Minimal polynomial systems for parametric matrices
Amir Hashemi, Benyamin M.-Alizadeh, Mahdi Dehghani Darmian · Linear and Multilinear Algebra · 2012
In this article, we study the minimal polynomials of parametric matrices. Using the concept of (comprehensive) Gröbner systems for parametric ideals, we introduce the notion of a minimal polynomial system for a parametric matrix, i.e. we decompose the space of parameters into a finite set of cells and for each cell we give the corresponding minimal polynomial of the matrix. We also present an algorithm for computing a minimal polynomial system for a given parametric matrix.