what is the idea behind Hull and White's paper

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Dear all
Can some one explain the idea behind Hull and White's paper
"Efficient Procedures for Valuing European and American Path-Dependent Options "?- See more at: http://www.iijournals.com/doi/abs/10.3905/jod.1993.407869#sthash.91Fl5h8y.dpuf
http://wenku.baidu.com/view/8fca36126c175f0e7cd1374f.html
I meant the first extension they mentioned in their paper
I don't think I get it really well so it would be really appreciated
if some one could help me on this ?
Does the matlab code for the method mentioned above exist?
If you could share with me, it is really appreciated.

Thank you so much for reading my thread.
 
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