Accession Number:

AD0760041

Title:

The Continuity of Metric Projections as Functions of the Data,

Descriptive Note:

Corporate Author:

TEXAS UNIV AUSTIN CENTER FOR NUMERICAL ANALYSIS

Personal Author(s):

Report Date:

1973-04-01

Pagination or Media Count:

11.0

Abstract:

Let X be a Hilbert space, and consider the point x sub 0 minimizing, for a given f in X, the distance 11 x-f11 as x ranges over a polyhedral set C defined by a finite number of real-valued equalities and inequalities. The author wishes to see how x sub 0 varies when y sub 0 and C vary. It is easy to see that x sub 0 is Holder continuous with exponent 12 in its dependence on these parameters this estimate is in general sharp. It is shown, however, that in certain cases x sub 0 is actually Lipschitz continuous in its dependence on the parameters which are used to define the set C. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE