Items where Author is "Nakatsukasa, Yuji"

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) Flanders� 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]