Matrix exponentiation using fermat's theorem

Question

Like we use fermat's little theorem for modular exponentiation , I was just wondering that is there any such method for fast matrix exponentiation ? Can we use fermat's theorem for matrix exponentiation ? If no then is there any faster method than divide and conquer method of exponentiation ?

Answer 1

I would look for Octave's implementation of that. There it gives you some references. Here some links:

• http://epubs.siam.org/doi/abs/10.1137/1020098
• http://www.cs.cornell.edu/cv/researchpdf/19ways+.pdf