Barnsley, Michaelvince, Andrew2015-12-100024-3795http://hdl.handle.net/1885/68234The eigenvalue problem for a linear function L centers on solving the eigen-equation Lx=λx. This paper generalizes the eigenvalue problem from a single linear function to an iterated function system F consisting of possibly an infinite number of linear oKeywords: Affine function; Compact sets; Eigen-value; Eigenvalue problem; Infinite numbers; Iterated function system; Joint spectral radius; Linear functions; Matrix algebra; Eigenvalues and eigenfunctions Eigenvalue problem; Iterated function system; Joint spectral radius201110.1016/j.laa.2011.05.0112016-02-24