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Abstract:

This paper is devoted to some last algorithmic progress in classical elimination theory from the complexity point of view. These results will be presented as a short survey (without proofs) treating essentially upper and lower bounds problems. The first aim of this paper is to show that the upper bounds results - as much progress as they may represent - seem not to solve satisfactorily the basic problems we are considering. On the other hand we shall also show how both the improvement of general algorithms and the research of lower bounds are related to certain mathematical tools as duality theory or arithmetic intersection theory.

Registro:

Documento: Artículo
Título:Complexity bounds in elimination theory - A survey
Autor:Solernó, P.
Filiación:Dept. de Mathématiques, Université de Limoges, 123 Av. A. Thomas, F-87060 Limoges, France
Departamento de Matemáticas, Fac. de Ciencias Exactas, Univ. de Buenos Aires, 1428 Buenos Aires, Argentina
Palabras clave:Algebraic variety; Complexity; Straight line program; Algebra; Algorithms; Mathematical models; Polynomials; Problem solving; Topology; Algebraic variety; Arithmetic intersection theory; Complexity bounds; Duality theory; Elimination theory; Straight line program; Computational complexity
Año:1996
Volumen:42
Número:4-6
Página de inicio:429
Página de fin:438
DOI: http://dx.doi.org/10.1016/S0378-4754(96)00017-1
Título revista:Mathematics and Computers in Simulation
Título revista abreviado:Math Comput Simul
ISSN:03784754
CODEN:MCSID
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784754_v42_n4-6_p429_Solerno

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Citas:

---------- APA ----------
(1996) . Complexity bounds in elimination theory - A survey. Mathematics and Computers in Simulation, 42(4-6), 429-438.
http://dx.doi.org/10.1016/S0378-4754(96)00017-1
---------- CHICAGO ----------
Solernó, P. "Complexity bounds in elimination theory - A survey" . Mathematics and Computers in Simulation 42, no. 4-6 (1996) : 429-438.
http://dx.doi.org/10.1016/S0378-4754(96)00017-1
---------- MLA ----------
Solernó, P. "Complexity bounds in elimination theory - A survey" . Mathematics and Computers in Simulation, vol. 42, no. 4-6, 1996, pp. 429-438.
http://dx.doi.org/10.1016/S0378-4754(96)00017-1
---------- VANCOUVER ----------
Solernó, P. Complexity bounds in elimination theory - A survey. Math Comput Simul. 1996;42(4-6):429-438.
http://dx.doi.org/10.1016/S0378-4754(96)00017-1