Elements of Calculus Quaternionic Matrices And Some Applications In Vector Algebra And Kinematics
Journal: Mechanics, Materials Science & Engineering Journal (Vol.3, No. 1)Publication Date: 2016-03-11
Authors : Pivnyak G.G.; Kravets V. V.; Bas К. M.; Kravets Т.V.; Tokar L.A.;
Page : 1-1
Keywords : quaternionic matrices; monomial matrices; quaternion group; four-dimensional orthonormal basis; complex vector and scalar products; first curvature; second curvature; spiral-screw trajectory;
Abstract
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 trihedron tracing are demonstrated in this paper. Application of quaternionic matrices for a problem of airspace transport system trajectory selection is shown.
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