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.

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 ...

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 ...

Presenting an algorithm that solves linear systems with sparse coefficient matrices asymptotically faster than matrix multiplication for any ω > 2. Our algorithm can be viewed as an efficient, ...

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 ...

Y. Saad, Krylov Subspace Methods for Solving Large Unsymmetric Linear Systems, Mathematics of Computation, Vol. 37, No. 155 (Jul., 1981), pp. 105-126 ...

Multiple methods are available in the literature to solve a linear system. They are generally classified in two categories, direct methods and iterative methods. In this work, we focus on solving a ...

Sweep-method Sweep method for solving Systems of Linear Algebraic Equations (SLAE) The sweep method is a special case of the Gauss method and is used to solve systems of linear equations with a ...