Sentence examples for matrix equation with from inspiring English sources

Solving the last matrix equation with the direct integration method gives the dynamic responses of the fluid-conveying pipe.

These schemes allow us to simplify the calculations, and matrix equation with only one matrix is sufficient for calculations.

The PIA is introduced to evaluate the first-order ordinary differential matrix equation with specified two-end boundary conditions.

In this paper, two types of recurrent neural network (RNN) are comparatively developed and exploited for the online solution of the well-known Lyapunov matrix equation with the stationary and nonstationary coefficients.

Based on the time development equation of the density matrix [19] with differential motion equations and assuming appropriate boundary conditions, the below matrix equation with the following matrices can be obtained: R ˙ = - MR + A, Open image in new window (7).

There is a one-to-one correspondence between mod 2 circulant matrices of size n × n, and binary polynomials mod x n + 1: Replace the unit circulant matrix C in the matrix equation with x, and replace the matrix operations with their polynomial counterparts.

Wu et al. [10] gave the finite iterative solutions to a class of complex matrix equations with conjugate and transpose of the unknowns.

Because (A^{ i,ldots,j }) and (B^{ i,ldots,j }) are not necessarily unique, (1.4 - 1.7) are four nonlinear matrix equations with respect to (A^{ i,ldots,j }) and (B^{ i,ldots,j }).

Because the reverse-order products (B^{ i,ldots,j }A^{ i,ldots,j }) are usually not unique and can be written as linear or nonlinear matrix-valued functions with one or more variable matrices, the reverse-order laws are in fact linear or nonlinear matrix equations with multiple variable matrices.

Computer simulation results further demonstrate the superior performance of the ZNN model in solving the time-varying linear matrix equation compared with the conventional GNN model.

An explicit solution to the generalized Sylvester matrix equation AX−EXF= BY, with the matrix F being a companion matrix, is given.