A Note on Solving Problem 7 of the SIAM 100-Digit Challenge Using C-XSC

Authors:
Mariana Kolberg;Walter Krämer;Michael Zimmer
Affiliations:
Faculdade de Informática, Pontifícia Universidade Católica do Rio Grande do Sul, Prédio 16 - Porto Alegre, Brazil 6681;Wissenschaftliches Rechnen/Softwaretechnologie, Bergische Universität Wuppertal, Wuppertal, Germany;Wissenschaftliches Rechnen/Softwaretechnologie, Bergische Universität Wuppertal, Wuppertal, Germany
Venue:
Numerical Validation in Current Hardware Architectures
Year:
2009

Citing 11
Cited 0

The arithmetic of the digital computer: A new approach

SIAM Review
ScaLAPACK user's guide

ScaLAPACK user's guide
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms

The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
LAPACK Users' guide (third ed.)

LAPACK Users' guide (third ed.)
C-XSC: A C++ Class Library for Extended Scientific Computing

C-XSC: A C++ Class Library for Extended Scientific Computing
Parallel Scientific Computing in C++ and MPI

Parallel Scientific Computing in C++ and MPI
Accurate Sum and Dot Product

SIAM Journal on Scientific Computing
Numerical Toolbox for Verified Computing II: Advanced Numerical Problems

Numerical Toolbox for Verified Computing II: Advanced Numerical Problems
Improving the Performance of a Verified Linear System Solver Using Optimized Libraries and Parallel Computation

High Performance Computing for Computational Science - VECPAR 2008
Dense linear system: a parallel self-verified solver

International Journal of Parallel Programming
Fast (Parallel) Dense Linear System Solvers in C-XSC Using Error Free Transformations and BLAS

Numerical Validation in Current Hardware Architectures

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper presents the usage of a reliable parallel linear system solver to compute the solution of problem 7 of the SIAM 100-digit challenge. Tests were executed on two different clusters: ALICEnext in Wuppertal and XC1 in Karlsruhe. An approach to find all the 100 digits of the exact solution with maximum accuracy is also discussed and tested.