Takeshi Ogita

37 papers B 2C 2Journal 29Unranked 4
YearRankTypeTitle / Venue / Authors
2026 J jnl
Iterative Refinement for a Subset of Eigenvectors of Symmetric Matrices via Matrix Multiplications.
CoRR
Takeshi Terao, Katsuhisa Ozaki, Toshiyuki Imamura, Takeshi Ogita
2024 J jnl
Verified Error Bounds for Matrix Decompositions.
SIAM J. Matrix Anal. Appl.
Siegfried M. Rump, Takeshi Ogita
2022 J jnl
Generation of test matrices with specified eigenvalues using floating-point arithmetic.
Numer. Algorithms
Katsuhisa Ozaki, Takeshi Ogita
2022 — conf
Infinite-Precision Inner Product and Sparse Matrix-Vector Multiplication Using Ozaki Scheme with Dot2 on Manycore Processors.
PPAM (1)
Daichi Mukunoki, Katsuhisa Ozaki, Takeshi Ogita, Toshiyuki Imamura
2021 B conf
Accurate Matrix Multiplication on Binary128 Format Accelerated by Ozaki Scheme.
ICPP
Daichi Mukunoki, Katsuhisa Ozaki, Takeshi Ogita, Toshiyuki Imamura
2021 C conf
Conjugate Gradient Solvers with High Accuracy and Bit-wise Reproducibility between CPU and GPU using Ozaki scheme.
HPC Asia
Daichi Mukunoki, Katsuhisa Ozaki, Takeshi Ogita, Roman Iakymchuk
2021 — conf
Efficient Parallel Multigrid Methods on Manycore Clusters with Double/Single Precision Computing.
IPDPS Workshops
Kengo Nakajima, Takeshi Ogita, Masatoshi Kawai
2021 J jnl
Foreword.
J. Comput. Appl. Math.
Mitsuhiro T. Nakao, Takeshi Ogita, Siegfried M. Rump
2020 J jnl
An a posteriori verification method for generalized real-symmetric eigenvalue problems in large-scale electronic state calculations.
J. Comput. Appl. Math.
Takeo Hoshi, Takeshi Ogita, Katsuhisa Ozaki, Takeshi Terao
2020 C conf
DGEMM Using Tensor Cores, and Its Accurate and Reproducible Versions.
ISC
Daichi Mukunoki, Katsuhisa Ozaki, Takeshi Ogita, Toshiyuki Imamura
2020 J jnl
Iterative refinement for singular value decomposition based on matrix multiplication.
J. Comput. Appl. Math.
Takeshi Ogita, Kensuke Aishima
2020 J jnl
LU-Cholesky QR algorithms for thin QR decomposition.
Parallel Comput.
Takeshi Terao, Katsuhisa Ozaki, Takeshi Ogita
2020 J jnl
Modified error bounds for approximate solutions of dense linear systems.
J. Comput. Appl. Math.
Atsushi Minamihata, Takeshi Ogita, Siegfried M. Rump, Shin'ichi Oishi
2020 J jnl
Performance and energy consumption of accurate and mixed-precision linear algebra kernels on GPUs.
J. Comput. Appl. Math.
Daichi Mukunoki, Takeshi Ogita
2020 J jnl
White Paper from Workshop on Large-scale Parallel Numerical Computing Technology (LSPANC 2020): HPC and Computer Arithmetic toward Minimal-Precision Computing.
CoRR
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
2019 — conf
Reproducible BLAS Routines with Tunable Accuracy Using Ozaki Scheme for Many-Core Architectures.
PPAM (1)
Daichi Mukunoki, Takeshi Ogita, Katsuhisa Ozaki
2018 — conf
Threaded Accurate Matrix-Matrix Multiplications with Sparse Matrix-Vector Multiplications.
IPDPS Workshops
Shuntaro Ichimura, Takahiro Katagiri, Katsuhisa Ozaki, Takeshi Ogita, Toru Nagai
2016 J jnl
Error-free transformation of matrix multiplication with a posteriori validation.
Numer. Linear Algebra Appl.
Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi
2015 J jnl
A fast and efficient algorithm for solving ill-conditioned linear systems.
JSIAM Lett.
Yuka Kobayashi, Takeshi Ogita
2015 J jnl
Improvement of error-free splitting for accurate matrix multiplication.
J. Comput. Appl. Math.
Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi
2013 J jnl
Convergence analysis of accurate inverse Cholesky factorization.
JSIAM Lett.
Yuka Yanagisawa, Takeshi Ogita
2013 J jnl
Fast Verified Solutions of Sparse Linear Systems with H-matrices.
Reliab. Comput.
Atsushi Minamihata, Kouta Sekine, Takeshi Ogita, Shin'ichi Oishi
2012 J jnl
A robust algorithm for geometric predicate by error-free determinant transformation.
Inf. Comput.
Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi
2012 J jnl
Error-free transformations of matrix multiplication by using fast routines of matrix multiplication and its applications.
Numer. Algorithms
Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi, Siegfried M. Rump
2012 J jnl
Fast algorithms for floating-point interval matrix multiplication.
J. Comput. Appl. Math.
Katsuhisa Ozaki, Takeshi Ogita, Siegfried M. Rump, Shin'ichi Oishi
2011 J jnl
A Note on a Verified Automatic Integration Algorithm.
Reliab. Comput.
Naoya Yamanaka, Masahide Kashiwagi, Shin'ichi Oishi, Takeshi Ogita
2011 J jnl
An algorithm for automatically selecting a suitable verification method for linear systems.
Numer. Algorithms
Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi
2011 J jnl
Tight and efficient enclosure of matrix multiplication by using optimized BLAS.
Numer. Linear Algebra Appl.
Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi
2010 J jnl
Accurate Matrix Factorization: Inverse LU and Inverse QR Factorizations.
SIAM J. Matrix Anal. Appl.
Takeshi Ogita
2010 J jnl
Fast Verification for All Eigenpairs in Symmetric Positive Definite Generalized Eigenvalue Problems.
Reliab. Comput.
Shinya Miyajima, Takeshi Ogita, Siegfried M. Rump, Shin'ichi Oishi
2008 J jnl
A parallel algorithm for accurate dot product.
Parallel Comput.
Naoya Yamanaka, Takeshi Ogita, Siegfried M. Rump, Shin'ichi Oishi
2008 J jnl
Accurate Floating-Point Summation Part I: Faithful Rounding.
SIAM J. Sci. Comput.
Siegfried M. Rump, Takeshi Ogita, Shin'ichi Oishi
2008 J jnl
Accurate Floating-Point Summation Part II: Sign, K-Fold Faithful and Rounding to Nearest.
SIAM J. Sci. Comput.
Siegfried M. Rump, Takeshi Ogita, Shin'ichi Oishi
2005 J jnl
Accurate Sum and Dot Product.
SIAM J. Sci. Comput.
Takeshi Ogita, Siegfried M. Rump, Shin'ichi Oishi
2005 J jnl
Fast Inclusion of Interval Matrix Multiplication.
Reliab. Comput.
Takeshi Ogita, Shin'ichi Oishi
2005 B conf
Fast Verification for Respective Eigenvalues of Symmetric Matrix.
CASC
Shinya Miyajima, Takeshi Ogita, Shin'ichi Oishi
2003 J jnl
Computation of Sharp Rigorous Componentwise Error Bounds for the Approximate Solutions of Systems of Linear Equations.
Reliab. Comput.
Takeshi Ogita, Shin'ichi Oishi, Yasunori Ushiro