Results 31 to 40 of about 3,287,874 (300)
Spectral Forecast equation for matrices
, 2022 A more complex example that uses the spectral forecast equation is related to matrices. A question that can be asked this time would be: given two matrices A and B, what would a third matrix (M) look like if it must resemble both A and B in a certain ...
Paul A. Gagniuc (1818325)
core +1 more source
Discrete Tracy--Widom operators. [PDF]
, 2009 Integrable operators arise in random matrix theory, where they describe the asymptotic eigenvalue distribution of large self-adjoint random matrices from the generalized unitary ensembles.
McCafferty, Andrew, Blower, Gordon
core +2 more sources
Journal of Inequalities and Applications, 2016 In this paper, we present a direct method to solve the least-squares Hermitian problem of the complex matrix equation ( A X B , C X D ) = ( E , F ) $(AXB,CXD)=(E,F)$ with complex arbitrary coefficient matrices A, B, C, D and the right-hand side E, F ...
Peng Wang, Shifang Yuan, Xiangyun Xie
doaj +1 more source
Finite difference method application in design of foundation girder of variable cross-section loaded on ends [PDF]
Facta Universitatis. Series: Architecture and Civil Engineering, 2008 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]
Communications in Algebra, 2001 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
Reduction of the modified Poincaré differential equation to Birkhoff matrix form [PDF]
, 1963 summary:In this paper the reduction of the modified Poincaré linear differential equation with one $n$-tuple regular singularity to the Birkhoff canonical matrix form is ...
Risteski, Ice B., H. L. Turrittin
core +1 more source
Some non-commuting solutions of the Yang-Baxter-like matrix equation
Open Mathematics, 2020 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
doaj +1 more source
On A Matrix Hypergeometric Differential Equation
مجلة العلوم البحتة والتطبيقية, 2021 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
doaj +1 more source
Matrix iteration algorithms for solving the generalized Lyapunov matrix equation
Advances in Difference Equations, 2021 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
doaj +1 more source
Kronecker product of matrices and solutions of Sylvestertype matrix polynomial equations
Математичні СтудіїWe 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