An algorithmic representation of fractional powers of positive operators

1 January 1996

journal article
research article
Published by Taylor & Francis in Numerical Functional Analysis and Optimization

Vol. 17 (3) , 293-305
https://doi.org/10.1080/01630569608816695

Abstract

We are concerned with a new representation of fractional powers of operators by a series using exclusively contractive operators or operators with uniformly bounded powers. This representation is suitable for the construction of efficient approximations for which the error estimates are given and the convergence is investigated. The rate of convergence turns out to be exponential for bounded operators and polynomial for unbounded operators

Keywords

This publication has 2 references indexed in Scilit:

A Method for Solving Initial Value Problems for Linear Differential Equations in Hilbert Space Based on The Cayley Transform
Numerical Functional Analysis and Optimization, 1993
Semigroups of Linear Operators and Applications to Partial Differential Equations
Published by Springer Nature ,1983