Advances in Computational Mathematics 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Electronic Journal of Probability 1 Sbornik: Mathematics 1 Journal of Mathematical Chemistry 1 Chaos 1 Trudy Instituta Matematiki 1 Journal of Machine Learning Research (JMLR) 1 Journal of Applied Mathematics and Computing 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 The Annals of Applied Statistics 1 Mathematical Geosciences 1 Research in the Mathematical Sciences 1 SIAM Journal on Applied Algebra and Geometry 1 Sampling Theory, Signal Processing, and Data Analysis all top 5 Cited in 29 Fields 97 Numerical analysis (65-XX) 47 Linear and multilinear algebra; matrix theory (15-XX) 38 Computer science (68-XX) 7 Partial differential equations (35-XX) 6 Operations research, mathematical programming (90-XX) 5 Combinatorics (05-XX) 5 Probability theory and stochastic processes (60-XX) 4 Statistics (62-XX) 3 Operator theory (47-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Algebraic geometry (14-XX) 2 Ordinary differential equations (34-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Fluid mechanics (76-XX) 2 Quantum theory (81-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year