Stability Conditions of Monomial Bases and Comprehensive Grobner Systems

被引：0
|
作者：
Nabeshima, Katsusuke [1 ]
机构：
[1] Univ Tokushima, Inst Socioarts & Sci, Tokushima 7708502, Japan
来源：
COMPUTER ALGEBRA IN SCIENTIFIC COMPUTING, CASC 2012 | 2012年 / 7442卷
关键词：
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
A new stability condition of monomial bases is introduced. This stability condition is stronger than Kapur-Sun-Wang's one. Moreover, a new algorithm for computing comprehensive Grobner systems, is also introduced by using the new stability condition. A number of segments generated by the new algorithm is smaller than that of segments of in Kapur-Sun-Wang's algorithm.
引用
收藏
页码：248 / 259
页数：12
相关论文
共 50 条
  • [31] On computation of Grobner bases for linear difference systems
    Gerdt, VP
    NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 2006, 559 (01): : 211 - 214
  • [32] Minimal canonical comprehensive Grobner systems
    Manubens, Montserrat
    Montes, Antonio
    JOURNAL OF SYMBOLIC COMPUTATION, 2009, 44 (05) : 463 - 478
  • [33] Grobner bases and involutive bases
    Astrelin, AV
    Golubitsky, OD
    Pankratiev, EV
    ALGEBRA, 2000, : 49 - 55
  • [34] Grobner Bases for Nonlinear DAE Systems of Analog Circuits
    Spang, Silke J.
    COMPUTER SCIENCE JOURNAL OF MOLDOVA, 2008, 16 (01) : 93 - 116
  • [35] Solving Polynomial Systems Using Numeric Grobner Bases
    Lichtblau, Daniel
    MATHEMATICAL SOFTWARE - ICMS 2018, 2018, 10931 : 335 - 342
  • [36] Grobner Bases Applied to Systems of Linear Difference Equations
    Gerdt, V. P.
    PHYSICS OF PARTICLES AND NUCLEI LETTERS, 2008, 5 (03) : 248 - 254
  • [37] On the complexity of computing Grobner bases for weighted homogeneous systems
    Faugere, Jean-Charles
    El Din, Mohab Safey
    Verron, Thibaut
    JOURNAL OF SYMBOLIC COMPUTATION, 2016, 76 : 107 - 141
  • [38] Some applications of Grobner bases in multidimensional systems theory
    Zerz, E
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2001, 81 : S635 - S636
  • [39] Computation of Discrete Comprehensive Grobner Bases Using Modular Dynamic Evaluation
    Kurata, Yosuke
    Noro, Masayuki
    ISSAC 2007: PROCEEDINGS OF THE 2007 INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION, 2007, : 243 - 250
  • [40] SOLVING SYSTEMS OF ALGEBRAIC EQUATIONS BY USING GROBNER BASES
    KALKBRENER, M
    LECTURE NOTES IN COMPUTER SCIENCE, 1989, 378 : 282 - 292
12345