Abstract
In this chapter we will consider a problem which has a crucial importance, and will often be a point of departure for many other problems to be considered in the next chapters, that is, the finding of a maximum or minimum (extremum, in general) of a real function.
I turn aside with a shudder of horror
from this lamentable plague of functions
which have no derivatives
Charles Hermite
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Achijezer, N.J.: Lekcji po tieorii approksimacii, pp. 101–102. IZD Nauka, Moskwa (1965)
Aigrain, P.R., Williams, E.M.: J. Appl. Phys. t. 20, 597–600 (1949)
Fichtenholz, G.M.: Rachunek różniczkowy i całkowy, t. PWN, I. Warszawa (1978)
Górecki, H., Turowicz, A.: The approximation method of identification. Fourth Congress IFAC, Session 5, Warszawa, pp. 76–87 (1969)
Grabowski, P.: On a problem of the best \(L^2\)- approximation with exponential sums. Estimation and Control of Distributed Parameter Systems, Basel, Birkhäuser, ISNM 100, 129–138 (1991)
Sobolew, S.L.: Urawnienija matematiczeskoj fiziki. Moskwa, Gos. Izdat. Teoriteczeskoj Liter. 16–19 (1950)
Steinhaus, H.: Über die approximation bonvexer vermittels linearer funktionen. Zeitschrift für Angewandte Mathematik und Mechanik, t. 8, 414–415 (1928)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this chapter
Cite this chapter
Górecki, H. (2018). Unconstrained Extrema of Functions. In: Optimization and Control of Dynamic Systems . Studies in Systems, Decision and Control, vol 107. Springer, Cham. https://doi.org/10.1007/978-3-319-62646-8_5
Download citation
DOI: https://doi.org/10.1007/978-3-319-62646-8_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-62645-1
Online ISBN: 978-3-319-62646-8
eBook Packages: EngineeringEngineering (R0)