Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899894 | Journal of Mathematical Analysis and Applications | 2018 | 24 Pages |
Abstract
The paper revisits the classical problem of evaluating f(A) for a real function f and a matrix A with real spectrum. The evaluation is based on expanding f in Chebyshev polynomials, and the focus of the paper is to study the convergence rates of these expansions. In particular, we derive bounds on the convergence rates which reveal the relation between the smoothness of f and the diagonalizability of the matrix A. We present several numerical examples to illustrate our analysis.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Nir Sharon, Yoel Shkolnisky,