Risa is the name of whole libraries of a computer algebra system (CAS) which is under development at FUJITSU LABORATORIES LIMITED. The structure of Risa is as follows. - The basic algebraic engine This is the part which performs basic algebraic operations, such as arithmetic operations, to algebraic objects, e.g., numbers and polynomials, which are already converted into internal forms. It exists, like `libc.a’ of UNIX, as a library of ordinary UNIX system. The algebraic engine is written mainly in C language and partly in assembler. It serves as the basic operation part of Asir, a standard language interface of Risa. - Memory Manager Risa employs, as its memory management component (the memory manager), a free software distributed by Boehm (gc-6.1alpha5). It is proposed by [Boehm,Weiser], and developed by Boehm and his colleagues. The memory manager has a memory allocator which automatically reclaims garbages, i.e., allocated but unused memories, and refreshes them for further use. The algebraic engine gets all its necessary memories through the memory manager. - Asir Asir is a standard language interface of Risa’s algebraic engine. It is one of the possible language interfaces, because one can develop one’s own language interface easily on Risa system. Asir is an example of such language interfaces. Asir has very similar syntax and semantics as C language. Furthermore, it has a debugger that provide a subset of commands of dbx, a widely used debugger of C language.

This software is also referenced in ORMS.

References in zbMATH (referenced in 111 articles , 1 standard article )

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  1. Ohara, Katsuyoshi; Tajima, Shinichi; Terui, Akira: Developing linear algebra packages on Risa/Asir for eigenproblems (2014)
  2. Tajima, Shinichi; Ohara, Katsuyoshi; Terui, Akira: An extension and efficient calculation of the Horner’s rule for matrices (2014)
  3. Hamada, Tatsuyoshi: Warm-up drills and tips for mathematical software (2013)
  4. Hashiguchi, Hiroki; Numata, Yasuhide; Takayama, Nobuki; Takemura, Akimichi: The holonomic gradient method for the distribution function of the largest root of a Wishart matrix (2013)
  5. Hibi, Takayuki (ed.): Gröbner bases. Statistics and software systems. Transl. from the Japanese (2013)
  6. Nakayama, Hiromasa; Nishiyama, Kenta: Examples and exercises (2013)
  7. Nakayama, Hiromasa; Takayama, Nobuki: Computing differential equations for integrals associated to smooth Fano polytope (2013)
  8. Noro, Masayuki: Computation of Gröbner bases (2013)
  9. Sei, Tomonari; Shibata, Hiroki; Takemura, Akimichi; Ohara, Katsuyoshi; Takayama, Nobuki: Properties and applications of Fisher distribution on the rotation group (2013)
  10. Noro, Masayuki: Implementation of a primary decomposition package (2012)
  11. Oaku, Toshinori: An algorithm to compute the differential equations for the logarithm of a polynomial (2012)
  12. Oshima, Toshio: Fractional calculus of Weyl algebra and Fuchsian differential equations (2012)
  13. Kawazoe, Taro; Noro, Masayuki: Algorithms for computing a primary ideal decomposition without producing intermediate redundant components (2011)
  14. Nakayama, Hiromasa; Nishiyama, Kenta; Noro, Masayuki; Ohara, Katsuyoshi; Sei, Tomonari; Takayama, Nobuki; Takemura, Akimichi: Holonomic gradient descent and its application to the Fisher-Bingham integral (2011)
  15. Sato, Yosuke; Inoue, Shutaro; Suzuki, Akira; Nabeshima, Katsusuke; Sakai, Ko: Boolean Gröbner bases (2011)
  16. Shibuta, Takafumi: Algorithms for computing multiplier ideals (2011)
  17. Uchida, Yukihiro: Division polynomials and canonical local heights on hyperelliptic Jacobians (2011)
  18. Uchida, Yukihiro: Canonical local heights and multiplication formulas for the Jacobians of curves of genus 2 (2011)
  19. Andres, Daniel; Brickenstein, Michael; Levandovskyy, Viktor; Martín-Morales, Jorge; Schönemann, Hans: Constructive (D)-module theory with \textttSingular (2010)
  20. Bahloul, Rouchdi; Oaku, Toshinori: Local Bernstein-Sato ideals: algorithm and examples (2010)