The Norm Convergence of a Least Squares Approximation Method for Random Maps
Mathematics and Natural Sciences
We prove the L1-norm and bounded variation norm convergence of a piecewise linear least squares method for the computation of an invariant density of the Foias operator associated with a random map with position dependent probabilities. Then we estimate the convergence rate of this least squares method in the L1-norm and the bounded variation norm, respectively. The numerical results, which demonstrate a higher order accuracy than the linear spline Markov method, support the theoretical analysis.
International Journal of Bifurcation and Chaos
Bangura, R. M.,
(2021). The Norm Convergence of a Least Squares Approximation Method for Random Maps. International Journal of Bifurcation and Chaos, 31(5).
Available at: https://aquila.usm.edu/fac_pubs/18464