Name

InvUVW — Calculation for M

Calling Sequence

[M,N,B] = InvUVW(A,XB)

Parameters

A :

Coefficient Matrix (multidimensional matrix in case of multivariate polynomial)

XB :

Original Bounds

M :

Multiplication of Inverse of U,V and W matrix

N :

Dimension (Row) Matrix for all varibles in the Polynomial

B :

Bernstein Coefficient of the Polynomial Over given bounds XB

Description

Matrix method is used to calculate M, N and B.

Authors

Mr. Dhiraj B. Magare
IDP in System and Control Engineering
Indian Institute of Technology Bombay
Mr. Bhagyesh V. Patil
IDP in System and Control Engineering
Indian Institute of Technology Bombay
Prof. P.S.V. Nataraj
IDP in System and Control Engineering
Indian Institute of Technology Bombay

Bibliography

1. Shashwati Ray, P.S.V. Nataraj. An efficient algorithm for range computation of polynomials using the Bernstein form. Journal of Global Optimization, 45: 403-426,2009;

2. S. Ray, A new approach to range computation of polynomial problems using the Bernstein form. PhD thesis, Systems and Control Engineering, IIT Bombay, India, 2007.