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Performance evaluation of the Sakurai-Sugiura method with a block Krylov subspace linear solver for large dense Hermitian-definite generalized eigenvalue problems.

T. Yano, Y. Futamura, A. Imakura, and T. Sakurai. JSIAM Lett., (2018)

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Efficient Algorithm for Linear Systems Arising in Solutions of Eigenproblems and Its Application to Electronic-Structure Calculations.Y. Futamura, T. Sakurai, S. Furuya, and J. ichi Iwata. VECPAR, volume 7851 of Lecture Notes in Computer Science, page 226-235. Springer, (2012)Graph Clustering via Cohesiveness-aware Vector Partitioning.H. Shiokawa, and Y. Futamura. iiWAS, page 33-40. ACM, (2018)Performance evaluation of the Sakurai-Sugiura method with a block Krylov subspace linear solver for large dense Hermitian-definite generalized eigenvalue problems.T. Yano, Y. Futamura, A. Imakura, and T. Sakurai. JSIAM Lett., (2018)Stochastic estimation method of eigenvalue density for nonlinear eigenvalue problem on the complex plane.Y. Maeda, Y. Futamura, and T. Sakurai. JSIAM Lett., (2011)Multi-GPU Scalable Implementation of a Contour-Integral-Based Eigensolver for Real Symmetric Dense Generalized Eigenvalue Problems.T. Yano, Y. Futamura, and T. Sakurai. 3PGCIC, page 121-127. IEEE, (2013)Filter analysis for the stochastic estimation of eigenvalue counts.Y. Maeda, Y. Futamura, A. Imakura, and T. Sakurai. JSIAM Lett., (2015)Alternating Optimization Method Based on Nonnegative Matrix Factorizations for Deep Neural Networks.T. Sakurai, A. Imakura, Y. Inoue, and Y. Futamura. ICONIP (4), volume 9950 of Lecture Notes in Computer Science, page 354-362. (2016)Structure-Preserving Technique in the Block SS-Hankel Method for Solving Hermitian Generalized Eigenvalue Problems.A. Imakura, Y. Futamura, and T. Sakurai. PPAM (1), volume 10777 of Lecture Notes in Computer Science, page 600-611. Springer, (2017)Block conjugate gradient type methods for the approximation of bilinear form CHA-1B.L. Du, Y. Futamura, and T. Sakurai. Computers & Mathematics with Applications, 66 (12): 2446-2455 (2014)Efficient and scalable calculation of complex band structure using Sakurai-Sugiura method.S. Iwase, Y. Futamura, A. Imakura, T. Sakurai, and T. Ono. SC, page 40:1-40:12. ACM, (2017)

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