Necessary and Sufficient Conditions for Differentiable Non-Scalar-Valued Functions to Attain Extrema,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1972
- Accession Number
- AD0738311
Entities
People
- Hans P. Geering
- Michael Athans
Organizations
- Massachusetts Institute of Technology