Edit Profile (opens in new tab) Carson, Erin Claire Co-Author Distance Author ID: carson.erin Published as: Carson, Erin; Carson, Erin C.; Carson, Erin Claire; Carson, E. more...less Homepage: http://math.nyu.edu/~erinc/ External Links: MGP Documents Indexed: 29 Publications since 2013, including 11 Additional arXiv Preprints Co-Authors: 45 Co-Authors with 27 Joint Publications 780 Co-Co-Authors all top 5 Co-Authors 2 single-authored 5 Oktay, Eda 4 Demmel, James Weldon 4 Higham, Nicholas J. 3 Knight, Nicholas 3 Rozložník, Miroslav 3 Strakoš, Zdeněk 3 Thomas, Stephen J. 2 Daužickaitė, Ieva 2 Khan, Noaman 2 Lund, Kathryn 2 Świrydowicz, Kasia 2 Yamazaki, Ichitaro 1 Abdelfattah, Ahmad 1 Anzt, Hartwig 1 Ballard, Grey M. 1 Boman, Erik G. 1 Carr, Arielle 1 Chen, Tyler 1 Cojean, Terry 1 Demmil, James 1 Dongarra, Jack J. 1 Gates, Mark 1 Gergelits, Tomáš 1 Grützmacher, Thomas 1 Hoemmen, Mark 1 Li, Sherry Xin 1 Liesen, Jörg 1 Lindquist, Neil 1 Loe, Jennifer A. 1 Luszczek, Piotr 1 Nayak, Pratik 1 Pranesh, Sri 1 Pranesh, Srikara 1 Rajamanickam, Siva 1 Ribizel, Tobias 1 Rozložník, Miro 1 Schwartz, Oded 1 Smith, Barry F. 1 Soodhalter, Kirk M. 1 Tichý, Petr 1 Tomov, Stanimire Z. 1 Tsai, Yaohung M. 1 Tůma, Miroslav 1 Vacek, Petr 1 Yang, Urike Meier all top 5 Serials 7 SIAM Journal on Scientific Computing 4 SIAM Journal on Matrix Analysis and Applications 2 Numerical Linear Algebra with Applications 1 Applications of Mathematics 1 Linear Algebra and its Applications 1 ETNA. Electronic Transactions on Numerical Analysis 1 Acta Numerica 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences Fields 24 Numerical analysis (65-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 18 Publications have been cited 143 times in 80 Documents Cited by ▼ Year ▼ Accelerating the solution of linear systems by iterative refinement in three precisions. Zbl 1453.65067 Carson, Erin; Higham, Nicholas J. 34 2018 A new analysis of iterative refinement and its application to accurate solution of ill-conditioned sparse linear systems. Zbl 1379.65019 Carson, Erin; Higham, Nicholas J. 26 2017 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 A residual replacement strategy for improving the maximum attainable accuracy of \(s\)-step Krylov subspace methods. Zbl 1302.65075 Carson, Erin; Demmel, James 11 2014 Avoiding communication in nonsymmetric Lanczos-based Krylov subspace methods. Zbl 1281.65057 Carson, Erin; Knight, Nicholas; Demmel, James 10 2013 Three-precision GMRES-based iterative refinement for least squares problems. Zbl 1461.65032 Carson, Erin; Higham, Nicholas J.; Pranesh, Srikara 9 2020 Accuracy of the \(s\)-step Lanczos method for the symmetric eigenproblem in finite precision. Zbl 1319.65024 Carson, Erin; Demmel, James W. 7 2015 The numerical stability analysis of pipelined conjugate gradient methods: historical context and methodology. Zbl 1416.65080 Carson, Erin C.; Rozložník, Miroslav; Strakoš, Zdeněk; Tichý, Petr; Tuma, Miroslav 6 2018 Block Gram-Schmidt algorithms and their stability properties. Zbl 1490.65074 Carson, Erin; Lund, Kathryn; Rozložník, Miroslav; Thomas, Stephen 5 2022 The stability of block variants of classical Gram-Schmidt. Zbl 1476.65060 Carson, Erin; Lund, Kathryn; Rozložník, Miroslav 4 2021 An efficient deflation technique for the communication-avoiding conjugate gradient. Zbl 1312.65040 Carson, Erin; Knight, Nicholas; Demmil, James 2 2014 Mixed precision \(s\)-step Lanczos and conjugate gradient algorithms. Zbl 07511606 Carson, Erin; Gergelits, Tomáš; Yamazaki, Ichitaro 2 2022 An adaptive \(s\)-step conjugate gradient algorithm with dynamic basis updating. Zbl 07217102 Carson, Erin Claire 2 2020 On the cost of iterative computations. Zbl 1462.65034 Carson, Erin; Strakoš, Zdeněk 2 2020 Multistage mixed precision iterative refinement. Zbl 07584142 Oktay, Eda; Carson, Erin 2 2022 The adaptive \(s\)-step conjugate gradient method. Zbl 1398.65044 Carson, Erin C. 2 2018 Predict-and-recompute conjugate gradient variants. Zbl 1452.65057 Chen, Tyler; Carson, Erin 1 2020 Mixed precision iterative refinement with sparse approximate inverse preconditioning. Zbl 1516.65023 Carson, Erin; Khan, Noaman 1 2023 Mixed precision iterative refinement with sparse approximate inverse preconditioning. Zbl 1516.65023 Carson, Erin; Khan, Noaman 1 2023 Block Gram-Schmidt algorithms and their stability properties. Zbl 1490.65074 Carson, Erin; Lund, Kathryn; Rozložník, Miroslav; Thomas, Stephen 5 2022 Mixed precision \(s\)-step Lanczos and conjugate gradient algorithms. Zbl 07511606 Carson, Erin; Gergelits, Tomáš; Yamazaki, Ichitaro 2 2022 Multistage mixed precision iterative refinement. Zbl 07584142 Oktay, Eda; Carson, Erin 2 2022 The stability of block variants of classical Gram-Schmidt. Zbl 1476.65060 Carson, Erin; Lund, Kathryn; Rozložník, Miroslav 4 2021 Three-precision GMRES-based iterative refinement for least squares problems. Zbl 1461.65032 Carson, Erin; Higham, Nicholas J.; Pranesh, Srikara 9 2020 An adaptive \(s\)-step conjugate gradient algorithm with dynamic basis updating. Zbl 07217102 Carson, Erin Claire 2 2020 On the cost of iterative computations. Zbl 1462.65034 Carson, Erin; Strakoš, Zdeněk 2 2020 Predict-and-recompute conjugate gradient variants. Zbl 1452.65057 Chen, Tyler; Carson, Erin 1 2020 Accelerating the solution of linear systems by iterative refinement in three precisions. Zbl 1453.65067 Carson, Erin; Higham, Nicholas J. 34 2018 The numerical stability analysis of pipelined conjugate gradient methods: historical context and methodology. Zbl 1416.65080 Carson, Erin C.; Rozložník, Miroslav; Strakoš, Zdeněk; Tichý, Petr; Tuma, Miroslav 6 2018 The adaptive \(s\)-step conjugate gradient method. Zbl 1398.65044 Carson, Erin C. 2 2018 A new analysis of iterative refinement and its application to accurate solution of ill-conditioned sparse linear systems. Zbl 1379.65019 Carson, Erin; Higham, Nicholas J. 26 2017 Accuracy of the \(s\)-step Lanczos method for the symmetric eigenproblem in finite precision. Zbl 1319.65024 Carson, Erin; Demmel, James W. 7 2015 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 A residual replacement strategy for improving the maximum attainable accuracy of \(s\)-step Krylov subspace methods. Zbl 1302.65075 Carson, Erin; Demmel, James 11 2014 An efficient deflation technique for the communication-avoiding conjugate gradient. Zbl 1312.65040 Carson, Erin; Knight, Nicholas; Demmil, James 2 2014 Avoiding communication in nonsymmetric Lanczos-based Krylov subspace methods. Zbl 1281.65057 Carson, Erin; Knight, Nicholas; Demmel, James 10 2013 all cited Publications top 5 cited Publications all top 5 Cited by 138 Authors 14 Higham, Nicholas J. 12 Carson, Erin Claire 6 Mary, Theo A. 5 Grigori, Laura 4 Benzaken, Joseph 4 McCormick, Steve Fahrney 4 Pranesh, Srikara 4 Tamstorf, Rasmus 3 Ballard, Grey M. 3 Demmel, James Weldon 3 Lund, Kathryn 3 Pan, Victor Yakovlevich 3 Tůma, Miroslav 2 Blanchard, Pierre 2 Chen, Tyler 2 Daas, Hussam Al 2 Dongarra, Jack J. 2 Fasi, Massimiliano 2 Giraud, Luc 2 Güttel, Stefan 2 Kressner, Daniel 2 Moufawad, Sophie M. 2 Rozložník, Miroslav 2 Scott, Jennifer A. 2 Shao, Meiyue 2 Strakoš, Zdeněk 2 Tichý, Petr 2 Yetkin, Emrullah Fatih 1 Agullo, Emmanuel 1 Akimova, Elena N. 1 Aliaga, José Ignacio 1 Amestoy, Patrick R. 1 Amodio, Pierluigi 1 Atanassov, Emanouil I. 1 Bai, Zhaojun 1 Balabanov, Oleg 1 Barlow, Jesse L. 1 Barreda, Maria 1 Basermann, Achim 1 Bayraktar, Harun H. 1 Benner, Peter 1 Berghaus, David 1 Boman, Erik G. 1 Brugnano, Luigi 1 Bücker, H. Martin 1 Burrage, Kevin 1 Buttari, Alfredo 1 Chen, Qiao 1 Cools, Siegfried 1 Croci, Matteo 1 De Souza, Giacomo Rosilho 1 Devarakonda, Aditya 1 Duersch, Jed A. 1 Feuerriegel, Stefan 1 Fountoulakis, Kimon 1 Gareev, Roman A. 1 Graillat, Stef 1 Gratton, Serge 1 Greenbaum, Anne 1 Gurov, Todor V. 1 Haidar, Azzam 1 Hashemi, Behnam 1 Heath, William Paul 1 Higgins, Andrew J. 1 Higham, Desmond J. 1 Hoemmen, Mark 1 Iakymchuk, Roman 1 Iavernaro, Felice 1 Jézéquel, Fabienne 1 Jiao, Xiangmin 1 Jing, Yanfei 1 Karaivanova, Anet 1 Keyes, David Elliot 1 Khan, Noaman 1 Knight, Nicholas 1 Krasnopolsky, Boris I. 1 Kumar, Suraj 1 L’Excellent, Jean-Yves 1 Li, Haibo 1 Li, Rencang 1 Lin, Wenwei 1 Liu, Changying 1 Liu, Hexuan 1 Liu, Kai 1 Lopez, Florent 1 Lorin, Emmanuel 1 Ltaief, Hatem 1 Ma, Yuxin 1 Mahoney, Michael W. 1 Mazzia, Francesca 1 Meurant, Gérard A. 1 Molina, Roméo 1 Monien, Hartmut 1 Montoison, Alexis 1 Mukunoki, Daichi 1 Ogita, Takeshi 1 Orban, Dominique 1 Ozaki, Katsuhisa 1 Paige, Christopher C. 1 Pearson, John W. ...and 38 more Authors all top 5 Cited in 28 Serials 27 SIAM Journal on Scientific Computing 14 SIAM Journal on Matrix Analysis and Applications 5 Numerical Algorithms 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Computers & Mathematics with Applications 2 Journal of Computational Physics 2 ACM Transactions on Mathematical Software 2 Journal of Computational and Applied Mathematics 2 Linear Algebra and its Applications 2 Acta Numerica 2 GAMM-Mitteilungen 1 Mathematical Methods in the Applied Sciences 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 Automatica 1 BIT 1 Computing 1 Mathematics and Computers in Simulation 1 Journal of Scientific Computing 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Sbornik: Mathematics 1 Soft Computing 1 International Journal of Applied Mathematics and Computer Science 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 12 Fields 78 Numerical analysis (65-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 7 Computer science (68-XX) 3 Partial differential equations (35-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year