Accession Number:

AD0738311

Title:

Necessary and Sufficient Conditions for Differentiable Non-Scalar-Valued Functions to Attain Extrema,

Descriptive Note:

Corporate Author:

MASSACHUSETTS INST OF TECH CAMBRIDGE ELECTRONIC SYSTEMS LAB

Personal Author(s):

Report Date:

1972-01-01

Pagination or Media Count:

30.0

Abstract:

The paper reports a self-contained theory of extrema viz. suprema, maxima, minima, and infima of differentiable functions of several possibly infinitely many variables mapping into finite-dimensional integrally closed directed partially ordered linear spaces. The applicability of the theory to the analysis of linear least-squares vector estimation problems is demonstrated. Author

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE