Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Ivan Kyrchei"'
Solvability and algorithm for Sylvester-type quaternion matrix equations with potential applications
Publikováno v:
AIMS Mathematics, Vol 9, Iss 8, Pp 19967-19996 (2024)
This article explores Sylvester quaternion matrix equations and potential applications, which are important in fields such as control theory, graphics, sensitivity analysis, and three-dimensional rotations. Recognizing that the determination of solut
Externí odkaz:
https://doaj.org/article/adf336dde2da4454bf5a7eaa2cc9d8ca
Publikováno v:
Abstract and Applied Analysis, Vol 2019 (2019)
We constitute some necessary and sufficient conditions for the system A1X1=C1, X1B1=C2, A2X2=C3, X2B2=C4, A3X1B3+A4X2B4=Cc, to have a solution over the quaternion skew field in this paper. A novel expression of general solution to this system is also
Externí odkaz:
https://doaj.org/article/b0bc3303da5f4c97b7a6704683489619
Autor:
Ivan Kyrchei
Linear algebra is the branch of mathematics concerning vector spaces and linear mappings between such spaces. Systems of linear equations with several unknowns are naturally represented using the formalism of matrices and vectors. So we arrive at the
Autor:
Ivan Kyrchei
Publikováno v:
Matrix Theory-Classics and Advances
Matrix Theory-Classics and Advances ISBN: 9781803558226
Matrix Theory-Classics and Advances ISBN: 9781803558226
A generalized inverse of a matrix is an inverse in some sense for a wider class of matrices than invertible matrices. Generalized inverses exist for an arbitrary matrix and coincide with a regular inverse for invertible matrices. The most famous gene
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b4f9fe9ff408d85cb01a0ee9a2c2c1e
https://mts.intechopen.com/articles/show/title/quaternion-mpcep-cepmp-and-mpcepmp-generalized-inverses
https://mts.intechopen.com/articles/show/title/quaternion-mpcep-cepmp-and-mpcepmp-generalized-inverses
Publikováno v:
Iranian Journal of Science and Technology, Transactions A: Science. 45:1015-1024
Generalized Sylvester quaternion matrix equation with some constrictions is explored in this paper. A novel expression of the general solution of the constraint system is given with some necessary and sufficient conditions. Its Cramer’s rule is der
Publikováno v:
Journal of Applied Mathematics and Computing. 67:101-130
Our contribution is the development of novel representations and investigations of main properties of the MPCEP inverse. Precisely, we present representations of the MPCEP inverse which involve appropriate Moore–Penrose inverses, projections and fu
Publikováno v:
Filomat. 34:2601-2627
Some necessary and sufficient conditions for the existence of the ?-skew-Hermitian solution quaternion matrix equations the system of matrix equations with ?-skew-Hermicity, A1X = C1, XB1 = C2, A2Y = C3, YB2 = C4, X = -X?*; Y=-Y?*, A3XA?*3 + B3YB?*3=
Publikováno v:
Computational and Applied Mathematics. 40
We consider the solvability of four new restricted quaternion matrix equations (QME) and prove that these equations have the unique solutions determined by adequate MPD and DMP inverses. Several particular cases of these equations are presented too.
Publikováno v:
Advances in Applied Clifford Algebras. 31
We introduce three kinds of new weighted quaternion-matrix minimization problems in order to extend some well-known constrained approximation problems. The main result is the claim that these new minimization problems have unique solutions which are