Zobrazeno 1 - 10
of 68
pro vyhledávání: '"Emilio Defez"'
Publikováno v:
Algorithms, Vol 16, Iss 9, p 434 (2023)
The matrix logarithm function has applicability in many engineering and science fields. Improvements in its calculation, from the point of view of both accuracy and/or execution time, have a direct impact on these disciplines. This paper describes a
Externí odkaz:
https://doaj.org/article/d84d00424d6d4d6e96552ce2bd36330c
Publikováno v:
Mathematics, Vol 11, Iss 3, p 520 (2023)
This paper presents three different alternatives to evaluate the matrix hyperbolic cosine using Bernoulli matrix polynomials, comparing them from the point of view of accuracy and computational complexity. The first two alternatives are derived from
Externí odkaz:
https://doaj.org/article/41ce0e9e94344910b20a44dec5e70448
Publikováno v:
Mathematics, Vol 10, Iss 16, p 2826 (2022)
Differential matrix models provide an elementary blueprint for the adequate and efficient treatment of many important applications in science and engineering. In the present work, we suggest a procedure, extending our previous research results, to re
Externí odkaz:
https://doaj.org/article/cd9504f374554c77849c244fcda95e97
Publikováno v:
Algorithms, Vol 15, Iss 2, p 48 (2022)
The action of the matrix exponential on a vector eAtv, A∈Cn×n, v∈Cn, appears in problems that arise in mathematics, physics, and engineering, such as the solution of systems of linear ordinary differential equations with constant coefficients. N
Externí odkaz:
https://doaj.org/article/100d8d583def4dfe84a698f60a89cb67
Publikováno v:
Mathematics, Vol 9, Iss 18, p 2262 (2021)
Matrix differential equations are at the heart of many science and engineering problems. In this paper, a procedure based on higher-order matrix splines is proposed to provide the approximated numerical solution of special nonlinear third-order matri
Externí odkaz:
https://doaj.org/article/1fadd48be28c41dba892496443c7aa29
Publikováno v:
Mathematics, Vol 9, Iss 17, p 2018 (2021)
The most popular method for computing the matrix logarithm is a combination of the inverse scaling and squaring method in conjunction with a Padé approximation, sometimes accompanied by the Schur decomposition. In this work, we present a Taylor seri
Externí odkaz:
https://doaj.org/article/a94c6fc97ebc432ca720689957cbaf4d
Publikováno v:
Mathematics, Vol 9, Iss 11, p 1219 (2021)
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 Taylor series. For this second app
Externí odkaz:
https://doaj.org/article/a3358c6659b54c6abf4594d2833fdcd4
Publikováno v:
Mathematics, Vol 7, Iss 12, p 1137 (2019)
Matrix exponentials are widely used to efficiently tackle systems of linear differential equations. To be able to solve systems of fractional differential equations, the Caputo matrix exponential of the index α > 0 was introduced. It generalizes and
Externí odkaz:
https://doaj.org/article/008dfd6339a142ccbc8bc99cf5013099
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
An exact series solution for nonhomogeneous parabolic coupled systems of the type ut-Auxx=Gx, t, A1u0, t+B1ux0, t=0, A2ul, t+B2uxl, t=0, 00, ux, 0=fx, where A1, A2, B1, and B2 are arbitrary matrices for which the block matrix is nonsingular, and A is
Externí odkaz:
https://doaj.org/article/e9f7130a0d0446fc9328cf37795a0472
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
This paper continues with the construction of the exact solution for parabolic coupled systems of the type ut=Auxx, A1u(0,t)+B1ux(0,t)=0, A2u(l,t)+B2ux(l,t)=0, 00, and u(x,0)=f(x), where A1, A2, B1, and B2 are arbitrary matrices for which the block m
Externí odkaz:
https://doaj.org/article/63e09f6833af4c67b1ecf2ff16b9ceb5