Bounds for Norms of Matrix Functions

Here we investigate the bounds for norm of matrix functions, considering theCrouzeix’s conjecture. We provide bounds for the norm of a matrix function using thenumerical range and Faber polynomials. In particular, we obtain bounds for norm ofthe sine and cosine and also the hyperbolic sine and cosine functions of matrices asexponential functions

کلیدواژه ها:

Crouzeix’s conjecture ، Numerical range ، Matrix functions