An algorithmic representation of fractional powers of positive operators

被引：10

作者：

Gavrilyuk, IP ^{[1
]}

机构：

[1] UNIV LEIPZIG,FAK MATH & INFORMAT,D-04109 LEIPZIG,GERMANY

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1996年 / 17卷 / 3-4期

关键词：

D O I：

10.1080/01630569608816695

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：293 / 305

页数：13

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