# Items where Author is "Nakatsukasa, Yuji"

**19**.

## Article

Nakatsukasa, Yuji and Higham, Nicholas J.
(2013)
*Stable and Efficient Spectral Divide and Conquer Algorithms for the Symmetric Eigenvalue Decomposition and the SVD.*
SIAM J. Sci. Comput., 35 (3).
A1325-A1349.
ISSN 1095-7197

Nakatsukasa, Yuji and Higham, Nicholas J.
(2012)
*Backward stability of iterations for computing the polar decomposition.*
SIAM Journal on Matrix Analysis and Applications, 33 (2).
pp. 460-479.
ISSN 0895-4798

Nakatsukasa, Yuji and Higham, Nicholas J.
(2011)
*Backward stability of iterations for computing the polar decomposition.*
SIAM Journal On Matrix Analysis and Applications.
ISSN 1749-9097
(In Press)

Nakatsukasa, Yuji
(2011)
*Gerschgorin's theorem for generalized eigenvalue problems in the Euclidean metric.*
Mathematics of Computation, 80 (276).
pp. 2127-2142.
ISSN 1088-6842(e)

## MIMS Preprint

Nakatsukasa, Yuji and Taslaman, Leo and Tisseur, Francoise and Zaballa, Ion
(2017)
*Reduction of matrix polynomials to simpler forms.*
[MIMS Preprint]

Nakatsukasa, Yuji and Freund, Roland W.
(2015)
*Computing Fundamental matrix decompositions accurately via the matrix sign function in two iterations: The power of Zolotarev's functions.*
[MIMS Preprint]

Nakatsukasa, Yuji and Noferini, Vanni
(2014)
*On the stability of computing polynomial roots
via confederate linearizations.*
[MIMS Preprint]

De Teran, Fernando and Lippert, Ross and Nakatsukasa, Yuji and Noferini, Vanni
(2013)
*Flanders' theorem for many matrices under commutativity assumptions.*
[MIMS Preprint]

De Teran, Fernando and Nakatsukasa, Yuji and Noferini, Vanni
(2013)
*Flandersâ�� theorem for many matrices under commutativity assumptions.*
[MIMS Preprint]

Nakatsukasa, Yuji and Noferini, Vanni and Townsend, Alex
(2012)
*Vector spaces of linearizations for matrix polynomials: a bivariate polynomial approach.*
[MIMS Preprint]

Townsend, Alex and Noferini, Vanni and Nakatsukasa, Yuji
(2012)
*Vector spaces of linearizations for matrix polynomials: a bivariate polynomial approach.*
[MIMS Preprint]

Nakatsukasa, Yuji and Higham, Nicholas J.
(2012)
*Stable and Efficient Spectral Divide and Conquer Algorithms for the Symmetric Eigenvalue Decomposition and the SVD.*
[MIMS Preprint]

Li, Ren-Cang and Nakatsukasa, Yuji and Truhar, Ninoslav and Wang, Wei-guo
(2012)
*Perturbation of multiple eigenvalues of Hermitian matrices.*
[MIMS Preprint]

Nakatsukasa, Yuji
(2011)
*Eigenvalue perturbation bounds for Hermitian block tridiagonal matrices.*
[MIMS Preprint]

Nakatsukasa, Yuji and Saito, Naoki and Woei, Ernest
(2011)
*Mysteries around the graph Laplacian eigenvalue 4.*
[MIMS Preprint]

Nakatsukasa, Yuji and Aishima, Kensuke and Yamazaki, Ichitaro
(2011)
*dqds with aggressive early deflation.*
[MIMS Preprint]

Nakatsukasa, Yuji
(2011)
*The tan theta theorem with relaxed conditions.*
[MIMS Preprint]

Nakatsukasa, Yuji and Higham, Nicholas J.
(2011)
*Backward stability of iterations for computing the polar decomposition.*
[MIMS Preprint]

Nakatsukasa, Yuji
(2011)
*On the condition numbers of a multiple eigenvalue
of a generalized eigenvalue problem.*
[MIMS Preprint]