Sentence examples for by solving linear equation from inspiring English sources
Since the energy function in (18) is quadratic and convex, its optimality condition is obtained by solving linear equation as left(1+lambda_{3}+lambda_{1} nabla^{T} nablaright)f_{L}=frac{g}{f_{R}}+lambda_{3}hat{g}_{b}.
It is found that if the input polynomials have a trivial GCRD, then the method for computing LCLMs by solving linear equations has a very good performance.
The displacement vector of a moving object is estimated by solving linear equations involving third-order hologram and the matrix containing Dirac delta function.
The motion vector of a moving object is estimated by solving linear equations involving third-order hologram and the matrix containing Dirac delta function.
A desired canonical controller can be obtained by solving linear algebraic equations which consist of a data and a specification.
The learning controller is synthesized by solving Linear Matrix Inequality (LMI) equations to ensure the stability and monotonic convergence of the control algorithm.
Individual rate constants are then calculated by solving linear or non-linear algebraic equations.
Due to the fact that the characteristic quasi-polynomial of a delayed system is difficult to analyze when uncertain parameters are involved, this problem has been most frequently solved on the basis of the method of Lyapunov functional, by solving Riccati equations, or by solving linear matrix inequalities.
The current control is obtained by successively solving linear algebraic equations transferred from the original problem via linearization and the Gauss Pseudospectral method.
We begin by showing that for an arbitrary flux function, one can put conditions on the time step in order to preserve positivity by solving a linear equation for density fluxes and a quadratic equation for energy fluxes.
By solving the linear equation (8) we get the following representation of (Y^{s}): Y^{s}(n)=L^{n}Y^{s}(0)+mathcal {V}^{s}(n)+mathcal {H}^{s}(n+1), quad ninmathbf {N}, (9) which allows us to get a conclusion about the asymptotic behaviour of (Y^{s}(n)) based on the limits of each term in the right-hand side of (9).
