Follow
Yuji Nakatsukasa
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
3662018
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
1242013
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
922017
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
822010
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
692018
Rational neural networks
N Boullé, Y Nakatsukasa, A Townsend
Advances in neural information processing systems 33, 14243-14253, 2020
652020
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
652016
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
59*2017
Roundoff error analysis of the CholeskyQR2 algorithm
Y Yamamoto, Y Nakatsukasa, Y Yanagisawa, T Fukaya
Electron. Trans. Numer. Anal 44 (01), 306-326, 2015
532015
Classification of chaotic time series with deep learning
N Boullé, V Dallas, Y Nakatsukasa, D Samaddar
Physica D: Nonlinear Phenomena 403, 132261, 2020
522020
Vandermonde with arnoldi
PD Brubeck, Y Nakatsukasa, LN Trefethen
Siam Review 63 (2), 405-415, 2021
482021
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
472014
Fast and stable randomized low-rank matrix approximation
Y Nakatsukasa
arXiv preprint arXiv:2009.11392, 2020
462020
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
442020
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
412014
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 theory of quantum subspace diagonalization
EN Epperly, L Lin, Y Nakatsukasa
SIAM Journal on Matrix Analysis and Applications 43 (3), 1263-1290, 2022
392022
An algorithm for real and complex rational minimax approximation
Y Nakatsukasa, LN Trefethen
SIAM Journal on Scientific Computing 42 (5), A3157-A3179, 2020
392020
Computing the common zeros of two bivariate functions via Bézout resultants
Y Nakatsukasa, V Noferini, A Townsend
Numerische Mathematik 129 (1), 181-209, 2015
392015
The system can't perform the operation now. Try again later.
Articles 1–20