
Accession Number : AD0738311
Title : Necessary and Sufficient Conditions for Differentiable NonScalarValued Functions to Attain Extrema,
Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE ELECTRONIC SYSTEMS LAB
Personal Author(s) : Geering,Hans P. ; Athans,Michael
Report Date : JAN 1972
Pagination or Media Count : 30
Abstract : The paper reports a selfcontained theory of extrema (viz. suprema, maxima, minima, and infima) of differentiable functions of several (possibly infinitely many) variables mapping into finitedimensional integrally closed directed partially ordered linear spaces. The applicability of the theory to the analysis of linear leastsquares vector estimation problems is demonstrated. (Author)
Descriptors : (*ADAPTIVE CONTROL SYSTEMS, MATHEMATICAL MODELS), (*FUNCTIONS(MATHEMATICS), OPTIMIZATION), FUNCTIONAL ANALYSIS, MATHEMATICAL PROGRAMMING, ALGEBRAIC TOPOLOGY, VECTOR SPACES, MAPPING(TRANSFORMATIONS), STOCHASTIC PROCESSES, DIFFERENTIAL EQUATIONS, THEOREMS
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE