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 27 articles )

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  1. Ozaki, Katsuhisa; Ogita, Takeshi; Oishi, Shin’ichi: Improvement of error-free splitting for accurate matrix multiplication (2015)
  2. Rump, Siegfried M.: Accurate solution of dense linear systems I: Algorithms in rounding to nearest (2013)
  3. Graillat, Stef; Ménissier-Morain, Valérie: Accurate summation, dot product and polynomial evaluation in complex floating point arithmetic (2012)
  4. Griewank, Andreas; Kulshreshtha, Kshitij; Walther, Andrea: On the numerical stability of algorithmic differentiation (2012)
  5. 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)
  6. Rump, Siegfried M.: Verified bounds for least squares problems and underdetermined linear systems (2012)
  7. Graillat, Stef; Jézéquel, Fabienne; Wang, Shiyue; Zhu, Yuxiang: Stochastic arithmetic in multiprecision (2011)
  8. Jiang, Hao; Barrio, Roberto; Liao, Xiangke; Cheng, Lizhi: Accurate evaluation algorithm for bivariate polynomial in Bernstein-Bézier form (2011)
  9. Jiang, Hao; Barrio, Roberto; Li, Housen; Liao, Xiangke; Cheng, Lizhi; Su, Fang: Accurate evaluation of a polynomial in Chebyshev form (2011)
  10. Pan, Victor Y.; Qian, Guoliang; Zheng, Ai-Long; Chen, Zhao: Matrix computations and polynomial root-finding with preprocessing (2011)
  11. Sarra, Scott A.: Radial basis function approximation methods with extended precision floating point arithmetic (2011)
  12. Baesler, Malte; Voigt, Sven-Ole; Teufel, Thomas: A decimal floating-point accurate scalar product unit with a parallel fixed-point multiplier on a virtex-5 FPGA (2010)
  13. Jiang, Hao; Li, Shengguo; Cheng, Lizhi; Su, Fang: Accurate evaluation of a polynomial and its derivative in Bernstein form (2010)
  14. Pan, Victor Y.; Qian, Guoliang: Randomized preprocessing of homogeneous linear systems of equations (2010)
  15. Bach, Eric; Klyve, Dominic; Sorenson, Jonathan P.: Computing prime harmonic sums (2009)
  16. Graillat, Stef; Langlois, Philippe; Louvet, Nicolas: Algorithms for accurate, validated and fast polynomial evaluation (2009)
  17. Pan, V.Y.; Murphy, B.; Qian, G.; Rosholt, R.E.: A new error-free floating-point summation algorithm (2009)
  18. Rump, Siegfried M.: Ultimately fast accurate summation (2009)
  19. Pan, Victor Y.; Ivolgin, Dmitriy; Murphy, Brian; Rosholt, Rhys Eric; Taj-Eddin, Islam; Tang, Yuqing; Yan, Xiaodong: Additive preconditioning and aggregation in matrix computations (2008)
  20. Pan, V.Y.; Grady, D.; Murphy, B.; Qian, G.; Rosholt, R.E.; Ruslanov, A.D.: Schur aggregation for linear systems and determinants (2008)

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