Author(s)

Nguyen Van Kinh

Faculty of Applied Science, Ho Chi Minh City University of Food Industry, Ho Chi Minh, Vietnam.

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.

The Stable Method, Ill-Posed Problem, Regularization, Tikhonov Method, Unbounded Linear Operator

Van Kinh, N. (2020) On the Stable Method Computing Values of Unbounded Operators. Open Journal of Optimization, 9, 129-137. doi: 10.4236/ojop.2020.94009.