شماره ركورد كنفرانس :
5362
عنوان مقاله :
Bounds for Norms of Matrix Functions
پديدآورندگان :
Hamadi Majed majed.hamadi77@sharif.edu Sharif University of Technology , Mahdavi-Amiri Nezam nezamm@sharif.edu Sharif University of Technology
كليدواژه :
Crouzeix’s conjecture , Numerical range , Matrix functions
عنوان كنفرانس :
دوازدهمين سمينار جبر خطي و كاربردهاي آن
چكيده فارسي :
Here we investigate the bounds for norm of matrix functions, considering the Crouzeix’s conjecture. We provide bounds for the norm of a matrix function using the numerical range and Faber polynomials. In particular, we obtain bounds for norm of the sine and cosine and also the hyperbolic sine and cosine functions of matrices as exponential functions.
