Name

vertex — Vertex Property applied on given polynomial function.

Calling Sequence

[valid,Bmin,Bvermin,zcap] = vertex(B,XB,N,ex1,zcap,LXsol,D1,Z1,Y)
Parameters
B :
 Original Berstein Coefficient
XB:
 Original Box(es)
N :
 Dimensional (Row) Matrix for all Variables in the Polynomial
ex1:
 Tolerence on the Bounds
zcap:
 Global Minimum Estimate
LXsol:
 Temporary List for all minimzers at which Global minimum may lie
D1:
 Total Number of Bernstein coefficients at vertices (Bvermin)
Z1:
 Total Number of Global Minimum Estimate (zcap)
Y :
 New Bounds Calculated from Vertex Property
valid :
 Indicates boxes feasible (valid=1) or boxes infeasible (valid=0)
Bmin :
 Minimum Bernstein Coefficient Value
Description

Vertex property plays vital role for finding out the global minimum.
   


See also
store, getverind, sun2lin, ind2x, lin2sub
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.	G. T. Cargo and O. Shisha. The Bernstein form of a polynomial. Jl. of research of NBS,70B:79-81,1966.
3. 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.