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Listar por palabra clave "Matrix polynomial evaluation"

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Listar por palabra clave "Matrix polynomial evaluation"

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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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    Efficient Evaluation of Matrix Polynomials beyond the Paterson-Stockmeyer Method 
    Sastre, Jorge; Ibáñez González, Jacinto Javier (MDPI AG, 2021-07)
    [EN] Recently, two general methods for evaluating matrix polynomials requiring one matrix product less than the Paterson-Stockmeyer method were proposed, where the cost of evaluating a matrix polynomial is given asymptotically ...
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    Efficient orthogonal matrix polynomial based method for computing matrix exponential 
    Sastre, Jorge; Ibáñez González, Jacinto Javier; Defez Candel, Emilio; Ruiz Martínez, Pedro Antonio (Elsevier, 2011-03-15)
    The matrix exponential plays a fundamental role in the solution of differential systems which appear in different science fields. This paper presents an efficient method for computing matrix exponentials based on Hermite ...