An algebraist’s view on border bases

By A. Kehrein, Martin Kreuzer, L. Robbiano. 2005

57 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Computational Mechanics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/8bee8a6fc68bfc17b021d86a646503fbf142a0d0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Monique Laurent
2. A. Kehrein
3. Martin Kreuzer
4. L. Fialkow
5. R. Curto

In Computational Mechanics

1. Monique Laurent

In Computational Theory and Mathematics

1. Monique Laurent
2. A. Kehrein
3. Bernard Mourrain
4. Martin Kreuzer
5. Martin J. Wainwright
6. Michael I. Jordan

Citations in the corpus

• Characterizations of Border Bases (2005, background): “Key words: border basis, division algorithm, syzygy module”
• A generalized flat extension theorem for moment matrices (2009, background): “The next result of [18] shows that the converse implication holds when B is connected to 1; this was also proved later in [10] when B is closed under taking divisors.”
• Sums of Squares, Moment Matrices and Optimization Over Polynomials (2009, background): “16, following the treatment in [67].”