Yuji Nakatsukasa
Yuji Nakatsukasa
Potvrđena adresa e-pošte na maths.ox.ac.uk
Naslov
Citirano
Citirano
Godina
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
832013
The AAA algorithm for rational approximation
Y Nakatsukasa, O Sète, LN Trefethen
SIAM Journal on Scientific Computing 40 (3), A1494-A1522, 2018
592018
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
582010
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
512017
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
41*2017
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
372016
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
372014
Computing the common zeros of two bivariate functions via Bézout resultants
Y Nakatsukasa, V Noferini, A Townsend
Numerische Mathematik 129 (1), 181-209, 2015
302015
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
302014
Triangularizing matrix polynomials
L Taslaman, F Tisseur, I Zaballa
Linear Algebra and its Applications 439 (7), 1679-1699, 2013
272013
Mysteries around the graph Laplacian eigenvalue 4
Y Nakatsukasa, N Saito, E Woei
Linear Algebra and its Applications 438 (8), 3231-3246, 2013
272013
Roundoff error analysis of the CholeskyQR2 algorithm
Y Yamamoto, Y Nakatsukasa, Y Yanagisawa, T Fukaya
Electron. Trans. Numer. Anal 44, 306-326, 2015
222015
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
212012
Absolute and relative Weyl theorems for generalized eigenvalue problems
Y Nakatsukasa
Linear Algebra and its Applications 432 (1), 242-248, 2010
212010
Finding a low-rank basis in a matrix subspace
Y Nakatsukasa, T Soma, A Uschmajew
Mathematical Programming 162 (1-2), 325-361, 2017
202017
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
202014
Perturbation of partitioned Hermitian definite generalized eigenvalue problems
RC Li, Y Nakatsukasa, N Truhar, S Xu
SIAM journal on matrix analysis and applications 32 (2), 642-663, 2011
202011
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
162018
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
16*2016
Eigenvalue perturbation bounds for Hermitian block tridiagonal matrices
Y Nakatsukasa
Applied numerical mathematics 62 (1), 67-78, 2012
152012
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Članci 1–20