Sentence examples for matrix equation for from inspiring English sources

Based on the ellipse eccentricity, the ellipse matrix equation for non-equidistant systems has been constructed.

By modifying the polynomial matrix equation for the filter in the regular case, a new simple polynomial matrix equation for a reduced order H∞ filter in the case of partially perfect measurements is obtained.

A matrix equation for solving the system resonance frequencies and loss factors is obtained by using the Rayleigh-Ritz method.

Furthermore, when (1.2) is written as a matrix equation (for details, see Section 5), its associated abstract Cauchy problem has the following form: (1.3).

Consequently, substituting (3.5) in equation (3.4), yields the fundamental matrix equation for problem (3.1), ∑ k = 1 n ( Q k F D k ) A = G, n ≤ N, (3.6).

From the ABdC-N scheme (4), the matrix equation for calculating the value of the (k+1 th time layer is begin{aligned} (E+D_{1}G V^{k+1}= E-D_{2}G V^{k}+g^{k}/2.

Formulation of the matrix equations for the stiffness method is done routinely and the solution procedure is systematic.

To reduce primary dependent variables (PDVs), Gauss-Jordan decomposition is applied to the governing matrix equations for transport, resulting in mobile components and mobile kinetic variables as PDVs.

The latter results from solving the matrix equations for q 3 in terms of the heating rate difference (q 1 − q 2).

The proposed method is based on the statistical analysis of an augmented measurement prediction error leading to a system of linear matrix equations for the elements of the noise covariance matrices.

Least-squares-based iterative algorithms are very important in system identification, parameter estimation, and signal processing, including the recursive least squares (RLS) and iterative least squares (ILS) methods for solving the solutions of some matrix equations, for example, the Lyapunov matrix equation, Sylvester matrix equations, and coupled matrix equations as well.