11 research outputs found
The use of extrapolation for calculating elementary transcendental and Bessel functions
AbstractThis paper investigates the use of extrapolation for calculating elementary transcendental and Bessel functions. Although extrapolation can speed the convergence of series used to calculate these functions, it is found that the improvement is not worth the cost computationally
A technique to shift an eigenvalue of a complex matrix to accelerate convergence of the power and inverse power method
AbstractA technique is presented to shift an eigenvalue of a complex matrix. It can be used in the power and inverse power method to accelerate convergence to a single eigenvalue or to eliminate an eigenvalue degeneracy. Error bounds are presented that indicate how the remaining eigenvalues are perturbed with each shift