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