On the Stable Method Computing Values of Unbounded Operators

• 作者: Nguyen Van Kinh
• 来源期刊: 最优化(英文)
• 学科: 数学
• 关键词: The Stable Method Ill-Posed Problem REGULARIZATION Tikhonov Method Unbounded Linear Operator
• 年，卷（期）: 2020,（4）
• 页码范围: 129-137
• 页数: 9页
• 分类号: O17

摘要

Unbounded operators can transform arbitrarily small vectors into arbitrarily large vectors—a phenomenon known as instability. Stabilization methods strive to approximate a value of an unbounded operator by applying a family of bounded operators to rough approximate data that do not necessarily lie within the domain of unbounded operator. In this paper we shall be concerned with the stable method of computing values of unbounded operators having perturbations and the stability is established for this method.