Seuraa
Yuji Nakatsukasa
Yuji Nakatsukasa
University of Oxford
Vahvistettu sähköpostiosoite verkkotunnuksessa maths.ox.ac.uk
Nimike
Viittaukset
Viittaukset
Vuosi
The AAA algorithm for rational approximation
Y Nakatsukasa, O Sète, LN Trefethen
SIAM Journal on Scientific Computing 40 (3), A1494-A1522, 2018
3332018
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
1262013
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
882017
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
782010
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
632018
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
622016
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
61*2017
Rational neural networks
N Boullé, Y Nakatsukasa, A Townsend
Advances in neural information processing systems 33, 14243-14253, 2020
532020
Roundoff error analysis of the CholeskyQR2 algorithm
Y Yamamoto, Y Nakatsukasa, Y Yanagisawa, T Fukaya
Electron. Trans. Numer. Anal 44 (01), 306-326, 2015
502015
Classification of chaotic time series with deep learning
N Boullé, V Dallas, Y Nakatsukasa, D Samaddar
Physica D: Nonlinear Phenomena 403, 132261, 2020
472020
Fast and stable randomized low-rank matrix approximation
Y Nakatsukasa
arXiv preprint arXiv:2009.11392, 2020
462020
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
462014
Vandermonde with arnoldi
PD Brubeck, Y Nakatsukasa, LN Trefethen
SIAM Review 63 (2), 405-415, 2021
432021
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
402020
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
40*2016
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
402014
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
382020
Computing the common zeros of two bivariate functions via Bézout resultants
Y Nakatsukasa, V Noferini, A Townsend
Numerische Mathematik 129 (1), 181-209, 2015
372015
Backward stability of iterations for computing the polar decomposition
Y Nakatsukasa, NJ Higham
SIAM Journal on Matrix Analysis and Applications 33 (2), 460-479, 2012
352012
An algorithm for real and complex rational minimax approximation
Y Nakatsukasa, LN Trefethen
SIAM Journal on Scientific Computing 42 (5), A3157-A3179, 2020
342020
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Artikkelit 1–20