Algorithms for Finding Fixed Point Vectors of Functions
ChangePerIterate A function for plotting the change in each vector per...
A function for plotting the convergence change over a series of iterat...
EpsilonExtrapolation This function takes a matrix with previous iterat...
EpsilonExtrapolationVectorOfInverses This is a helper function for Eps...
A function for finding the fixed point of a contraction mapping
FixedPointNewInput This function takes the previous inputs and outputs...
PolynomialExtrapolation This function performs Minimal Polynomial extr...
PutTogetherIteratesWithoutJumps This function takes the previous input...
For functions that take and return vectors (or scalars), this package provides 8 algorithms for finding fixed point vectors (vectors for which the inputs and outputs to the function are the same vector). These algorithms include Anderson (1965) acceleration <doi:10.1145/321296.321305>, epsilon extrapolation methods (Wynn 1962 <doi:10.2307/2004051>) and minimal polynomial methods (Cabay and Jackson 1976 <doi:10.1137/0713060>).