calibration of LMM to swaptions

[quantiago]

I am trying to implement BGM model for Libor rates.
I am following the road map given in the project 11 in theory and concepts.

For my work I need to calibrate the model to caplet prices as well as to swaptions.
One of my very basic doubt is:

once i calibrate to caplets, all the volatility parameters (a,b,c,d,K's) and the correlation parameter \beta is known.
Then how can i calibrate to swaption prices? as theres know more parameters left for matching.

Thank you very much in advance

[mj]

well there are many different ways to approach this. See for example

http://ssrn.com/abstract=1092665