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 44 articles )

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  1. Xue, Jungong; Li, Ren-Cang: Highly accurate doubling algorithms for $M$-matrix algebraic Riccati equations (2017)
  2. Bangay, Shaun; Beliakov, Gleb: On the fast Lanczos method for computation of eigenvalues of Hankel matrices using multiprecision arithmetics. (2016)
  3. Muller, Jean-Michel: Elementary functions. Algorithms and implementation (2016)
  4. Bailey, D.H.; Borwein, J.M.: Computation and theory of Mordell-Tornheim-Witten sums. II. (2015)
  5. Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.: Computation and theory of extended Mordell-Tornheim-Witten sums (2014)
  6. Fernández-Torres, Gustavo: Derivative free iterative methods with memory of arbitrary high convergence order (2014)
  7. Khattri, Sanjay K.; Steihaug, Trond: Algorithm for forming derivative-free optimal methods (2014)
  8. Khattri, Sanjay Kumar: How to increase convergence order of the Newton method to $2\times m$? (2014)
  9. Bailey, D.H.; Borwein, J.M.; Crandall, R.E.; Zucker, I.J.: Lattice sums arising from the Poisson equation (2013)
  10. Kuhlman, Kristopher L.: Review of inverse Laplace transform algorithms for Laplace-space numerical approaches (2013)
  11. Rump, Siegfried M.: Accurate solution of dense linear systems I: Algorithms in rounding to nearest (2013)
  12. Tsai, Chia-Cheng; Lin, Po-Ho: On the exponential convergence of the method of fundamental solutions (2013)
  13. Tsai, Chia-Cheng; Young, D.L.: Using the method of fundamental solutions for obtaining exponentially convergent Helmholtz eigensolutions (2013)
  14. Bailey, D.H.; Barrio, R.; Borwein, J.M.: High-precision computation: mathematical physics and dynamics (2012)
  15. Bruinier, Jan H.; Strömberg, Fredrik: Computation of harmonic weak Maass forms (2012)
  16. Chevillard, S.: The functions erf and erfc computed with arbitrary precision and explicit error bounds (2012)
  17. Coclite, G.M.; Gargano, F.; Sciacca, V.: Analytic solutions and singularity formation for the peakon $b$-family equations (2012)
  18. Bailey, D.H.; Borwein, J.M.: High-precision numerical integration: progress and challenges (2011)
  19. Keitel, D.; Schneider, P.: Constrained probability distributions of correlation functions (2011)
  20. Khattri, Sanjay K.; Argyros, Ioannis K.: Sixth order derivative free family of iterative methods (2011)

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