Matrix factorization of a polynomial

In mathematics, a matrix factorization of a polynomial is a technique for factoring irreducible polynomials with matrices.

David Eisenbud proved that every multivariate real-valued polynomial p without linear terms can be written as AB = pI, where A and B are square matrices and I is the identity matrix.

[1] Given the polynomial p, the matrices A and B can be found by elementary methods.

[2] The polynomial x2 + y2 is irreducible over R[x,y], but can be written as

This polynomial-related article is a stub.