I would like to showcase the group projects that were completed by my friends and myself as part of our numerical analysis course.

Some common methods to find roots of non-linear equations are discussed. Interval Bisection and Secant Method are implemented and compared with each other.

We present a gradient-based algorithm for unconstrained minimization derived from iterated linear change of basis. The new method is equivalent to linear conjugate gradient in the case of a quadratic ...

Abstract: This paper presents an application of a combined improved pre-prepared power demand (IPPD) table and secant method for solving the unit commitment (UC) problem of thermal units with ramp ...

Abstract: This paper describes secant method with particle swarm optimization (PSO) for solving the economic dispatch (ED) problem with valve point loading. The ED problem is solved in two stages. The ...

Secant method is an effective numerical technique for solving equations in mathematics. It’s a valuable tool for anyone looking to find approximate solutions to complex problems. In this article, we ...

1 Guangdong Polytechnic of Water Resource and Electric Engineering, Guangzhou, China. 2 School of Civil and Transportation Engineering, Guangdong University of Technology, Guangzhou, China. Deflection ...