For a square matrix ( A ), an eigenvalue ( \lambda ) and a corresponding eigenvector ( v ) are defined by the equation: [ Av = \lambda v ] The eigenvalue ( \lambda ) is a scalar that scales the ...

This is a repository on Numerical-Methods which is in MATLAB code. It is useful for Undergrad/BTech students who may want to add some flavour to their learning process and use this code for simulating ...

A guided overview of numerical methods in finance, showing how Monte Carlo, finite difference, and optimization drive pricing, risk, and portfolio decisions with Python, R, and MATLAB. The ...

Abstract: Identifying the roots of a polynomial is one of the standard tasks of numerical methods, which is often used in the analysis of system stability, regulation, etc. The presented article ...

ABSTRACT: The optimality conditions for macroeconomic problems with limited commitment often contain partial derivatives of the optimal value function, corresponding to the outside option. This paper ...

Abstract: This research investigates and compares the overall performance of different numerical methods, and focuses on their accuracy, what will be the convergence rate, and the computational cost ...

Optical systems employ a rich array of physical effects which are described by well-understood equations. However, for all but the simplest devices these equations are typically too complex to permit ...