IJPAM: Volume 93, No. 3 (2014)
AFFINE MAPPINGS ON SIMPLICES
Malinee Chaiya
, Somjate Chaiya
Department of Mathematics
Faculty of Science
Silpakorn University
Nakorn Pathom, 73000, THAILAND



Faculty of Science
Silpakorn University
Nakorn Pathom, 73000, THAILAND
Abstract. In this paper, we study affine mappings on domains in
that are unions of simplices. Let
be an affine mapping of the form
, where
is a
transformation matrix, on a simplex
. We establish the condition of these matrices
in order to obtain a continuous piecewise affine mapping
on the domain
that is the union of simplices
such that
.
Received: November 16, 2013
AMS Subject Classification: 14R99, 15A23
Key Words and Phrases: affine mapping, simplex
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DOI: 10.12732/ijpam.v93i3.4 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 93
Issue: 3
Pages: 339 - 350
