## Risa/Asir

### Summary

Risa/Asir is a general computer algebra system and

also a tool for various computation in mathematics and engineering.

The development of Risa/Asir started in

1989 at FUJITSU. Binaries have been freely available since 1994

and now the source code is also free. Currently Kobe distribution

is the most active branch of its development.

We characterize Risa/Asir as follows:

(1) An environment for large scale and efficient polynomial computation.

(2) A platform for parallel and distributed computation based on OpenXM protocols.

### Authors

Masayuki Noro, Kazuhiro Yokoyama, Taku Takeshima, Takeshi Shimoyama, Hiroshi Anai, Takayuki Kando, Tomokatsu Saito, Yuji Kondoh, Hirokazu Murao, Thomas Sturm, Katsuyoshi Ohara, Nobuki Takayama, (who committed to fundamental design, kernel sources and core libraries). As to committers of libraries and very recent contributors, see also http://www.math.kobe-u.ac.jp/OpenXM/people.html

### Vendor

Fujitsu laboratory or asir.org or Kobe university.

### Links

### Status

officially approved by the authors### Aims and scope

### Mathematical Classification

### Keywords

- algebra
- algebraic curves
- algebraic numbers
- arbitrary precision
- arithmetic operations
- diagonal matrices
- differential operators
- distributed polynomials
- eigenvalues
- elementary transcendental functions
- elliptic curves
- factorization
- finite fields
- functors
- GCD computation
- Groebner basis computation
- holonomic systems
- impicit function plotting
- list processing operations
- matrices
- matrix
- matrix images
- matrix kernels
- matrix rank
- modules
- numer fields
- numerical functions
- operations on functions
- polynomials
- univariate polynomials
- vectors
- Weyl algebra