Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Amirhossein Amiraslani"'
Publikováno v:
Mathematics and Computers in Simulation. 190:231-245
The purpose of this paper is to derive cubature formulas using bivariate degree-graded alternative shifted Jacobi polynomials and present some of their applications through a method for fast and explicit construction of operational integration matric
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5e71cbc92f8276a8748c92fe7592e49a
https://doi.org/10.1016/j.matcom.2021.05.002
https://doi.org/10.1016/j.matcom.2021.05.002
Publikováno v:
Iranian Journal of Science and Technology, Transactions A: Science. 44:1125-1129
In this paper, we calculate the characters of two classes of P-polynomial table algebras. To this end, we apply some linear algebra methods and tridiagonal matrices to obtain the characters of these table algebras.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ac5684bc86807dbb7933888111475d58
https://doi.org/10.1007/s40995-020-00924-1
https://doi.org/10.1007/s40995-020-00924-1
Publikováno v:
Mathematical Sciences. 14:147-157
Nowadays, certain problems in automata theory, manufacturing systems, telecommunication networks, parallel processing systems and traffic control are intimately linked with linear systems over tropical semirings. Due to non-invertibility of matrices
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::11c3e5673d55d24fcc52e491acfe7af9
https://doi.org/10.1007/s40096-020-00325-w
https://doi.org/10.1007/s40096-020-00325-w
Publikováno v:
Mathematical Sciences. 14:137-146
In this paper, we discuss and analyze methods for solving a system of linear equations over idempotent semifields. The first method is based on the pseudo-inverse of the system matrix. We then go over a specific version of Cramer’s rule which is al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::485db6a520394de0d7c054faf49b41dd
https://doi.org/10.1007/s40096-020-00324-x
https://doi.org/10.1007/s40096-020-00324-x
Publikováno v:
Banach Journal of Mathematical Analysis. 16
This work describes a matrix representation approach for efficient and explicit construction of generic well-conditioned matrix integration operators in terms of degree-graded and non-degree-graded polynomial bases. The main advantage of having an ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c8500fefb67b2ce46b64395ced9470a4
https://doi.org/10.1007/s43037-021-00156-4
https://doi.org/10.1007/s43037-021-00156-4
Publikováno v:
Numerical Algorithms. 83:1-31
Differentiation matrices are in wide use in numerical algorithms, although usually studied in an ad hoc manner. We collect here in this review paper elementary properties of differentiation matrices for univariate polynomials expressed in various bas
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ef1d9e8a55f41bbba369905896f920f9
https://doi.org/10.1007/s11075-019-00668-z
https://doi.org/10.1007/s11075-019-00668-z
Publikováno v:
Rendiconti del Circolo Matematico di Palermo Series 2.
In this paper, we introduce and analyze a new LU-factorization technique for square matrices over idempotent semifields. In particular, more emphasis is put on “max-plus” algebra here but the work is extended to other idempotent semifields as wel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2a2aa3e864e215d39816d4531d67362d
https://doi.org/10.1007/s12215-020-00529-y
https://doi.org/10.1007/s12215-020-00529-y
Publikováno v:
Journal of Algebra and Its Applications. 20:2150159
In this paper, we introduce and analyze a normalization method for solving a system of linear equations over tropical semirings. We use a normalization method to construct an associated normalized matrix, which gives a technique for solving the syste
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::648fed1e226e125dde106013df7e30ff
https://doi.org/10.1142/s0219498821501590
https://doi.org/10.1142/s0219498821501590
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783319499826
The Birkhoff interpolation problem is an extension of the well-known Lagrange and Hermite interpolation problems. We propose a new set of basis polynomials for representing the Birkhoff interpolation polynomial . The proposed basis extends the defini
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::370519eeb433281fac4d7371907dd871
https://doi.org/10.1007/978-3-319-49984-0_1
https://doi.org/10.1007/978-3-319-49984-0_1
Autor:
Amirhossein Amiraslani
Publikováno v:
Linear and Multilinear Algebra. 59:1419-1431
Scalar polynomials as approximations to more general scalar functions lead to the study of scalar polynomials represented in a variety of classical systems of polynomials, including orthogonal systems and Lagrange polynomials, for example. This artic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::71d64304c6d4cb3a398b1e99c11bd596
https://doi.org/10.1080/03081087.2011.558844
https://doi.org/10.1080/03081087.2011.558844