Takeshi Ogita

Publication Activity (10 Years)

Years Active: 2003-2022
Publications (10 Years): 16

Top Topics

Qr Decomposition

Singular Value Decomposition

Matrix Multiplication

Top Venues

J. Comput. Appl. Math.

IPDPS Workshops

Publications

Daichi Mukunoki, Katsuhisa Ozaki, Takeshi Ogita, Toshiyuki Imamura
Infinite-Precision Inner Product and Sparse Matrix-Vector Multiplication Using Ozaki Scheme with Dot2 on Manycore Processors. PPAM (1) (2022)
Katsuhisa Ozaki, Takeshi Ogita
Generation of test matrices with specified eigenvalues using floating-point arithmetic. Numer. Algorithms 90 (1) (2022)
Daichi Mukunoki, Katsuhisa Ozaki, Takeshi Ogita, Toshiyuki Imamura
Accurate Matrix Multiplication on Binary128 Format Accelerated by Ozaki Scheme. ICPP (2021)
Mitsuhiro T. Nakao, Takeshi Ogita, Siegfried M. Rump
Foreword. J. Comput. Appl. Math. 382 (2021)
Kengo Nakajima, Takeshi Ogita, Masatoshi Kawai
Efficient Parallel Multigrid Methods on Manycore Clusters with Double/Single Precision Computing. IPDPS Workshops (2021)
Daichi Mukunoki, Katsuhisa Ozaki, Takeshi Ogita, Roman Iakymchuk
Conjugate Gradient Solvers with High Accuracy and Bit-wise Reproducibility between CPU and GPU using Ozaki scheme. HPC Asia (2021)
Atsushi Minamihata, Takeshi Ogita, Siegfried M. Rump, Shin'ichi Oishi
Modified error bounds for approximate solutions of dense linear systems. J. Comput. Appl. Math. 369 (2020)
Takeshi Ogita, Kensuke Aishima
Iterative refinement for singular value decomposition based on matrix multiplication. J. Comput. Appl. Math. 369 (2020)
Daichi Mukunoki, Takeshi Ogita
Performance and energy consumption of accurate and mixed-precision linear algebra kernels on GPUs. J. Comput. Appl. Math. 372 (2020)
Daichi Mukunoki, Katsuhisa Ozaki, Takeshi Ogita, Toshiyuki Imamura
DGEMM Using Tensor Cores, and Its Accurate and Reproducible Versions. ISC (2020)
Takeshi Terao, Katsuhisa Ozaki, Takeshi Ogita
LU-Cholesky QR algorithms for thin QR decomposition. Parallel Comput. 92 (2020)
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, Takeo Hoshi, Yuki Murakami, Maho Nakata, Takeshi Ogita, Kentaro Sano, Taisuke Boku
White Paper from Workshop on Large-scale Parallel Numerical Computing Technology (LSPANC 2020): HPC and Computer Arithmetic toward Minimal-Precision Computing. CoRR (2020)
Takeo Hoshi, Takeshi Ogita, Katsuhisa Ozaki, Takeshi Terao
An a posteriori verification method for generalized real-symmetric eigenvalue problems in large-scale electronic state calculations. J. Comput. Appl. Math. 376 (2020)
Daichi Mukunoki, Takeshi Ogita, Katsuhisa Ozaki
Reproducible BLAS Routines with Tunable Accuracy Using Ozaki Scheme for Many-Core Architectures. PPAM (1) (2019)
Shuntaro Ichimura, Takahiro Katagiri, Katsuhisa Ozaki, Takeshi Ogita, Toru Nagai
Threaded Accurate Matrix-Matrix Multiplications with Sparse Matrix-Vector Multiplications. IPDPS Workshops (2018)
Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi
Error-free transformation of matrix multiplication with a posteriori validation. Numer. Linear Algebra Appl. 23 (5) (2016)
Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi
Improvement of error-free splitting for accurate matrix multiplication. J. Comput. Appl. Math. 288 (2015)
Yuka Kobayashi, Takeshi Ogita
A fast and efficient algorithm for solving ill-conditioned linear systems. JSIAM Lett. 7 (2015)
Yuka Yanagisawa, Takeshi Ogita
Convergence analysis of accurate inverse Cholesky factorization. JSIAM Lett. 5 (2013)
Atsushi Minamihata, Kouta Sekine, Takeshi Ogita, Shin'ichi Oishi
Fast Verified Solutions of Sparse Linear Systems with H-matrices. Reliab. Comput. 19 (2) (2013)
Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi
A robust algorithm for geometric predicate by error-free determinant transformation. Inf. Comput. 216 (2012)
Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi, Siegfried M. Rump
Error-free transformations of matrix multiplication by using fast routines of matrix multiplication and its applications. Numer. Algorithms 59 (1) (2012)
Katsuhisa Ozaki, Takeshi Ogita, Siegfried M. Rump, Shin'ichi Oishi
Fast algorithms for floating-point interval matrix multiplication. J. Comput. Appl. Math. 236 (7) (2012)
Naoya Yamanaka, Masahide Kashiwagi, Shin'ichi Oishi, Takeshi Ogita
A Note on a Verified Automatic Integration Algorithm. Reliab. Comput. 15 (2) (2011)
Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi
An algorithm for automatically selecting a suitable verification method for linear systems. Numer. Algorithms 56 (3) (2011)
Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi
Tight and efficient enclosure of matrix multiplication by using optimized BLAS. Numer. Linear Algebra Appl. 18 (2) (2011)
Shinya Miyajima, Takeshi Ogita, Siegfried M. Rump, Shin'ichi Oishi
Fast Verification for All Eigenpairs in Symmetric Positive Definite Generalized Eigenvalue Problems. Reliab. Comput. 14 (2010)
Takeshi Ogita
Accurate Matrix Factorization: Inverse LU and Inverse QR Factorizations. SIAM J. Matrix Anal. Appl. 31 (5) (2010)
Siegfried M. Rump, Takeshi Ogita, Shin'ichi Oishi
Accurate Floating-Point Summation Part I: Faithful Rounding. SIAM J. Sci. Comput. 31 (1) (2008)
Naoya Yamanaka, Takeshi Ogita, Siegfried M. Rump, Shin'ichi Oishi
A parallel algorithm for accurate dot product. Parallel Comput. 34 (6-8) (2008)
Siegfried M. Rump, Takeshi Ogita, Shin'ichi Oishi
Accurate Floating-Point Summation Part II: Sign, K-Fold Faithful and Rounding to Nearest. SIAM J. Sci. Comput. 31 (2) (2008)
Takeshi Ogita, Siegfried M. Rump, Shin'ichi Oishi
Accurate Sum and Dot Product. SIAM J. Sci. Comput. 26 (6) (2005)
Takeshi Ogita, Shin'ichi Oishi
Fast Inclusion of Interval Matrix Multiplication. Reliab. Comput. 11 (3) (2005)
Shinya Miyajima, Takeshi Ogita, Shin'ichi Oishi
Fast Verification for Respective Eigenvalues of Symmetric Matrix. CASC (2005)
Takeshi Ogita, Shin'ichi Oishi, Yasunori Ushiro
Computation of Sharp Rigorous Componentwise Error Bounds for the Approximate Solutions of Systems of Linear Equations. Reliab. Comput. 9 (3) (2003)