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Yuji Nakatsukasa
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The AAA algorithm for rational approximation
Y Nakatsukasa, O Sète, LN Trefethen
SIAM Journal on Scientific Computing 40 (3), A1494-A1522, 2018
2292018
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
1132013
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
912017
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
722010
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
582016
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
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
522018
Roundoff error analysis of the CholeskyQR2 algorithm
Y Yamamoto, Y Nakatsukasa, Y Yanagisawa, T Fukaya
Electron. Trans. Numer. Anal 44 (01), 306-326, 2015
412015
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
392014
Computing the common zeros of two bivariate functions via Bézout resultants
Y Nakatsukasa, V Noferini, A Townsend
Numerische Mathematik 129 (1), 181-209, 2015
362015
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
352014
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
33*2016
Mysteries around the graph Laplacian eigenvalue 4
Y Nakatsukasa, N Saito, E Woei
Linear Algebra and its Applications 438 (8), 3231-3246, 2013
332013
The minimization of matrix logarithms: On a fundamental property of the unitary polar factor
J Lankeit, P Neff, Y Nakatsukasa
Linear Algebra and its Applications 449, 28-42, 2014
312014
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
312012
Classification of chaotic time series with deep learning
N Boullé, V Dallas, Y Nakatsukasa, D Samaddar
Physica D: Nonlinear Phenomena 403, 132261, 2020
302020
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
292020
Vandermonde with arnoldi
PD Brubeck, Y Nakatsukasa, LN Trefethen
SIAM Review 63 (2), 405-415, 2021
282021
Rational neural networks
N Boullé, Y Nakatsukasa, A Townsend
Advances in Neural Information Processing Systems 33, 14243-14253, 2020
282020
Fast and stable randomized low-rank matrix approximation
Y Nakatsukasa
arXiv preprint arXiv:2009.11392, 2020
272020
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