Abstract
This chapter aims at giving a short introduction to some mathematical concepts which are used in this work. Vector and matrix norms are discussed in Sect. 2.1, some comments concerning derivatives are given in Sect. 2.2 and a short introduction to convex analysis is provided in Sect. 2.3. A proximal point and a distance vector function are introduced, which are associated with a special class of normal cone inclusion problems. A discussion on global and local representations of such problems is given in Sect. 2.4. Section 2.5 deals with differential algebraic equations.
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© 2009 Springer-Verlag Berlin Heidelberg
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Studer, C. (2009). Mathematical Preliminaries. In: Numerics of Unilateral Contacts and Friction. Lecture Notes in Applied and Computational Mechanics, vol 47. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01100-9_2
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DOI: https://doi.org/10.1007/978-3-642-01100-9_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-01099-6
Online ISBN: 978-3-642-01100-9
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