Arthur D. Chtcherba, Ph.D.

Affiliations: 
2003 University of New Mexico, Albuquerque, NM, United States 
Area:
Computer Science, Mathematics
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"Arthur Chtcherba"

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Deepak Kapur grad student 2003 Univ. of New Mexico
 (A new Sylvester -type resultant method based on the Dixon-Bezout formulation.)
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Publications

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Chtcherba AD, Kapur D, Minimair M. (2009) Cayley-Dixon projection operator for multi-univariate composed polynomials Journal of Symbolic Computation. 44: 972-999
Chtcherba AD, Kapur D. (2006) Conditions for determinantal formula for resultant of a polynomial system Proceedings of the International Symposium On Symbolic and Algebraic Computation, Issac. 2006: 55-62
Chtcherba AD, Kapur D, Minimair M. (2005) Cayley-Dixon resultant matrices of multi-univariate composed polynomials Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 3718: 125-137
Chtcherba AD, Kapur D. (2004) Resultants for unmixed bivariate polynomial systems produced using the Dixon formulation Journal of Symbolic Computation. 38: 915-958
Chtcherba AD, Kapur D. (2004) Constructing Sylvester-type resultant matrices using the Dixon formulation Journal of Symbolic Computation. 38: 777-814
Chtcherba AD, Kapur D. (2004) Support hull: Relating the Cayley-Dixon resultant constructions to the support of a polynomial system Proceedings of the International Symposium On Symbolic and Algebraic Computation, Issac. 95-102
Chtcherba AD, Kapur D. (2003) Exact resultants for corner-cut unmixed multivariate polynomial systems using the Dixon formulation Journal of Symbolic Computation. 36: 289-315
Chtcherba AD, Kapur D. (2002) On the efficiency and optimality of Dixon-based resultant methods Proceedings of the International Symposium On Symbolic and Algebraic Computation, Issac. 29-36
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