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 115 articles , 1 standard article )

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  1. Tajima, Shinichi; Nabeshima, Katsusuke: An effective method for computing Grothendieck point residue mappings (2022)
  2. Nabeshima, Katsusuke; Tajima, Shinichi: Testing zero-dimensionality of varieties at a point (2021)
  3. Nabeshima, Katsusuke; Tajima, Shinichi: A new algorithm for computing logarithmic vector fields along an isolated singularity and Bruce-Roberts Milnor ideals (2021)
  4. Nabeshima, Katsusuke; Tajima, Shinichi: Methods for computing (b)-functions associated with (\mu)-constant deformations: case of inner modality two (2021)
  5. Sakamoto, Ryuichi: Lexicographic and reverse lexicographic quadratic Gröbner bases of cut ideals (2021)
  6. Aoki, Satoshi: Introduction to computational algebraic statistics (2020)
  7. Iohara, Kenji (ed.); Malbos, Philippe (ed.); Saito, Masa-Hiko (ed.); Takayama, Nobuki (ed.): Two algebraic byways from differential equations: Gröbner bases and quivers (2020)
  8. Nakayama, Hiromasa; Takayama, Nobuki: Introduction to algorithms for (D)-modules with quiver (D)-modules (2020)
  9. Ohara, Katsuyoshi; Tajima, Shinichi: An algorithm for computing Grothendieck local residues. II: General case (2020)
  10. Saito, Morihiko: Roots of Bernstein-Sato polynomials of certain homogeneous polynomials with two-dimensional singular loci (2020)
  11. Yokoyama, Kazuhiro; Yasuda, Masaya; Takahashi, Yasushi; Kogure, Jun: Complexity bounds on Semaev’s naive index calculus method for ECDLP (2020)
  12. Fujimura, Masayo; Hariri, Parisa; Mocanu, Marcelina; Vuorinen, Matti: The Ptolemy-Alhazen problem and spherical mirror reflection (2019)
  13. Nabeshima, Katsusuke; Tajima, Shinichi: Alternative algorithms for computing generic (\mu^\ast)-sequences and local Euler obstructions of isolated hypersurface singularities (2019)
  14. Ohara, Katsuyoshi; Tajima, Shinichi: An algorithm for computing Grothendieck local residues. I: Shape basis case (2019)
  15. Tajima, Shinichi; Nabeshima, Katsusuke: An implementation of the Lê-Teissier method for computing local Euler obstructions (2019)
  16. Fujimura, Masayo: Interior and exterior curves of finite Blaschke products (2018)
  17. Hashiguchi, Hiroki; Takayama, Nobuki; Takemura, Akimichi: Distribution of the ratio of two Wishart matrices and cumulative probability evaluation by the holonomic gradient method (2018)
  18. Ishihara, Yuki; Yokoyama, Kazuhiro: Effective localization using double ideal quotient and its implementation (2018)
  19. Nabeshima, Katsusuke; Ohara, Katsuyoshi; Tajima, Shinichi: Comprehensive Gröbner systems in PBW algebras, Bernstein-Sato ideals and holonomic (D)-modules (2018)
  20. Nabeshima, Katsusuke; Tajima, Shinichi: A new method for computing the limiting tangent space of an isolated hypersurface singularity via algebraic local cohomology (2018)

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