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Risa/Asir—a computer algebra system
Risa’s subroutine libraries include basic arithmetic subroutines, parser, evaluator and storage manager, and each of them can be used individually.
Holonomic Gradient Descent and its Application to Fisher-Bingham Integral
A Computer Algebra System
- M. Noro
Risa/Asir consists of the Risa engine for performing operations on mathematical objects and an interpreter for programs written in the Asir user language. In Risa/Asir, polynomials are represented in…
A Computer Algebra System: Risa/Asir
- M. Noro
- Computer ScienceAlgebra, Geometry, and Software Systems
This paper explains an overview of Risa/Asir, its functions and implemented algorithms with their performances, the OpenXM API and the way to add built-in functions.
AN EFFICIENT MODULAR ALGORITHM FOR COMPUTING THE GLOBAL B-FUNCTION
- M. Noro
- Computer Science
- 1 July 2002
A Modular Method to Compute the Rational Univariate Representation of Zero-dimensional Ideals
In this paper, a new method is proposed to compute the RUR of the radical of I by applying modular techniques to solving the systems of linear equations and its theoretical efficiency is discussed.
Computation of the splitting fields and the Galois groups of polynomials
This study is a continuation of Yokoyama et al. , which improved the method by Landau and Miller  for the determination of solvability of a polynomial over the integers. In both methods, the…
Stratification associated with local b-functions
Solutions of Systems of Algebraic Equations and Linear Maps on Residue Class Rings
Efficient Implementation of Schoof's Algorithm
By realizing efficient combination of several improvements, such as Atkin-Elkies's method, the isogeny cycles method, and trial search by match-and-sort techniques, the number of rational points on an elliptic curve over GF(p) in a reasonable time is counted.