InvUVW — Calculation for M
[M,N,B] = InvUVW(A,XB)
Coefficient Matrix (multidimensional matrix in case of multivariate polynomial)
Original Bounds
Multiplication of Inverse of U,V and W matrix
Dimension (Row) Matrix for all varibles in the Polynomial
Bernstein Coefficient of the Polynomial Over given bounds XB
// Calculation for M [M,N,B] = InvUVW(A,XB) // If, A=[1,2;1,0] and XB=[0.5,1]; // Gives , M(:).entries=[1,0.5;1,1], N=1, B=[1.5,2;2,2]
Mr. Dhiraj B. Magare |
IDP in Systems and Control Engineering |
Indian Institute of Technology Bombay |
Mr. Bhagyesh V. Patil |
IDP in Systems and Control Engineering |
Indian Institute of Technology Bombay |
Prof. P.S.V. Nataraj |
IDP in Systems and Control Engineering |
Indian Institute of Technology Bombay |
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.