Involution approach to investigating polynomial systems

Mathematics and Computers in Simulation

Volumn 42, Issue 4-6, 1996, Pages 323-332

  Zharkov, A Yu ^a   Blinkov, Yu A ^a  

^a SARATOV STATE UNIVERSITY   (Russian Federation)

Author keywords

Computer algebra; Gr bner bases; Involutive polynomial systems; Zero dimensional ideals

Indexed keywords

ALGEBRA; ALGORITHMS; DIFFERENTIATION (CALCULUS); FUNCTIONS; MATHEMATICAL TRANSFORMATIONS; PARTIAL DIFFERENTIAL EQUATIONS; POLES AND ZEROS; PROBLEM SOLVING; ROOT LOCI;

COMPUTER ALGEBRA; GROBNER BASES; INVOLUTION APPROACH; INVOLUTIVE SYSTEMS;

POLYNOMIALS;

EID: 0030289327     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4754(96)00006-7     Document Type: Article

References (9)

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3. C.H. Riquier, Les système d'équations aux derivées partielles (Gauthier-Villars, Paris, 1910).
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5. B. Buchberger, Gröbner bases: An algorithmic method in polynomial ideal theory, in: N.K. Bose, ed., Recent Trends in Multidimensional System Theory (Reidel, Dordrecht, 1985) 184-232.
6. A.Yu. Zharkov and Yu.A. Blinkov, Involutive bases of zero-dimensional ideals, To appear.
7. J.C. Faugère, P. Gianni, D. Lazard and T. Mora, Efficient computation of zero-dimensional Gröbner bases by change of ordering, Technical Report LITP 89-52, 1989.
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9. H. Melenk, H.M. Möller and W. Neun, Impact of Computing in Science and Engineering 1 (1989) 138.