Representations of continuous piecewise affine functions | Zendy

Vassili N. Malozemov | Zendy; G. Sh. Tamasyan | Zendy

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Representations of continuous piecewise affine functions

Author(s) -

Vassili N. Malozemov,

G. Sh. Tamasyan

Publication year - 2022

Publication title -

vestnik of saint petersburg university mathematics mechanics astronomy

Language(s) - English

Resource type - Journals

eISSN - 2587-5884

pISSN - 1025-3106

DOI - 10.21638/spbu01.2022.106

Subject(s) - piecewise , mathematics , affine transformation , representation (politics) , affine hull , polynomial , algebra over a field , pure mathematics , connection (principal bundle) , affine space , mathematical analysis , geometry , politics , political science , law

Continuous piecewise affine functions are widely used in computational mathematics. In one-dimensional case such functions are called broken lines. The article analyzes the analytical representations of broken lines in the forms accepted in the theory of polynomial splines as well as in the form of the difference of the maxima of two finite families of affine functions. The connection between these representation is being determined.

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