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Raising A Matrix By An Exponent
In the merge phase of the divide and conquer process, the result is multiplied by itself for even exponents (the odd exponents needs one step more, but that only affects the constant factor of algorithms running time). The merge step is based on a following property ... The only thing you have to do is to implement matrix exponentiation and you then can calculate the n-th Fibonacci number in logarithmic time by raising the matrix. See my example implementation of the& ...
raising a matrix by an exponent
Matrix repeated_squaring(Matrix A, int exponent, int n) //Recursive function { A(n,n); IdentityMatrix I(n); if (exponent == 0) //Matrix raised to zero returns an Identity Matrix return I; if (exponent == 1) return A; { if (exponent % 2& ...
The gfor with the indexed multiplication works with local variables but raising to some exponent gives garbage...? Surely this should .... no combination I can find works here to raise the matrix to a power % where the power& ...
(EDIT: Or of course, you do the normal-people thing and use Matlab/Octave instead.) It`s not raising a matrix to a power -- the matrix is in the exponent. The OP is correct that it involves an expansion. What is giving you difficulty& ...
In the merge phase of the divide and conquer process, the result is multiplied by itself for even exponents (the odd exponents needs one step more, but that only affects the constant factor of algorithms running time). The merge step is based on a following property ... The only thing you have to do is to implement matrix exponentiation and you then can calculate the n-th Fibonacci number in logarithmic time by raising the matrix. See my example implementation of the& ...
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