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ORCIDTakeshi Ogita
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2020 – today
- 2022
[j26]Katsuhisa Ozaki
, Takeshi Ogita:
Generation of test matrices with specified eigenvalues using floating-point arithmetic. Numer. Algorithms 90(1): 241-262 (2022)- [c8]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: 40-54 - 2021
- [j25]Mitsuhiro T. Nakao, Takeshi Ogita, Siegfried M. Rump:
Foreword. J. Comput. Appl. Math. 382: 113078 (2021) - [c7]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: 100-109 - [c6]Daichi Mukunoki, Katsuhisa Ozaki, Takeshi Ogita, Toshiyuki Imamura:
Accurate Matrix Multiplication on Binary128 Format Accelerated by Ozaki Scheme. ICPP 2021: 78:1-78:11 - [c5]Kengo Nakajima, Takeshi Ogita, Masatoshi Kawai:
Efficient Parallel Multigrid Methods on Manycore Clusters with Double/Single Precision Computing. IPDPS Workshops 2021: 760-769 - 2020
- [j24]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) - [j23]Takeshi Ogita, Kensuke Aishima:
Iterative refinement for singular value decomposition based on matrix multiplication. J. Comput. Appl. Math. 369 (2020) - [j22]Daichi Mukunoki, Takeshi Ogita:
Performance and energy consumption of accurate and mixed-precision linear algebra kernels on GPUs. J. Comput. Appl. Math. 372: 112701 (2020) - [j21]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: 112830 (2020) - [j20]Takeshi Terao, Katsuhisa Ozaki, Takeshi Ogita:
LU-Cholesky QR algorithms for thin QR decomposition. Parallel Comput. 92: 102571 (2020) - [c4]Daichi Mukunoki, Katsuhisa Ozaki, Takeshi Ogita, Toshiyuki Imamura:
DGEMM Using Tensor Cores, and Its Accurate and Reproducible Versions. ISC 2020: 230-248 - [i1]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 abs/2004.04628 (2020)
2010 – 2019
- 2019
- [c3]Daichi Mukunoki, Takeshi Ogita, Katsuhisa Ozaki:
Reproducible BLAS Routines with Tunable Accuracy Using Ozaki Scheme for Many-Core Architectures. PPAM (1) 2019: 516-527 - 2018
- [c2]Shuntaro Ichimura, Takahiro Katagiri, Katsuhisa Ozaki, Takeshi Ogita, Toru Nagai:
Threaded Accurate Matrix-Matrix Multiplications with Sparse Matrix-Vector Multiplications. IPDPS Workshops 2018: 1093-1102 - 2016
- [j19]Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi:
Error-free transformation of matrix multiplication with a posteriori validation. Numer. Linear Algebra Appl. 23(5): 931-946 (2016) - 2015
- [j18]Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi:
Improvement of error-free splitting for accurate matrix multiplication. J. Comput. Appl. Math. 288: 127-140 (2015) - [j17]Yuka Kobayashi, Takeshi Ogita:
A fast and efficient algorithm for solving ill-conditioned linear systems. JSIAM Lett. 7: 1-4 (2015) - 2013
- [j16]Yuka Yanagisawa, Takeshi Ogita:
Convergence analysis of accurate inverse Cholesky factorization. JSIAM Lett. 5: 25-28 (2013) - [j15]Atsushi Minamihata, Kouta Sekine, Takeshi Ogita, Shin'ichi Oishi:
Fast Verified Solutions of Sparse Linear Systems with H-matrices. Reliab. Comput. 19(2): 127-141 (2013) - 2012
- [j14]Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi:
A robust algorithm for geometric predicate by error-free determinant transformation. Inf. Comput. 216: 3-13 (2012) - [j13]Katsuhisa Ozaki, Takeshi Ogita, Siegfried M. Rump, Shin'ichi Oishi:
Fast algorithms for floating-point interval matrix multiplication. J. Comput. Appl. Math. 236(7): 1795-1814 (2012) - [j12]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): 95-118 (2012) - 2011
- [j11]Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi:
An algorithm for automatically selecting a suitable verification method for linear systems. Numer. Algorithms 56(3): 363-382 (2011) - [j10]Katsuhisa Ozaki, Takeshi Ogita, Shin'ichi Oishi:
Tight and efficient enclosure of matrix multiplication by using optimized BLAS. Numer. Linear Algebra Appl. 18(2): 237-248 (2011) - [j9]Naoya Yamanaka, Masahide Kashiwagi, Shin'ichi Oishi, Takeshi Ogita:
A Note on a Verified Automatic Integration Algorithm. Reliab. Comput. 15(2): 156-167 (2011) - 2010
- [j8]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: 24-45 (2010) - [j7]Takeshi Ogita:
Accurate Matrix Factorization: Inverse LU and Inverse QR Factorizations. SIAM J. Matrix Anal. Appl. 31(5): 2477-2497 (2010)
2000 – 2009
- 2008
- [j6]Naoya Yamanaka, Takeshi Ogita, Siegfried M. Rump, Shin'ichi Oishi:
A parallel algorithm for accurate dot product. Parallel Comput. 34(6-8): 392-410 (2008) - [j5]Siegfried M. Rump, Takeshi Ogita, Shin'ichi Oishi:
Accurate Floating-Point Summation Part I: Faithful Rounding. SIAM J. Sci. Comput. 31(1): 189-224 (2008) - [j4]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): 1269-1302 (2008) - 2005
- [j3]Takeshi Ogita, Shin'ichi Oishi:
Fast Inclusion of Interval Matrix Multiplication. Reliab. Comput. 11(3): 191-205 (2005) - [j2]Takeshi Ogita, Siegfried M. Rump, Shin'ichi Oishi:
Accurate Sum and Dot Product. SIAM J. Sci. Comput. 26(6): 1955-1988 (2005) - [c1]Shinya Miyajima, Takeshi Ogita, Shin'ichi Oishi:
Fast Verification for Respective Eigenvalues of Symmetric Matrix. CASC 2005: 306-317 - 2003
- [j1]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): 229-239 (2003)
Coauthor Index
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