Kindly point to a document that covers the major types and the algorithms used for the neural networks and is up to date.
You can have a look at the upcoming DL book by Bengio and co http://www.iro.umontreal.ca/~bengioy/dlbook/
Though not new but the following would be very helpful
http://shodhganga.inflibnet.ac.in/bitstream/10603/8270/11/11_chapter%202.pdf
For a general understanding and an overview you might want to take a look at the second edition of Hagan's book published in 2014:
Neural Network Design (2nd Edition) , 2014
by Martin T Hagan (Author), Howard B Demuth (Author), Mark H Beale (Author), Orlando De Jesús (Author)
Available at: http://hagan.okstate.edu/NNDesign.pdf
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