Yuji Nakatsukasa, Ph.D.

Affiliations: 
2011 Applied Mathematics University of California, Davis, Davis, CA 
Area:
Applied Mathematics, Computer Science
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"Yuji Nakatsukasa"

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Roland Freund grad student 2011 UC Davis
 (Algorithms and Perturbation Theory for Matrix Eigenvalue Problems and the Singular Value Decomposition.)
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Publications

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Fukaya T, Kannan R, Nakatsukasa Y, et al. (2020) Shifted Cholesky QR for Computing the QR Factorization of Ill-Conditioned Matrices Siam Journal On Scientific Computing. 42
Bai Y, Wang F, Cheung G, et al. (2020) Fast Graph Sampling Set Selection Using Gershgorin Disc Alignment Ieee Transactions On Signal Processing. 68: 2419-2434
Nakatsukasa Y. (2020) Sharp error bounds for Ritz vectors and approximate singular vectors Ieee Communications Magazine. 89: 1843-1866
Goulart PJ, Nakatsukasa Y, Rontsis N. (2020) Accuracy of approximate projection to the semidefinite cone Linear Algebra and Its Applications. 594: 177-192
Nakatsukasa Y, Noferini V. (2019) Inertia laws and localization of real eigenvalues for generalized indefinite eigenvalue problems Linear Algebra and Its Applications. 578: 272-296
Adachi S, Nakatsukasa Y. (2019) Eigenvalue-based algorithm and analysis for nonconvex QCQP with one constraint Mathematical Programming. 173: 79-116
Ito S, Nakatsukasa Y. (2018) Stable polefinding and rational least-squares fitting via eigenvalues. Numerische Mathematik. 139: 633-682
Gawlik ES, Nakatsukasa Y, Sutton BD. (2018) A Backward Stable Algorithm for Computing the CS Decomposition via the Polar Decomposition Siam Journal On Matrix Analysis and Applications. 39: 1448-1469
Li Z, Nakatsukasa Y, Soma T, et al. (2018) On orthogonal tensors and best rank-one approximation ratio Siam Journal On Matrix Analysis and Applications. 39: 400-425
Filip S, Nakatsukasa Y, Trefethen LN, et al. (2018) Rational Minimax Approximation via Adaptive Barycentric Representations Siam Journal On Scientific Computing. 40
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