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Dive into the research topics where Gema María Díaz Toca is active.

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Featured researches published by Gema María Díaz Toca.


Applicable Algebra in Engineering, Communication and Computing | 2006

The Berlekamp-Massey Algorithm revisited

Nadia Ben Atti; Gema María Díaz Toca; Henri Lombardi

We propose a slight modification of the Berlekamp-Massey Algorithm for obtaining the minimal polynomial of a given linearly recurrent sequence. Such a modification enables to explain it in a simpler way and to adapt it to lazy evaluation.


Applicable Algebra in Engineering, Communication and Computing | 2004

Various New Expressions for Subresultants and Their Applications

Gema María Díaz Toca; Laureano González Vega

Abstract.This article is devoted to presenting new expressions for Subresultant Polynomials, written in terms of some minors of matrices different from the Sylvester matrix. Moreover, via these expressions, we provide new proofs for formulas which associate the Subresultant polynomials and the roots of the two polynomials. By one hand, we present a new proof for the formula introduced by J. J. Sylvester in 1839, formula written in terms of a single sum over the roots. By other hand, we introduce a new expression in terms of the roots by considering the Newton basis.


Linear Algebra and its Applications | 2006

Block diagonalization and LU-equivalence of Hankel matrices

Nadia Ben Atti; Gema María Díaz Toca


International Journal of Algebra and Computation | 2018

The square-freeness of the offset equation to a rational planar curve, computed via resultants

Juan Gerardo Alcázar; Jorge Caravantes; Gema María Díaz Toca


XV Encuentro de Álgebra computacional y aplicaciones: EACA 2016, 2016, ISBN 978-84-608-9024-9, págs. 83-86 | 2016

A pseudo-matrix approach to Prüfer domains

Gema María Díaz Toca; Henri Lombardi


XV Encuentro de Álgebra computacional y aplicaciones: EACA 2016, 2016, ISBN 978-84-608-9024-9, págs. 63-66 | 2016

A GCD algorithm by values

Jorge Caravantes; Gema María Díaz Toca; Henri Lombardi


Encuentros de Algebra Computacional y aplicaciones: Barcelona 2014, 2014, ISBN 978-84-697-0651-0, págs. 49-52 | 2014

The confluent Bezout matrix

Dhavide A. Aruliah; Robert M. Corless; Gema María Díaz Toca; Laureano González Vega; Azar Shakoori


Linear Algebra and its Applications | 2011

A polynomial bound on the number of comaximal localizations needed in order to make free a projective module

Gema María Díaz Toca; Henri Lombardi


Contribuciones científicas en honor de Mirian Andrés Gómez, 2010, ISBN 978-84-96487-50-5, págs. 231-241 | 2010

LU equivalence and signatures of Bezoutians and Hankel matrices

Gema María Díaz Toca; Nadia Ben Atti


Actas del EACA-2002: Octavo Encuentro de Álgebra Computacional y Aplicaciones, Peñaranda de Duero, 11-13 septiembre de 2002, 2002, págs. 151-154 | 2002

Una aproximación matricial a la Teoría de las Subresultantes

Laureano González Vega; Gema María Díaz Toca

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Henri Lombardi

University of Franche-Comté

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Nadia Ben Atti

University of Franche-Comté

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Jorge Caravantes

Complutense University of Madrid

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Dhavide A. Aruliah

University of Ontario Institute of Technology

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Robert M. Corless

University of Western Ontario

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