Accelerating the Singular Value Decomposition of Rectangular Matrices with the CSX600 and the Integrable SVD. - Yusaku Yamamoto; Takeshi Fukaya; Takashi Uneyama; Masami Takata; Kinji Kimura; Masashi Iwasaki; Yoshimasa Nakamura (PaCT, 2007)

A dynamic programming approach to optimizing the blocking strategy for the Householder QR decomposition. - Takeshi Fukaya; Yusaku Yamamoto; Shao-Liang Zhang (CLUSTER, 2008)

Differential qd algorithm for totally nonnegative band matrices: convergence properties and error analysis. - Yusaku Yamamoto; Takeshi Fukaya (JSIAM Lett., 2009)

Dynamic Programming Approaches to Optimizing the Blocking Strategy for Basic Matrix Decompositions. - Yusaku Yamamoto; Takeshi Fukaya (Software Automatic Tuning, From Concepts to State-of-the-Art Results, 2010)

Differential qd algorithm for totally nonnegative Hessenberg matrices: introduction of origin shifts and relationship with the discrete hungry Lotka-Volterra system. - Yusaku Yamamoto; Takeshi Fukaya (JSIAM Lett., 2010)

Acceleration of Hessenberg Reduction for Nonsymmetric Eigenvalue Problems in a Hybrid CPU-GPU Computing Environment. - Jun-ichi Muramatsu; Takeshi Fukaya; Shao-Liang Zhang; Kinji Kimura; Yusaku Yamamoto (Int. J. Netw. Comput., 2011)

CholeskyQR2: a simple and communication-avoiding algorithm for computing a tall-skinny QR factorization on a large-scale parallel system. - Takeshi Fukaya; Yuji Nakatsukasa; Yuka Yanagisawa; Yusaku Yamamoto (ScalA@SC, 2014)

Performance Analysis of the Householder-Type Parallel Tall-Skinny QR Factorizations Toward Automatic Algorithm Selection. - Takeshi Fukaya; Toshiyuki Imamura; Yusaku Yamamoto (VECPAR, 2014)

Performance Evaluation of the Eigen Exa Eigensolver on Oakleaf-FX: Tridiagonalization Versus Pentadiagonalization. - Takeshi Fukaya; Toshiyuki Imamura (IPDPS Workshops, 2015)

CAHTR: Communication-Avoiding Householder TRidiagonalization. - Toshiyuki Imamura; Takeshi Fukaya; Yusuke Hirota; Susumu Yamada; Masahiko Machida (PARCO, 2015)

Performance Analysis of the Chebyshev Basis Conjugate Gradient Method on the K Computer. - Yosuke Kumagai; Akihiro Fujii; Teruo Tanaka; Yusuke Hirota; Takeshi Fukaya; Toshiyuki Imamura; Reiji Suda (PPAM (1), 2015)

On Constructing Cost Models for Online Automatic Tuning Using ATMathCoreLib: Case Studies through the SVD Computation on a Multicore Processor. - Seiji Nagashima; Takeshi Fukaya; Yusaku Yamamoto (MCSoC, 2016)

Roundoff error analysis of the CholeskyQR2 algorithm in an oblique inner product. - Yusaku Yamamoto; Yuji Nakatsukasa; Yuka Yanagisawa; Takeshi Fukaya (JSIAM Lett., 2016)

Time-space tiling with tile-level parallelism for the 3D FDTD method. - Takeshi Fukaya; Takeshi Iwashita (HPC Asia, 2018)

A Case Study on Modeling the Performance of Dense Matrix Computation: Tridiagonalization in the EigenExa Eigensolver on the K Computer. - Takeshi Fukaya; Toshiyuki Imamura; Yusaku Yamamoto (IPDPS Workshops, 2018)

An investigation into the impact of the structured QR kernel on the overall performance of the TSQR algorithm. - Takeshi Fukaya (HPC Asia, 2019)

Enhancement of Algebraic Block Multi-Color Ordering for ILU Preconditioning and Its Performance Evaluation in Preconditioned GMRES Solver. - Senxi Li; Takeshi Iwashita; Takeshi Fukaya (J. Inf. Process., 2019)

Effect of Mixed Precision Computing on H-Matrix Vector Multiplication in BEM Analysis. - Rise Ooi; Takeshi Iwashita; Takeshi Fukaya; Akihiro Ida; Rio Yokota (HPC Asia, 2020)

An Integer Arithmetic-Based Sparse Linear Solver Using a GMRES Method and Iterative Refinement. - Takeshi Iwashita; Kengo Suzuki; Takeshi Fukaya (ScalA@SC, 2020)

Hierarchical block multi-color ordering: a new parallel ordering method for vectorization and parallelization of the sparse triangular solver in the ICCG method. - Takeshi Iwashita; Senxi Li; Takeshi Fukaya (CCF Trans. High Perform. Comput., 2020)

White Paper from Workshop on Large-scale Parallel Numerical Computing Technology (LSPANC 2020): HPC and Computer Arithmetic toward Minimal-Precision Computing. - Roman Iakymchuk; Daichi Mukunoki; Artur Podobas; Fabienne Jézéquel; Toshiyuki Imamura; Norihisa Fujita; Jens Huthmann; Shuhei Kudo; Yiyu Tan; Jens Domke; Kai Torben Ohlhus; Takeshi Fukaya; et al. (CoRR, 2020)

Shifted Cholesky QR for Computing the QR Factorization of Ill-Conditioned Matrices. - Takeshi Fukaya; Ramaseshan Kannan; Yuji Nakatsukasa; Yusaku Yamamoto; Yuka Yanagisawa (SIAM J. Sci. Comput., 2020)

Accelerating the SpMV kernel on standard CPUs by exploiting the partially diagonal structures. - Takeshi Fukaya; Koki Ishida; Akie Miura; Takeshi Iwashita; Hiroshi Nakashima (CoRR, 2021)

Distributed Parallel Tall-Skinny QR Factorization: Performance Evaluation of Various Algorithms on Various Systems. - Takeshi Fukaya (PDCAT, 2022)

Convergence Acceleration of Preconditioned CG Solver Based on Error Vector Sampling for a Sequence of Linear Systems. - Takeshi Iwashita; Kota Ikehara; Takeshi Fukaya; Takeshi Mifune (CoRR, 2022)

A New AINV Preconditioner for the CG Method in Hybrid CPU-GPU Computing Environment. - Kengo Suzuki; Takeshi Fukaya; Takeshi Iwashita (J. Inf. Process., 2022)

Numerical Investigation into the Mixed Precision GMRES(m) Method Using FP64 and FP32. - Yingqi Zhao; Takeshi Fukaya; Linjie Zhang; Takeshi Iwashita (J. Inf. Process., 2022)

Performance prediction of massively parallel computation by Bayesian inference. - Hisashi Kohashi; Harumichi Iwamoto; Takeshi Fukaya; Yusaku Yamamoto; Takeo Hoshi (JSIAM Lett., 2022)

A novel ILU preconditioning method with a block structure suitable for SIMD vectorization. - Kengo Suzuki; Takeshi Fukaya; Takeshi Iwashita (J. Comput. Appl. Math., 2023)

Subspace Correction Preconditioning for Solving a Sequence of Asymmetric Linear Systems Using the Bi-CGSTAB Method. - Hirotoshi Tamori; Takeshi Fukaya; Takeshi Iwashita (J. Inf. Process., 2023)

Numerical Behavior of Mixed Precision Iterative Refinement Using the BiCGSTAB Method. - Yingqi Zhao; Takeshi Fukaya; Takeshi Iwashita (J. Inf. Process., 2023)

Convergence acceleration of preconditioned conjugate gradient solver based on error vector sampling for a sequence of linear systems. - Takeshi Iwashita; Kota Ikehara; Takeshi Fukaya; Takeshi Mifune (Numer. Linear Algebra Appl., 2023)

A Cholesky QR type algorithm for computing tall-skinny QR factorization with column pivoting. - Takeshi Fukaya; Yuji Nakatsukasa; Yusaku Yamamoto (IPDPS, 2024)

Condition Number Estimation in a Solution Process of a Large Sparse Symmetric Linear System. - Yuya Kudo; Yuki Satake; Takeshi Fukaya; Takeshi Iwashita (J. Inf. Process., 2025)

Performance Evaluation of the Parallel ES-SC-ILU-BiCGSTAB Method. - Hirotoshi Tamori; Takeshi Fukaya; Takeshi Iwashita (J. Inf. Process., 2025)

An Integer Arithmetic-Based AMG Preconditioned FGMRES Solver. - Kengo Suzuki; Takeshi Fukaya; Takeshi Iwashita (ACM Trans. Math. Softw., 2025)