Toeplitz system means that the matrix of the system A ⊙X=Y is toeplitz, so it is like in Linear Algebra  ( for the matrix )  with consideration of the defining operations.

ytes the sytsem is Toeplitz

This article is about solving  toeplitz system in tropical Algebra using iterative methods. Here , they take symmetric toeplitz system:

http://arxiv.org/pdf/math/0612309.pdf

plz think max plus algebra

Yes, the given article is in max plus algebra.

thankssss for reference dear zekraoui