Name

subdirectionB — Calculation of B on Subdivided Boxes

Calling Sequence

[b1,DA,DB] = subdirectionB(B,N)

Parameters

B :

Bernstein Coefficients on the given box

N :

Dimensional (Row) Matrix for all Variables in the Polynomial

b1 :

Bernstein Coefficient after processing

DA, DB :

Bernstein coefficients on the Subdivided boxes XA and XB

Description

Using orginal Bernstein Coefficient patch, we can directly calculate Bernstein Coefficients on subdivided boxes.

See also

InvUVW

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.