There are good books on matrix theory over $\mathbb R$, $\mathbb C$ and even arbitrary fields. (See First course in linear algebra and matrices over arbitrary fields for details)

My question is: Is there a book focus on matrix theory over the ring $\mathbb Z/n\mathbb Z$? In particular, when $n$ is a large integer and its factorization is unknown, what about the computational problems over this matrix ring $R=\mathbf{Mat}_{m\times m}(\mathbb Z/n\mathbb Z)$? Say, computing the inverse, square roots, determinant, eigenvalues, etc. of a given matrix.


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.