Discover a novel method for solving linear equations using direct decomposition of the coefficient matrix. Learn how to determine elements of the reducing lower triangular matrix and explore its ...

Discover how the Legendre matrix method approximates solutions for second order linear hyperbolic partial differential equations with constant coefficients. Compare with Taylor and Bernoulli methods.

In this paper, a novel method is proposed to solve the Lyapunov and Riccati matrix equations by Hopfield neural networks. Experiments show that the proposed method can easily and stably found all real ...

A new analytical method for finding the general solution of the nth-order linear differential equation with variable coefficients is given based on generalizing the idea of differential transfer ...

The method does not require linearization of differential equations because it is a method of directly solving some non-linear physical models. A wide and general class of modern examples representing ...

A numerical solution of the quadratic matrix equations associated with a nonsingular M-matrix by using the alternately linearized implicit iteration method is considered. An iteration method for ...