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Mostrando ítems 1-4 de 4

An efficient algorithm to compute the exponential of skew-Hermitian matrices for the time integration of the Schrodinger equation

Bader, Philipp; Blanes Zamora, Sergio; Casas, Fernando; Seydaoglu, Muaz (Elsevier, 2022-04)

[EN] We present a practical algorithm to approximate the exponential of skew-Hermitian matrices up to round-off error based on an efficient computation of Chebyshev polynomials of matrices and the corresponding error ...
Application of Laguerre matrix polynomials to the numerical inversion of Laplace transforms of matrix functions

Sastre, Jorge; Defez Candel, Emilio; Jódar Sánchez, Lucas Antonio (Elsevier, 2011-09)

This paper presents an application of Laguerre matrix polynomial series to the numerical inversion of Laplace transforms of matrix functions. © 2011 Elsevier Ltd. All rights reserved.
Computing the Matrix Exponential with an Optimized Taylor Polynomial Approximation

Bader, Philipp; Blanes Zamora, Sergio; Casas, Fernando (MDPI AG, 2019-12)

[EN] A new way to compute the Taylor polynomial of a matrix exponential is presented which reduces the number of matrix multiplications in comparison with the de-facto standard Paterson-Stockmeyer method for polynomial ...
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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