Katsuhisa Ozaki

Numer. Algorithms, February, 2024

DGEMM on integer matrix multiplication unit.

[BibT_eX]

[DOI]

Hiroyuki Ootomo

Rio Yokota

Int. J. High Perform. Comput. Appl., 2024

Performance Enhancement of the Ozaki Scheme on Integer Matrix Multiplication Unit.

[BibT_eX]

[DOI]

Yuki Uchino

Toshiyuki Imamura

CoRR, 2024

Method for Verifying Solutions of Sparse Linear Systems with General Coefficients.

[BibT_eX]

[DOI]

Takeshi Terao

CoRR, 2024

Polygonal Sequence-driven Triangulation Validator: An Incremental Approach to 2D Triangulation Verification.

[BibT_eX]

[DOI]

CoRR, 2024

2022

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

[BibT_eX]

[DOI]

Numer. Algorithms, 2022

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

[BibT_eX]

[DOI]

Proceedings of the Parallel Processing and Applied Mathematics, 2022

2021

Accurate Matrix Multiplication on Binary128 Format Accelerated by Ozaki Scheme.

[BibT_eX]

[DOI]

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.

[BibT_eX]

[DOI]

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.

[BibT_eX]

[DOI]

Takeshi Terao

Parallel Comput., 2020

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

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2020

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

[BibT_eX]

[DOI]

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

2019

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

[BibT_eX]

[DOI]

Daichi Mukunoki

Proceedings of the Parallel Processing and Applied Mathematics, 2019

2018

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

[BibT_eX]

[DOI]

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

2016

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

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2016

2015

Improvement of error-free splitting for accurate matrix multiplication.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2015

2012

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

[BibT_eX]

[DOI]

Numer. Algorithms, 2012

Fast algorithms for floating-point interval matrix multiplication.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2012

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

[BibT_eX]

[DOI]

Inf. Comput., 2012

2011

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

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2011

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

[BibT_eX]

[DOI]