Results 31 to 40 of about 3,138,968 (195)
Finite difference method application in design of foundation girder of variable cross-section loaded on ends [PDF]
Deflection of foundation girder supported by the deformable base has been defined by the system of differential equations, where the differential equation of the elastic line of the girder is of the fourth order.
Prolović Verka, Bonić Zoran
doaj +1 more source
PENTAGON EQUATION AND MATRIX BIALGEBRAS [PDF]
We classify coproducts on matrix algebra in terms of solutions to some modification of pentagon equation. The construction of Baaj and Skandalis describing finite dimensional unitary solutions of pentagon equation is extended to the non-unitary case. We establish the relation between Hopf-Galois algebras and solutions to modified pentagon equation.
openaire +3 more sources
matrix-toolbox/CHM_CATALOG: v2.2.0
Sinkhorn matrices, symmetric and Hermitian ...
matrix-toolbox
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Some non-commuting solutions of the Yang-Baxter-like matrix equation
Let A be a square matrix satisfying A4=A{A}^{4}=A. We solve the Yang-Baxter-like matrix equation AXA=XAXAXA=XAX to find some solutions, based on analysis of the characteristic polynomial of A and its eigenvalues. We divide the problem into small cases so
Zhou Duan-Mei, Vu Hong-Quang
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On A Matrix Hypergeometric Differential Equation
In this paper we consider a matrix Hypergeometric differential equation, which are special matrix functions and solution of a specific second order linear differential equation.
Salah Hamd +2 more
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Matrix iteration algorithms for solving the generalized Lyapunov matrix equation
In this paper, we first recall some well-known results on the solvability of the generalized Lyapunov equation and rewrite this equation into the generalized Stein equation by using Cayley transformation.
Juan Zhang, Huihui Kang, Shifeng Li
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On the solvability of an equation involving the Smarandache function and Euler function [PDF]
In this paper, authors use the properties and the curve figure of two functions to study the solvability of an ...
Duany, Weiguo, Xue, Yanrong
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Kronecker product of matrices and solutions of Sylvestertype matrix polynomial equations
We investigate the solutions of the Sylvester-type matrix polynomial equation $$A(\lambda)X(\lambda)+Y(\lambda)B(\lambda)=C(\lambda),$$ where\ $A(\lambda),$ \ $ B(\lambda),$\ and \ $C(\lambda)$ are the polynomial matrices with elements in a ring of ...
N. S. Dzhaliuk, V. M. Petrychkovych
doaj +1 more source
On matrix equivalence and matrix equations
AbstractRoth's theorem on the solvability of matrix equations of the form AX−YB=C is proved for matrices with coefficients from a division ring or a ring which is module-finite over its center.
Gustafson, William H. +1 more
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