XBLAS - Extra Precise Basic Linear Algebra Subroutines. This library of routines is part of a reference implementation for the Dense and Banded BLAS routines, along with their Extended and Mixed Precision versions, as documented in Chapters 2 and 4 of the new BLAS Standard, which is available from: http://www.netlib.org/blas/blast-forum/.

References in zbMATH (referenced in 39 articles )

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  1. Mukunoki, Daichi; Ogita, Takeshi: Performance and energy consumption of accurate and mixed-precision linear algebra kernels on GPUs (2020)
  2. Ogita, Takeshi; Aishima, Kensuke: Iterative refinement for singular value decomposition based on matrix multiplication (2020)
  3. Ogita, Takeshi; Aishima, Kensuke: Iterative refinement for symmetric eigenvalue decomposition. II. Clustered eigenvalues (2019)
  4. Graillat, Stef: An accurate algorithm for evaluating rational functions (2018)
  5. Huang, Jianyu; Matthews, Devin A.; van de Geijn, Robert A.: Strassen’s algorithm for tensor contraction (2018)
  6. Ogita, Takeshi; Aishima, Kensuke: Iterative refinement for symmetric eigenvalue decomposition (2018)
  7. Du, Peibing; Barrio, Roberto; Jiang, Hao; Cheng, Lizhi: Accurate quotient-difference algorithm: error analysis, improvements and applications (2017)
  8. He, Keshan; Du, Peibing; Jiang, Hao; Duan, Chongwen; Wang, Hongxia; Cheng, Lizhi: Accurate and efficient evaluation of Chebyshev tensor product surface (2017)
  9. Jiang, Hao; Graillat, Stef; Barrio, Roberto; Yang, Canqun: Accurate, validated and fast evaluation of elementary symmetric functions and its application (2016)
  10. Graillat, Stef; Lauter, Christoph; Tang, Ping Tak Peter; Yamanaka, Naoya; Oishi, Shin’ichi: Efficient calculations of faithfully rounded (l_2)-norms of (n)-vectors (2015)
  11. Ozaki, Katsuhisa; Ogita, Takeshi; Oishi, Shin’ichi: Improvement of error-free splitting for accurate matrix multiplication (2015)
  12. Tian, Rong: Simulation at extreme-scale: co-design thinking and practices (2014) ioport
  13. Rump, Siegfried M.: Accurate solution of dense linear systems I: Algorithms in rounding to nearest (2013)
  14. Graillat, Stef; Ménissier-Morain, Valérie: Accurate summation, dot product and polynomial evaluation in complex floating point arithmetic (2012)
  15. Griewank, Andreas; Kulshreshtha, Kshitij; Walther, Andrea: On the numerical stability of algorithmic differentiation (2012)
  16. Ozaki, Katsuhisa; Ogita, Takeshi; Oishi, Shin’ichi; Rump, Siegfried M.: Error-free transformations of matrix multiplication by using fast routines of matrix multiplication and its applications (2012)
  17. Rump, Siegfried M.: Verified bounds for least squares problems and underdetermined linear systems (2012)
  18. Graillat, Stef; Jézéquel, Fabienne; Wang, Shiyue; Zhu, Yuxiang: Stochastic arithmetic in multiprecision (2011)
  19. Jiang, Hao; Barrio, Roberto; Liao, Xiangke; Cheng, Lizhi: Accurate evaluation algorithm for bivariate polynomial in Bernstein-Bézier form (2011)
  20. Jiang, Hao; Barrio, Roberto; Li, Housen; Liao, Xiangke; Cheng, Lizhi; Su, Fang: Accurate evaluation of a polynomial in Chebyshev form (2011)

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