Výsledky vyhledávání - "quaternionic matrices"

Perturbation analysis of matrices over a quaternion division algebra

Autor: Ivan Slapničar, Istkhar Ali, Sk. Safique Ahmad

In this paper, we present the concept of perturbation bounds for the right eigenvalues of a quaternionic matrix. In particular, a Bauer-Fike-type theorem for the right eigenvalues of a diagonalizable quaternionic matrix is derived. In addition, pertu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fbc92416babbfcf54d09ccc907467926
https://www.bib.irb.hr/1111331

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Мультипликативные композиции матриц, эквивалентных равным и сопряженным кватернионам

Publikováno v: Eastern-European Journal of Enterprise Technologies; Том 6, № 4 (42) (2009): МАТЕМАТИКА ТА КІБЕРНЕТИКА-ПРИКЛАДНІ АСПЕКТИ; 20-26
Eastern-European Journal of Enterprise Technologies; Том 6, № 4 (42) (2009): МАТЕМАТИКА И КИБЕРНЕТИКА-ПРИКЛАДНЫЕ АСПЕКТЫ; 20-26
Eastern-European Journal of Enterprise Technologies; Том 6, № 4 (42) (2009): MATHEMATICS AND CYBERNETICS-APPLIED ASPECTS; 20-26

The structure of output matrices is analyzed and symmetrical and skew-symmetrical parts are singled out. Matrices equivalent and not equivalent to quaternion are found. Rules of full, internal and external transposition are determined for multiplicat

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=scientific_p::37f27bd06331034488c0a607a26f4831
http://journals.uran.ua/eejet/article/view/216591

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Application of Quaternionic Matrices for Finite Turns’ Sequence Representation in Space

Autor: Victor Kravets, Tamila Kravets, Olexiy Burov

Publikováno v: Mechanics, Materials Science & Engineering, Vol 9, Iss 2, Pp 408-422 (2017)

With the use of mathematical apparatus of monomial (1,0,-1)-matrices-(4×4), the Rodrigues’ vector formula describing the finite turn, is represented with quaternionic matrices. Two ways to deduct the Rodrigues’ formula in quaternionic matrices a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doajarticles::a206184b2ad0d6dcb6494326c94a4926
https://mmse.xyz/en/application-of-quaternionic-matrices-for-finite-turns-sequence-representation-in-space/

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Identities of Vector Algebra as Associative Properties of Multiplicative Compositions of Quaternion Matrices

Autor: Victor Kravets, Tamila Kravets, Olexiy Burov

Publikováno v: Mechanics, Materials Science & Engineering, Vol 8, Iss 1, Pp 106-132 (2017)

This paper is dedicated to the further development of matrix calculation in the sphere of quaternionic matrices. Mathematical description of transfer (displacement) and turn (rotation) in space are fundamental for the mechanics of rigid body. The tra

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doajarticles::4174af8d4f1e2aa73e9ff42f7f3b25f0
https://mmse.xyz/en/identities-of-vector-algebra-as-associative-properties-of-multiplicative-compositions-of-quaternion-matrices/

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Elements of Calculus Quaternionic Matrices And Some Applications In Vector Algebra And Kinematics

Autor: Pivnyak G.G., Kravets V. V., Bas К. M., Kravets Т.V., Tokar L.A.

Publikováno v: Mechanics, Materials Science & Engineering, Vol 3, Iss 1, Pp 46-56 (2016)

Quaternionic matrices are proposed to develop mathematical models and perform computational experiments. New formulae for complex vector and scalar products matrix notation, formulae of first curvature, second curvature and orientation of true trihed

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doajarticles::1f61402a17e1de00b07db76ace6e131b
https://mmse.xyz/en/elements-of-calculus-quaternionic-matrices-and-some-applications-in-vector-algebra-and-kinematics/

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