Extension of P-adic Exact Scientific Computational Library (ESCL) to Compute the Exponential of Rational Matrix
Abstract
For the past three years, we have been developing an Exact Scientific Computational Library (ESCL) using p-adic arithmetic. New algorithms have been designed and implemented for matrix operations with rational numbers by representing numerator and denominator with arbitrary length integers, all integers and fractional numbers are represented by p-adic sequences, and all arithmetic calculations are carried out in p-adic domain. In this project, we have worked on: (1) investigating the relation of the length M of p-adic expansion for a rational matrix and the periodicity of a resulted p-adic sequence from arithmetic operation in p-adic field; and extension of the ESCL to compute: (2) the complex rational matrix; (3) the exponential of a rational matrix.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 07, 2008
- Accession Number
- ADA479031
Entities
People
- Chao Lu
Organizations
- Towson University