LBNL

LBNL- High-Precision Software Directory: double-double precision, quad-double precision and arbitrary precision (also termed ”multiprecision” or ”multiple precision”) softwareARPREC (C++/Fortran-90 arbitrary precision package); QD (C++/Fortran-90 double-double and quad-double package); MPFUN90 (Fortran-90 arbitrary precision package) ; DDFUN90 (Fortran-90 double-double package) ; DSFUN90 (Fortran-90 double-single package) ; MPFUN77 (Fortran-77 arbitrary precision package) ; RANDOM (Fortran-90 pseudo-random number generator based on provably normal number theory)

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References in zbMATH (referenced in 42 articles )

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  1. Iakymchuk, Roman; Barreda, Maria; Wiesenberger, Matthias; Aliaga, José I.; Quintana-Ortí, Enrique S.: Reproducibility strategies for parallel preconditioned conjugate gradient (2020)
  2. Mukunoki, Daichi; Ogita, Takeshi: Performance and energy consumption of accurate and mixed-precision linear algebra kernels on GPUs (2020)
  3. Boukaram, Wajih; Turkiyyah, George; Keyes, David: Randomized GPU algorithms for the construction of hierarchical matrices from matrix-vector operations (2019)
  4. Hirayama, Hiroshi: Numerical calculation by quadruple precision higher order Taylor series method of the Pythagorean problem of three bodies (2019)
  5. Ogita, Takeshi; Aishima, Kensuke: Iterative refinement for symmetric eigenvalue decomposition. II. Clustered eigenvalues (2019)
  6. Navas-Palencia, Guillermo: Fast and accurate algorithm for the generalized exponential integral (E_\nu(x)) for positive real order (2018)
  7. Ogita, Takeshi; Aishima, Kensuke: Iterative refinement for symmetric eigenvalue decomposition (2018)
  8. Du, Peibing; Barrio, Roberto; Jiang, Hao; Cheng, Lizhi: Accurate quotient-difference algorithm: error analysis, improvements and applications (2017)
  9. He, Keshan; Du, Peibing; Jiang, Hao; Duan, Chongwen; Wang, Hongxia; Cheng, Lizhi: Accurate and efficient evaluation of Chebyshev tensor product surface (2017)
  10. Wittmann, Roland; Bungartz, Hans-Joachim; Neumann, Philipp: High performance shallow water kernels for parallel overland flow simulations based on FullSWOF2D (2017)
  11. Bliss, Nathan; Verschelde, Jan: Computing all space curve solutions of polynomial systems by polyhedral methods (2016)
  12. Jiang, Hao; Graillat, Stef; Barrio, Roberto; Yang, Canqun: Accurate, validated and fast evaluation of elementary symmetric functions and its application (2016)
  13. Joldes, Mioara; Muller, Jean-Michel; Popescu, Valentina; Tucker, Warwick: CAMPARY: CUDA multiple precision arithmetic library and applications (2016)
  14. Mommer, Mario S.; Sommer, Andreas; Schlöder, Johannes P.; Bock, H. Georg: A nonlinear preconditioner for optimum experimental design problems (2015)
  15. Saye, R. I.: High-order quadrature methods for implicitly defined surfaces and volumes in hyperrectangles (2015)
  16. Verschelde, Jan; Yu, Xiangcheng: Polynomial homotopy continuation on GPUs (2015)
  17. Yamazaki, Ichitaro; Tomov, Stanimire; Dongarra, Jack: Mixed-precision Cholesky QR factorization and its case studies on multicore CPU with multiple GPUs (2015)
  18. Du, Peibing; Jiang, Hao; Cheng, Lizhi: Accurate evaluation of polynomials in Legendre basis (2014)
  19. Cleveland, Mathew A.; Brunner, Thomas A.; Gentile, Nicholas A.; Keasler, Jeffrey A.: Obtaining identical results with double precision global accuracy on different numbers of processors in parallel particle Monte Carlo simulations (2013)
  20. Jeannerod, Claude-Pierre; Louvet, Nicolas; Muller, Jean-Michel: Further analysis of Kahan’s algorithm for the accurate computation of (2\times2) determinants (2013)

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