Results 21 to 30 of about 168,425,485 (295)
Matrix Diophantine equations over quadratic rings and their solutions
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
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On tau functions for orthogonal polynomials and matrix models. [PDF]
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
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Solving ill-conditioned linear equations using simulated annealing method [PDF]
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
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A New Analytic Solution Method for a Class of Generalized Riccati Differential Equations
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
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Solution of Positive Periodic Discrete Lyapunov Equations with Applications to the Balancing of Periodic Systems. [PDF]
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
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Interval fuzzy matrix equations [PDF]
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
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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
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On the Iterative Method for the System of Nonlinear Matrix Equations [PDF]
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.
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The solution of the full matrix analogue of the generalized abel equation with constant coefficients
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
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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
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