Sentence examples for matrix equation is from inspiring English sources

Detailed derivation of a generalized matrix equation is given.

In numerical interconversion, the resulting matrix equation is ill-posed.

Based on these sufficient conditions, the solution of this constrained linear matrix equation is obtained.

Especially, when a symmetric Sinc-Galerkin method is used, the resulting matrix equation is a discrete ADI model problem.

Using the energy functional, the matrix equation is obtained and solved for natural frequencies and associated mode shapes.

The numerical solution obtained by the MFS is accurate, while the corresponding matrix equation is ill-conditioned.

Based on these presented results, explicit solutions to the normal Sylvester equation and the well-known Lyapunov matrix equation are also established.

To model analytically the natural modes of damped flexural vibration of the circular plate, a diagonal matrix equation was derived from Mindlin's equations for thick plates.

In general, 2-D FEM calculations, i.e., solutions of a matrix equation are obtained in terms of either electric or magnetic fields, which correspond to TE and TM mode solutions, respectively.

Also, an application to matrix equations is given.

Furthermore, a thorough study of properties about this class of matrix equations is provided.