Monte Carlo methods are used in many areas including random number generations, nuclear reactor designs, traffic flows, oil-well explorations, economics etc.
PEREGRINE is a software/hardware system that implements the Monte Carlo method for the specific purpose of simulating medical radiation delivery. The major goals in its development have been to design a system specifically tailored to […]

Eigenvalues and Eigenvectors are used in many engineering and science applications such as Control theory, vibration analysis, electric circuits etc. Many applications use eigenvalues and vectors to transform a given matrix into a diagonal matrix.
Matrices with distinct eigenvalues have eigenvectors which are linearly independent (L.I). A matrix P formed by these L.I eigenvectors as its […]

The quadratic convergence that is established by Newton’s method is based upon hypotheses that are difficult to verify a priori. One of them is that f’(r) is not equal to 0. If f’(r) is equal to 0 then r would be a zero of f and f’. […]