Artículo

Aldaz, M.; Heintz, J.; Matera, G.; Montaña, J.L.; Pardo, L.M. "Combinatorial hardness proofs for polynomial evaluation" (1998) 23rd International Symposium on the Mathematical Foundations of Computer Science, MFCS 1998. 1450 LNCS:167-175
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Abstract:

We exhibit a new method for showing lower bounds for the time complexity of polynomial evaluation procedures. Time, denoted by L, is measured in terms of nonscalar arithmetic operations. The time complexity function considered in this paper is L2. In contrast with known methods for proving lower complexity bounds, our method is purely combinatorial and does not require powerful tools from algebraic or diophantine geometry. By means of our method we are able to verify the computational hardness of new natural families of univariate polynomials for which this was impossible up to now. By computational hardness we mean that the complexity function L2 grows linearly in the degree of the polynomials of the family we are considering. Our method can also be applied to classical questions of transcendence proofs in number theory and geometry. A list of (old and new) formal power series is given whose transcendency can be shown easily by our method. © Springer-Verlag Berlin Heidelberg 1998.

Registro:

Documento: Artículo
Título:Combinatorial hardness proofs for polynomial evaluation
Autor:Aldaz, M.; Heintz, J.; Matera, G.; Montaña, J.L.; Pardo, L.M.
Ciudad:Brno
Filiación:Universidad Publica de Navarra, Departamento de Matemática e Informática, 31006 Pamplona, Spain
Universidad de Cantabria, Fac. de Ciencias, Depto. de Matemáticas, Est. y Comp., 39071 Santander, Spain
Universidad de Buenos Aires, FCEyN, Departamento de Matemáticas, (1428) Buenos Aires, Argentina
Universidad Nacional de Gral. Sarmiento, Instituto de Desarrollo Humano, (1663) San-Miguel, Argentina
Palabras clave:Arithmetic operations; Complexity functions; Computational hardness; Formal power series; Lower bounds; Lower complexity; Polynomial evaluation; Time complexity; Arithmetic operations; Complexity functions; Computational hardness; Extended abstracts; Formal power series; Lower complexity; Polynomial evaluation; Time complexity; Computer science; Function evaluation; Number theory; Function evaluation; Number theory; Polynomials; Polynomials; Algebra
Año:1998
Volumen:1450 LNCS
Página de inicio:167
Página de fin:175
Título revista:23rd International Symposium on the Mathematical Foundations of Computer Science, MFCS 1998
Título revista abreviado:Lect. Notes Comput. Sci.
ISSN:03029743
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03029743_v1450LNCS_n_p167_Aldaz

Referencias:

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Citas:

---------- APA ----------
Aldaz, M., Heintz, J., Matera, G., Montaña, J.L. & Pardo, L.M. (1998) . Combinatorial hardness proofs for polynomial evaluation. 23rd International Symposium on the Mathematical Foundations of Computer Science, MFCS 1998, 1450 LNCS, 167-175.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03029743_v1450LNCS_n_p167_Aldaz [ ]
---------- CHICAGO ----------
Aldaz, M., Heintz, J., Matera, G., Montaña, J.L., Pardo, L.M. "Combinatorial hardness proofs for polynomial evaluation" . 23rd International Symposium on the Mathematical Foundations of Computer Science, MFCS 1998 1450 LNCS (1998) : 167-175.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03029743_v1450LNCS_n_p167_Aldaz [ ]
---------- MLA ----------
Aldaz, M., Heintz, J., Matera, G., Montaña, J.L., Pardo, L.M. "Combinatorial hardness proofs for polynomial evaluation" . 23rd International Symposium on the Mathematical Foundations of Computer Science, MFCS 1998, vol. 1450 LNCS, 1998, pp. 167-175.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03029743_v1450LNCS_n_p167_Aldaz [ ]
---------- VANCOUVER ----------
Aldaz, M., Heintz, J., Matera, G., Montaña, J.L., Pardo, L.M. Combinatorial hardness proofs for polynomial evaluation. Lect. Notes Comput. Sci. 1998;1450 LNCS:167-175.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03029743_v1450LNCS_n_p167_Aldaz [ ]