Implementation of the polynomial method to calculate eAt using P-adic

Authors:
Xinkai Li;Mu Zhao;Chao Lu;Jon A. Sjogren
Affiliations:
Towson University, Towson, MD;Towson University, Towson, MD;Towson University, Towson, MD;Air Force Office of Scientific Research, Arlington, VA
Venue:
Proceedings of the 2012 ACM Research in Applied Computation Symposium
Year:
2012

Citing 5
Cited 0

A Survey of Numerical Mathematics

A Survey of Numerical Mathematics
The conversion of Hensel codes to their rational equivalents: or how to solve the Gregory's open problem

ACM SIGSAM Bulletin
Matrix Processors Using p-adic Arithmetic for Exact Linear Computations

IEEE Transactions on Computers
Efficient Algorithms and Implementation for Error-Free Computation Using P-adic

CNSI '11 Proceedings of the 2011 First ACIS/JNU International Conference on Computers, Networks, Systems and Industrial Engineering
A method for Hensel code overflow detection

ACM SIGAPP Applied Computing Review

Quantified Score

Hi-index	0.00

Visualization

Abstract

The Polynomial method described in [1] has been implemented for the non-singular rational square matrix A for the computation of eAt using the P-adic arithmetic software package---Exact Scientific Computational Library (ESCL) which we have developed. During the calculation process, truncation error is completely avoided. Efficiency comparisons have been investigated with direct summation, P-adic integer and P-adic long-integer data type representations [2].