Linear operators form the cornerstone of analysis in Banach spaces, offering a framework in which one can rigorously study continuity, spectral properties and stability. Banach space theory, with ...

Francoise Chatelin, The Spectral Approximation of Linear Operators with Applications to the Computation of Eigenelements of Differential and Integral Operators, SIAM Review, Vol. 23, No. 4 (Oct., 1981 ...

This is a review of a coherent body of knowledge, which perhaps deserves the name of the geometric spectral theory of positive linear operators (in finite dimensions), developed by this author and his ...

We present a spectral analysis of a continuous scaling algorithm for matrix scaling and operator scaling. The main result is that if the input matrix or operator has a spectral gap, then a natural ...