Yuji Nakatsukasa

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LN TrefethenProfessor of Applied Mathematics in Residence, Harvard UniversityVerified email at seas.harvard.edu
Vanni NoferiniAssociate Professor in Mathematics - Aalto UniversityVerified email at aalto.fi
Alex TownsendCornell UniversityVerified email at cornell.edu
Takeshi FukayaHokkaido UniversityVerified email at iic.hokudai.ac.jp
Yuka YanagisawaWaseda universityVerified email at aoni.waseda.jp
Satoru IwataUniversity of TokyoVerified email at mist.i.u-tokyo.ac.jp
Olivier SèteVerified email at math.tu-berlin.de
Nicholas J. HighamRoyal Society Research Prof, Richardson Prof of Applied Mathematics, University of ManchesterVerified email at manchester.ac.uk
Nicolas BoulléAssistant Professor, Imperial College LondonVerified email at imperial.ac.uk
Patrizio NeffProfessor for Nonlinear Analysis and Modelling, University of Duisburg-EssenVerified email at uni-due.de
Roland FreundProfessor of Mathematics, University of California, DavisVerified email at math.ucdavis.edu
Maike MeierPhD Candidate, University of OxfordVerified email at maths.ox.ac.uk
Andreas FischleResearch Assistant, TU DresdenVerified email at tu-dresden.de
Behnam HashemiSchool of Computing and Mathematical Sciences, University of LeicesterVerified email at leicester.ac.uk
Taejun ParkUniversity of OxfordVerified email at maths.ox.ac.uk
Ren-Cang LiUniversity of Texas at ArlingtonVerified email at uta.edu
Ninoslav TruharProfessor of Mathematics,Department of Mathematics, Josip Juraj Strossmayer University of OsijekVerified email at mathos.hr
Tasuku SomaThe Institute of Statistical MathematicsVerified email at ism.ac.jp
André UschmajewUniversity of AugsburgVerified email at uni-a.de
Ethan N. EpperlyPhD Candidate in Applied and Computational Math, CaltechVerified email at caltech.edu

Yuji Nakatsukasa

University of Oxford

Verified email at maths.ox.ac.uk

Numerical Linear Algebra Numerical Analysis Approximation Theory


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
The AAA algorithm for rational approximation Y Nakatsukasa, O Sète, LN Trefethen SIAM Journal on Scientific Computing 40 (3), A1494-A1522, 2018	439	2018
Stable and efficient spectral divide and conquer algorithms for the symmetric eigenvalue decomposition and the SVD Y Nakatsukasa, NJ Higham SIAM Journal on Scientific Computing 35 (3), A1325-A1349, 2013	134	2013
Solving the trust-region subproblem by a generalized eigenvalue problem S Adachi, S Iwata, Y Nakatsukasa, A Takeda SIAM Journal on Optimization 27 (1), 269-291, 2017	97	2017
Optimizing Halley's iteration for computing the matrix polar decomposition Y Nakatsukasa, Z Bai, F Gygi SIAM Journal on Matrix Analysis and Applications 31 (5), 2700-2720, 2010	86	2010
Rational minimax approximation via adaptive barycentric representations SI Filip, Y Nakatsukasa, LN Trefethen, B Beckermann SIAM Journal on Scientific Computing 40 (4), A2427-A2455, 2018	83	2018
Rational neural networks N Boullé, Y Nakatsukasa, A Townsend Advances in neural information processing systems 33, 14243-14253, 2020	82	2020
Computing fundamental matrix decompositions accurately via the matrix sign function in two iterations: The power of Zolotarev's functions Y Nakatsukasa, RW Freund siam REVIEW 58 (3), 461-493, 2016	71	2016
Classification of chaotic time series with deep learning N Boullé, V Dallas, Y Nakatsukasa, D Samaddar Physica D: Nonlinear Phenomena 403, 132261, 2020	68	2020
Vandermonde with arnoldi PD Brubeck, Y Nakatsukasa, LN Trefethen Siam Review 63 (2), 405-415, 2021	64	2021
Roundoff error analysis of the CholeskyQR2 algorithm Y Yamamoto, Y Nakatsukasa, Y Yanagisawa, T Fukaya Electron. Trans. Numer. Anal 44 (01), 306-326, 2015	64	2015
Fast and stable randomized low-rank matrix approximation Y Nakatsukasa arXiv preprint arXiv:2009.11392, 2020	61	2020
A theory of quantum subspace diagonalization EN Epperly, L Lin, Y Nakatsukasa SIAM Journal on Matrix Analysis and Applications 43 (3), 1263-1290, 2022	58	2022
Shifted Cholesky QR for computing the QR factorization of ill-conditioned matrices T Fukaya, R Kannan, Y Nakatsukasa, Y Yamamoto, Y Yanagisawa SIAM Journal on Scientific Computing 42 (1), A477-A503, 2020	56	2020
CholeskyQR2: a simple and communication-avoiding algorithm for computing a tall-skinny QR factorization on a large-scale parallel system T Fukaya, Y Nakatsukasa, Y Yanagisawa, Y Yamamoto 2014 5th workshop on latest advances in scalable algorithms for large-scale …, 2014	55	2014
Vector spaces of linearizations for matrix polynomials: a bivariate polynomial approach Y Nakatsukasa, V Noferini, A Townsend SIAM Journal on Matrix Analysis and Applications 38 (1), 1-29, 2017	54*	2017
Fast graph sampling set selection using gershgorin disc alignment Y Bai, F Wang, G Cheung, Y Nakatsukasa, W Gao IEEE Transactions on signal processing 68, 2419-2434, 2020	49	2020
An algorithm for real and complex rational minimax approximation Y Nakatsukasa, LN Trefethen SIAM Journal on Scientific Computing 42 (5), A3157-A3179, 2020	49	2020
A logarithmic minimization property of the unitary polar factor in the spectral and Frobenius norms P Neff, Y Nakatsukasa, A Fischle SIAM Journal on Matrix Analysis and Applications 35 (3), 1132-1154, 2014	47	2014
Exponential node clustering at singularities for rational approximation, quadrature, and PDEs LN Trefethen, Y Nakatsukasa, JAC Weideman Numerische Mathematik 147, 227-254, 2021	46	2021
Solving generalized CDT problems via two-parameter eigenvalues S Sakaue, Y Nakatsukasa, A Takeda, S Iwata SIAM Journal on Optimization 26 (3), 1669-1694, 2016	44*	2016

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