Name
Abstract | ||
|---|---|---|
We consider the computation of two normal forms for matrices over the univariate polynomials: the Popov form and the Hermite form. For matrices which are square and nonsingular, deterministic algorithms with satisfactory cost bounds are known. Here, we present deterministic, fast algorithms for rectangular input matrices. The obtained cost bound for the Popov form matches the previous best known randomized algorithm, while the cost bound for the Hermite form improves on the previous best known ones by a factor which is at least the largest dimension of the input matrix. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1145/3208976.3208988 | ISSAC'18: PROCEEDINGS OF THE 2018 ACM INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION |
Keywords | DocType | Volume |
Polynomial matrix, Reduced form, Popov form, Hermite form | Conference | abs/1802.01928 |
Citations | PageRank | References |
1 | 0.37 | 18 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Vincent Neiger | 1 | 39 | 7.22 |
| Johan Rosenkilde | 2 | 4 | 2.45 |
| Grigory Solomatov | 3 | 1 | 0.37 |