Takeshi Ogita

According to our database, Takeshi Ogita authored at least 36 papers between 2003 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

Verified Error Bounds for Matrix Decompositions.

Siegfried M. Rump, Takeshi Ogita

SIAM J. Matrix Anal. Appl., 2024

2022

Generation of test matrices with specified eigenvalues using floating-point arithmetic.

Katsuhisa Ozaki, Takeshi Ogita

Numer. Algorithms, 2022

Infinite-Precision Inner Product and Sparse Matrix-Vector Multiplication Using Ozaki Scheme with Dot2 on Manycore Processors.

Daichi Mukunoki, Katsuhisa Ozaki, Takeshi Ogita, Toshiyuki Imamura

Proceedings of the Parallel Processing and Applied Mathematics, 2022

2021

Foreword.

Mitsuhiro T. Nakao, Takeshi Ogita, Siegfried M. Rump

J. Comput. Appl. Math., 2021

Efficient Parallel Multigrid Methods on Manycore Clusters with Double/Single Precision Computing.

Kengo Nakajima, Takeshi Ogita, Masatoshi Kawai

Proceedings of the IEEE International Parallel and Distributed Processing Symposium Workshops, 2021

Accurate Matrix Multiplication on Binary128 Format Accelerated by Ozaki Scheme.

Daichi Mukunoki, Katsuhisa Ozaki, Takeshi Ogita, Toshiyuki Imamura

Proceedings of the ICPP 2021: 50th International Conference on Parallel Processing, Lemont, IL, USA, August 9, 2021

Conjugate Gradient Solvers with High Accuracy and Bit-wise Reproducibility between CPU and GPU using Ozaki scheme.

Daichi Mukunoki, Katsuhisa Ozaki, Takeshi Ogita, Roman Iakymchuk

Proceedings of the HPC Asia 2021: The International Conference on High Performance Computing in Asia-Pacific Region, 2021

2020

LU-Cholesky QR algorithms for thin QR decomposition.

Takeshi Terao, Katsuhisa Ozaki, Takeshi Ogita

Parallel Comput., 2020

Iterative refinement for singular value decomposition based on matrix multiplication.

Takeshi Ogita, Kensuke Aishima

J. Comput. Appl. Math., 2020

Performance and energy consumption of accurate and mixed-precision linear algebra kernels on GPUs.

Daichi Mukunoki, Takeshi Ogita

J. Comput. Appl. Math., 2020

Modified error bounds for approximate solutions of dense linear systems.

Atsushi Minamihata, Takeshi Ogita, Siegfried M. Rump, Shin'ichi Oishi

J. Comput. Appl. Math., 2020

An a posteriori verification method for generalized real-symmetric eigenvalue problems in large-scale electronic state calculations.

Takeo Hoshi, Takeshi Ogita, Katsuhisa Ozaki, Takeshi Terao

J. Comput. Appl. Math., 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, Takeo Hoshi, Yuki Murakami, Maho Nakata, Takeshi Ogita, Kentaro Sano, Taisuke Boku

CoRR, 2020

DGEMM Using Tensor Cores, and Its Accurate and Reproducible Versions.

Daichi Mukunoki, Katsuhisa Ozaki, Takeshi Ogita, Toshiyuki Imamura

Proceedings of the High Performance Computing - 35th International Conference, 2020

2019

Reproducible BLAS Routines with Tunable Accuracy Using Ozaki Scheme for Many-Core Architectures.

Daichi Mukunoki, Takeshi Ogita, Katsuhisa Ozaki

Proceedings of the Parallel Processing and Applied Mathematics, 2019

2018

Threaded Accurate Matrix-Matrix Multiplications with Sparse Matrix-Vector Multiplications.

Shuntaro Ichimura, Takahiro Katagiri, Katsuhisa Ozaki, Takeshi Ogita, Toru Nagai

Proceedings of the 2018 IEEE International Parallel and Distributed Processing Symposium Workshops, 2018

2016

Error-free transformation of matrix multiplication with a posteriori validation.

Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi

Numer. Linear Algebra Appl., 2016

2015

A fast and efficient algorithm for solving ill-conditioned linear systems.

Yuka Kobayashi, Takeshi Ogita

JSIAM Lett., 2015

Improvement of error-free splitting for accurate matrix multiplication.

Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi

J. Comput. Appl. Math., 2015

2013

Fast Verified Solutions of Sparse Linear Systems with H-matrices.

Atsushi Minamihata, Kouta Sekine, Takeshi Ogita, Shin'ichi Oishi

Reliab. Comput., 2013

Convergence analysis of accurate inverse Cholesky factorization.

Yuka Yanagisawa, Takeshi Ogita

JSIAM Lett., 2013

2012

Error-free transformations of matrix multiplication by using fast routines of matrix multiplication and its applications.

Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi, Siegfried M. Rump

Numer. Algorithms, 2012

Fast algorithms for floating-point interval matrix multiplication.

Katsuhisa Ozaki, Takeshi Ogita, Siegfried M. Rump, Shin'ichi Oishi

J. Comput. Appl. Math., 2012

A robust algorithm for geometric predicate by error-free determinant transformation.

Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi

Inf. Comput., 2012

2011

A Note on a Verified Automatic Integration Algorithm.

Naoya Yamanaka, Masahide Kashiwagi, Shin'ichi Oishi, Takeshi Ogita

Reliab. Comput., 2011

Tight and efficient enclosure of matrix multiplication by using optimized BLAS.

Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi

Numer. Linear Algebra Appl., 2011

An algorithm for automatically selecting a suitable verification method for linear systems.

Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi

Numer. Algorithms, 2011

2010

Accurate Matrix Factorization: Inverse LU and Inverse QR Factorizations.

Takeshi Ogita

SIAM J. Matrix Anal. Appl., 2010

Fast Verification for All Eigenpairs in Symmetric Positive Definite Generalized Eigenvalue Problems.

Shinya Miyajima, Takeshi Ogita, Siegfried M. Rump, Shin'ichi Oishi

Reliab. Comput., 2010

2008

Accurate Floating-Point Summation Part II: Sign, K-Fold Faithful and Rounding to Nearest.

Siegfried M. Rump, Takeshi Ogita, Shin'ichi Oishi

SIAM J. Sci. Comput., 2008

Accurate Floating-Point Summation Part I: Faithful Rounding.

Siegfried M. Rump, Takeshi Ogita, Shin'ichi Oishi

SIAM J. Sci. Comput., 2008

A parallel algorithm for accurate dot product.

Naoya Yamanaka, Takeshi Ogita, Siegfried M. Rump, Shin'ichi Oishi

Parallel Comput., 2008

2005

Accurate Sum and Dot Product.

Takeshi Ogita, Siegfried M. Rump, Shin'ichi Oishi

SIAM J. Sci. Comput., 2005

Fast Inclusion of Interval Matrix Multiplication.

Takeshi Ogita, Shin'ichi Oishi

Reliab. Comput., 2005

Fast Verification for Respective Eigenvalues of Symmetric Matrix.

Shinya Miyajima, Takeshi Ogita, Shin'ichi Oishi

Proceedings of the Computer Algebra in Scientific Computing, 8th International Workshop, 2005

2003

Computation of Sharp Rigorous Componentwise Error Bounds for the Approximate Solutions of Systems of Linear Equations.

Takeshi Ogita, Shin'ichi Oishi, Yasunori Ushiro

Reliab. Comput., 2003