Necessary and sufficient conditions for differentiable nonscalar-valued functions to attain extrema
- 1 April 1973
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 18 (2), 132-139
- https://doi.org/10.1109/tac.1973.1100249
Abstract
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 is reported. The applicability of the theory to the analysis of linear least squares vector estimation problem is demonstrated.Keywords
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