Sentence examples for matrix equations for from inspiring English sources

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.

Sub-system matrix equations for the two sub-plates are extracted by applying the simply supported boundary condition to the edges of each sub-plate (excepting the common interface of the two sub-plates).

Starting from the dynamic stiffness matrix of a single multi-coupled periodic element, it derives matrix equations for the magnitudes of the characteristic free waves excited in the whole structure by prescribed harmonic forces and/or displacements acting at a single periodic junction.

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.

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).

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).