Výsledky vyhledávání - "M. Irene Falcão"

The number of zeros of unilateral polynomials over coquaternions revisited

Autor: M. Irene Falcão, Ricardo Severino, M. Joana Soares, Fernando Miranda

Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP

The literature on quaternionic polynomials and, in particular, on methods for finding and classifying their zero sets, is fast developing and reveals a growing interest in this subject. In contrast, polynomials defined over the algebra of coquaternio

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::120a94a920b85c01feef813370eb0d45
https://doi.org/10.1080/03081087.2018.1450828

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On generalized Vietoris’ number sequences

Autor: Isabel Cação, M. Irene Falcão, Helmuth R. Malonek

Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP

Recently, by using methods of hypercomplex function theory, the authors have shown that a certain sequence S of rational numbers (Vietoris’ sequence) combines seemingly disperse subjects in real, complex and hypercomplex analysis. This sequence app

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f520a292e230ee6601c2d92aba39c68c
https://hdl.handle.net/1822/62821

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Harmonic Analysis and hypercomplex function theory in co-dimension one

Autor: Isabel Cação, M. Irene Falcão, Graça Tomaz, Helmuth R. Malonek

Publikováno v: Springer Proceedings in Mathematics & Statistics ISBN: 9783030267476

Fundamentals of a function theory in co-dimension one for Clifford algebra valued functions over ℝn+1 are considered. Special attention is given to their origins in analytic properties of holomorphic functions of one and, by some duality reasons, a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::49251d27e7c948a118e99beff6aaddc1
http://hdl.handle.net/10773/28896

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Correction to: On the Roots of Coquaternions

Autor: Ricardo Severino, M. Irene Falcão, M. Joana Soares, Fernando Miranda

Publikováno v: Advances in Applied Clifford Algebras. 29

Unfortunately, the reference Pogoruy [1] has been published with the incorrect Journal’s name.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c07231728eb991de142e06064fb7b839
https://doi.org/10.1007/s00006-018-0920-5

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On the roots of coquaternions

Autor: Fernando Miranda, M. Joana Soares, M. Irene Falcão, Ricardo Severino

Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP

In this paper we give a complete characterization of the nth roots of a coquaternion q. In particular, we show that the number and type of roots-isolated and/or hyperboloidal-depend on the nature of q, on the parity of n and (eventually) on the sign

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0c8fd598129db3323450f7a2d544caa5
https://hdl.handle.net/1822/59326

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Mathematica Tools for Quaternionic Polynomials

Autor: M. Joana Soares, M. Irene Falcão, Fernando Miranda, Ricardo Severino

Publikováno v: Computational Science and Its Applications – ICCSA 2017 ISBN: 9783319623948
ICCSA (2)

In this paper we revisit the ring of (left) one-sided quaternionic polynomials with special focus on its zero structure. This area of research has attracted the attention of several authors and therefore it is natural to develop computational tools f

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b076561cece8291c29fbf5a6b3c942c7
https://doi.org/10.1007/978-3-319-62395-5_27

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Weierstrass method for quaternionic polynomial root-finding

Autor: M. Irene Falcão, Fernando Miranda, M. Joana Soares, Ricardo Severino

Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP

Quaternions, introduced by Hamilton in 1843 as a generalization of complex numbers, have found, in more recent years, a wealth of applications in a number of different areas that motivated the design of efficient methods for numerically approximating

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::55cc211110a6ae0afb79d6cb5784f2be

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Basins of attraction for a quadratic coquaternionic map

Autor: M. Irene Falcão, M. Joana Soares, Ricardo Severino, Fernando Miranda

Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP

In this paper we consider the extension, to the algebra of coquaternions, of a complex quadratic map with a real super-attractive 8-cycle. We establish that, in addition to the real cycle, this new map has sets of non-isolated periodic points of peri

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::07ef1d55325bcd82ba9f5a328b277c3d

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Modified Quaternion Newton Methods

Autor: M. Irene Falcão, Fernando Miranda

Publikováno v: Computational Science and Its Applications – ICCSA 2014 ISBN: 9783319091433
ICCSA (1)

We revisit the quaternion Newton method for computing roots of a class of quaternion valued functions and propose modified algorithms for finding multiple roots of simple polynomials. We illustrate the performance of these new methods by presenting s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e20ee0238867d3caa0e46284c8424bd6
https://doi.org/10.1007/978-3-319-09144-0_11

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