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Listar por palabra clave "Taylor series"

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Listar por palabra clave "Taylor series"

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    A new efficient and accurate spline algorithm for the matrix exponential computation 
    Defez Candel, Emilio; Ibáñez González, Jacinto Javier; Sastre, Jorge; Peinado Pinilla, Jesús; Alonso-Jordá, Pedro (Elsevier, 2018)
    [EN] In this work an accurate and efficient method based on matrix splines for computing matrix exponential is given. An algorithm and a MATLAB implementation have been developed and compared with the state-of-the-art ...
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    Accurate and efficient matrix exponential computation 
    Sastre, Jorge; Ibáñez González, Jacinto Javier; Ruiz Martínez, Pedro Antonio; Defez Candel, Emilio (Taylor & Francis (Routledge): STM, Behavioural Science and Public Health Titles, 2014-01)
    [EN] This work gives a new formula for the forward relative error of matrix exponential Taylor approximation and proposes new bounds for it depending on the matrix size and the Taylor approximation order, providing a new ...
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    Accurate matrix exponential computation to solve coupled differential models in engineering 
    Sastre, Jorge; Ibáñez González, Jacinto Javier; Defez Candel, Emilio; Ruiz Martínez, Pedro Antonio (Elsevier, 2011-10)
    The matrix exponential plays a fundamental role in linear systems arising in engineering, mechanics and control theory. This work presents a new scaling-squaring algorithm for matrix exponential computation. It uses forward ...
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    Advances in the Approximation of the Matrix Hyperbolic Tangent 
    Ibáñez González, Jacinto Javier; Alonso Abalos, José Miguel; Sastre, Jorge; Defez Candel, Emilio; Alonso-Jordá, Pedro (MDPI AG, 2021-06)
    [EN] In this paper, we introduce two approaches to compute the matrix hyperbolic tangent. While one of them is based on its own definition and uses the matrix exponential, the other one is focused on the expansion of its ...
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    An Improved Taylor Algorithm for Computing the Matrix Logarithm 
    Ibáñez González, Jacinto Javier; Sastre, Jorge; Ruíz Martínez, Pedro Antonio; Alonso Abalos, José Miguel; Defez Candel, Emilio (MDPI AG, 2021-09)
    [EN] The most popular method for computing the matrix logarithm is a combination of the inverse scaling and squaring method in conjunction with a Pade approximation, sometimes accompanied by the Schur decomposition. In ...
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    Boosting the computation of the matrix exponential 
    Sastre, Jorge; Ibáñez González, Jacinto Javier; Defez Candel, Emilio (Elsevier, 2019-01-01)
    [EN] This paper presents new Taylor algorithms for the computation of the matrix exponential based on recent new matrix polynomial evaluation methods. Those methods are more efficient than the well known Paterson-Stockmeyer ...
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    Computing the matrix sine and cosine simultaneously with a reduced number of products 
    Seydaoglu, Muaz; Bader, Philipp; Blanes Zamora, Sergio; Casas, Fernando (Elsevier, 2021-05)
    [EN] A new procedure is presented for computing the matrix cosine and sine simultaneously by means of Taylor polynomial approximations. These are factorized so as to reduce the number of matrix products involved. Two ...
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    Efficient and accurate algorithms for computing matrix trigonometric functions 
    Alonso-Jordá, Pedro; Ibáñez González, Jacinto Javier; Sastre Martinez, Jorge; Peinado Pinilla, Jesús; Defez Candel, Emilio (Elsevier, 2017-01)
    [EN] Trigonometric matrix functions play a fundamental role in second order differential equations. This work presents an algorithm based on Taylor series for computing the matrix cosine. It uses a backward error analysis ...
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    Efficient computation of the matrix cosine 
    Sastre, Jorge; Ibáñez González, Jacinto Javier; Ruiz Martínez, Pedro Antonio; Defez Candel, Emilio (Elsevier, 2013-03-15)
    Trigonometric matrix functions play a fundamental role in second order differential equation systems. This work presents an algorithm for computing the cosine matrix function based on Taylor series and the cosine double ...
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    High performance computing of the matrix exponential 
    Ruiz Martínez, Pedro Antonio; Sastre Martinez, Jorge; Ibáñez González, Jacinto Javier; Defez Candel, Emilio (Elsevier, 2016-01)
    This work presents a new algorithm for matrix exponential computation that significantly simplifies a Taylor scaling and squaring algorithm presented previously by the authors, preserving accuracy. A Matlab version of the ...
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    New scaling-squaring Taylor algorithms for computing the matrix exponential 
    Sastre, Jorge; Ibáñez González, Jacinto Javier; Defez Candel, Emilio; Ruiz Martínez, Pedro Antonio (Society for Industrial and Applied Mathematics, 2015)
    The matrix exponential plays a fundamental role in linear differential equations arising in engineering, mechanics, and control theory. The most widely used, and the most generally efficient, technique for calculating ...
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    Teaching with emerging technologies in a STEM university math class 
    Andrà, Chiara; Bernardi, Giulia; Brunetto, Domenico (Editorial Universitat Politècnica de València, 2019-07-05)
    [EN] The aim of the research presented in this work is to investigate how innovative teaching formats, based on student-centred activities, may help first year university students to deal with the difficulties in the ...
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    Two Taylor Algorithms for Computing the Action of the Matrix Exponential on a Vector 
    Ibáñez González, Jacinto Javier; Alonso Abalos, José Miguel; Alonso-Jordá, Pedro; Defez Candel, Emilio; Sastre, Jorge (MDPI AG, 2022-01-28)