Results 21 to 30 of about 168,425,485 (295)

Matrix Diophantine equations over quadratic rings and their solutions

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2020
The method for solving the matrix Diophantine equations over quadratic rings is developed. On the basic of the standard form of matrices over quadratic rings with respect to $(z,k)$-equivalence previously established by the authors, the matrix ...
N.B. Ladzoryshyn   +2 more
doaj   +1 more source

On tau functions for orthogonal polynomials and matrix models. [PDF]

open access: yes, 2010
Let v be a real polynomial of even degree, and let \rho be the equilibrium probability measure for v with support S; to that v(x) greeater than or equal to \int 2log |x-y| \rho (dy) +C for some constant C with equality on S.
Gordon Blower, Blower, Gordon
core   +5 more sources

Solving ill-conditioned linear equations using simulated annealing method [PDF]

open access: yesJournal of Hyperstructures, 2018
The purpose of this paper is to using the Simulated Annealing method to solving a linear equations system which have an ill-conditioned coefficients matrix. A linear equation system is called ill-conditioned if its condition number be large.
Mojtaba Moradi
doaj   +1 more source

A New Analytic Solution Method for a Class of Generalized Riccati Differential Equations

open access: yesUniversal Journal of Mathematics and Applications, 2023
We give a useful and practicable solution method for the general Riccati differential equation of the form $w^{\prime }\left( x\right) =p\left( x\right) +q\left( x\right) w\left( x\right) +r\left( x\right) w^{2}\left( x\right) $.
Adil Mısır
doaj   +1 more source

Solution of Positive Periodic Discrete Lyapunov Equations with Applications to the Balancing of Periodic Systems. [PDF]

open access: yes, 1997
The discrete-time positive periodic Lyapunov equations have important applications in the balancing and potentially also in the model reduction of discrete-time periodic systems.
A. Varga, Varga, A., Andreas Varga
core   +1 more source

Interval fuzzy matrix equations [PDF]

open access: yes, 2017
summary:This paper deals with the solvability of interval matrix equations in fuzzy algebra. Fuzzy algebra is the algebraic structure in which the classical addition and multiplication are replaced by maximum and minimum, respectively.
Draženská, Emília   +3 more
core   +1 more source

The Reflexive and Anti-Reflexive Solutions of a Linear Matrix Equation and Systems of Matrix Equations

open access: yesRocky Mountain Journal of Mathematics, 2010
By using appropriate matrix decompositions, necessary and sufficient solvability conditions and explicit reflexive and anti-reflexive solutions for the following matrix equation: {\parindent9mm \begin{itemize}\item[(I)] \(A_1 XB_1 = D_1\), and systems of matrix equations: \item[(II)] \(A_1 X = C_1, XB_2 = C_2\), and \item[(III)] \(A_1 X = C_1, XB_2 ...
Dehghan, Mehdi, Hajarian, Masoud
openaire   +3 more sources

On the Iterative Method for the System of Nonlinear Matrix Equations [PDF]

open access: yesAbstract and Applied Analysis, 2013
Summary: The positive definite solutions for the system of nonlinear matrix equations \(X + A^\ast Y^{-n} A = I\), \(Y + B^\ast X^{-m} B = I\) are considered, where \(n\), \(m\) are two positive integers and \(A\), \(B\) are nonsingular complex matrices.
openaire   +3 more sources

The solution of the full matrix analogue of the generalized abel equation with constant coefficients

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
The system of generalized integral Abel equations in the matrix form with constant coefficients on the segment. Was considered at the terms of the integral Riemann-Liouville operators of matrix order.
Rina R Ismagilova
doaj   +3 more sources

The coordinate system transformation of a serial kinematic structures and use in the derivation of systems motion equations

open access: yesMATEC Web of Conferences, 2016
This text discusses the use of transformation matrices to determine the motion equations of the complex mechanical structure. Use of the transformation matrix does not apply only to motion equations but has the general use in relative positions determine
Zátopek Jiří
doaj   +1 more source

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