Items where Author is "Nakatsukasa, Yuji"

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 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 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) 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. (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. SIAM Journal On Matrix Analysis and Applications. ISSN 1749-9097 (In Press)

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]

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)