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- Masayuki Noro, Taku Takeshima
- ISSAC
- 1992

A computer algebra system risa/asir consists of a command asir for interactive use and several subroutine libraries which can be used as the parts of other programs. The grammar of the user language of asir is a variant of that of C and asir has a built-in dbx-like debugger. Risa's subroutine libraries include basic arithmetic subroutines, parser, evaluator… (More)

- Kazuhiro Yokoyama, Masayuki Noro, Taku Takeshima
- J. Symb. Comput.
- 1992

- Tetsuya Izu, Jun Kogure, Masayuki Noro, Kazuhiro Yokoyama
- ASIACRYPT
- 1998

- Masayuki Noro, Kazuhiro Yokoyama
- ISSAC
- 2002

Polynomial factorization plays a significant role in computational mathematics and its application to engineering, since it forms a fundamental part of algorithms for higher algebraic computations. Multivariate polynomial factorization over finite fields is very important for computations of mathematical object over positive characteristic fields, which… (More)

- Tomonari Sei, Nobuki Takayama, +4 authors Katsuyoshi Ohara
- ArXiv
- 2010

We give a new algorithm to find local maximum and minimum of a holonomic function and apply it for the Fisher-Bingham integral on the sphere S n , which is used in the directional statistics. The method utilizes the theory and algorithms of holonomic systems.

- Masayuki Noro
- Algebra, Geometry, and Software Systems
- 2003

- Kazuhiro Yokoyama, Masayuki Noro, Taku Takeshima
- J. Symb. Comput.
- 1989

- Masayuki Noro, Kazuhiro Yokoyama
- J. Symb. Comput.
- 1999

To give an efficiently computable representation of the zeros of a zero-dimensional ideal I, Rouillier (1996) introduced the rational univariate representation (RUR) as an extension of the generalized shape lemma (GSL) proposed by Alonso et al. (1996). In this paper, we propose a new method to compute the RUR of the radical of I, and report on its practical… (More)

- Kenta Nishiyama, Masayuki Noro
- J. Symb. Comput.
- 2010