The aim of this study is to give a Legendre polynomial approximation for the solution of the second order linear hyper-bolic partial differential equations (HPDEs) with two variables and constant ...

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, ...

Sinc methods are now recognized as an efficient numerical method for problems whose solutions may have singularities, or infinite domains, or boundary layers. This work deals with the sinc-collocation ...

This paper presents optimum an one-parameter iteration (OOPI) method and a multi-parameter iteration direct (MPID) method for efficiently solving linear algebraic systems with low order matrix A and ...

# - [ 4 - System of Linear Equations with Infinite Number of Solutions](#4) # 4x_1-3x_2+x_3=-10, \\ 2x_1+x_2+3x_3=0, \\ -x_1+2x_2-5x_3=17, \end{cases}\tag{1}$$ # **To ...

"$$\\left[ \\begin{array}{ccc} 1 & 1 \\\\ 2 & 4 \\\\ \\end{array} \\right]\\left[ \\begin{array}{c} x \\\\ y \\\\ \\end{array} \\right] = \\left[ \\begin{array}{c} 35 ...

Abstract: The line search has undergone numerous important improvements throughout the years, with many researchers concentrating on offering and developing developments that are suitable techniques ...