ARPREC

ARPREC: An arbitrary precision computation package. This paper describes a new software package for performing arithmetic with an arbitrarily high level of numeric precision. It is based on the earlier MPFUN package cite mpf90, enhanced with special IEEE floating-point numerical techniques and several new functions. This package is written in C++ code for high performance and broad portability and includes both C++ and Fortran-90 translation modules, so that conventional C++ and Fortran-90 programs can utilize the package with only very minor changes. This paper includes a survey of some of the interesting applications of this package and its predecessors


References in zbMATH (referenced in 55 articles )

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  1. Belkić, Dževad: All the trinomial roots, their powers and logarithms from the Lambert series, Bell polynomials and Fox-Wright function: illustration for genome multiplicity in survival of irradiated cells (2019)
  2. Feng, Yong; Chen, Jingwei; Wu, Wenyuan: The PSLQ algorithm for empirical data (2019)
  3. Belkić, Dževad: The Euler (T) and Lambert (W) functions in mechanistic radiobiological models with chemical kinetics for repair of irradiated cells (2018)
  4. Fasi, Massimiliano; Higham, Nicholas J.: Multiprecision algorithms for computing the matrix logarithm (2018)
  5. Johansson, Fredrik; Mezzarobba, Marc: Fast and rigorous arbitrary-precision computation of Gauss-Legendre quadrature nodes and weights (2018)
  6. Muller, Jean-Michel; Brunie, Nicolas; de Dinechin, Florent; Jeannerod, Claude-Pierre; Joldes, Mioara; Lefèvre, Vincent; Melquiond, Guillaume; Revol, Nathalie; Torres, Serge: Handbook of floating-point arithmetic (2018)
  7. Xue, Jungong; Li, Ren-Cang: Highly accurate doubling algorithms for (M)-matrix algebraic Riccati equations (2017)
  8. Bangay, Shaun; Beliakov, Gleb: On the fast Lanczos method for computation of eigenvalues of Hankel matrices using multiprecision arithmetics. (2016)
  9. Jiang, Hao; Graillat, Stef; Barrio, Roberto; Yang, Canqun: Accurate, validated and fast evaluation of elementary symmetric functions and its application (2016)
  10. Muller, Jean-Michel: Elementary functions. Algorithms and implementation (2016)
  11. Bailey, D. H.; Borwein, J. M.: Computation and theory of Mordell-Tornheim-Witten sums. II. (2015)
  12. Li, Wei; Luo, Li-Shi; Shen, Jie: Accurate solution and approximations of the linearized BGK equation for steady Couette flow (2015)
  13. Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.: Computation and theory of extended Mordell-Tornheim-Witten sums (2014)
  14. Fernández-Torres, Gustavo: Derivative free iterative methods with memory of arbitrary high convergence order (2014)
  15. Khattri, Sanjay K.; Steihaug, Trond: Algorithm for forming derivative-free optimal methods (2014)
  16. Khattri, Sanjay Kumar: How to increase convergence order of the Newton method to (2\timesm)? (2014)
  17. Akira SaiToh: ZKCM: a C++ library for multiprecision matrix computation with applications in quantum information (2013) arXiv
  18. Bailey, D. H.; Borwein, J. M.; Crandall, R. E.; Zucker, I. J.: Lattice sums arising from the Poisson equation (2013)
  19. Khattri, Sanjay K.; Argyros, Ioannis K.: Unification of sixth-order iterative methods (2013)
  20. Kuhlman, Kristopher L.: Review of inverse Laplace transform algorithms for Laplace-space numerical approaches (2013)

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