Bernard Mourrain

Computational Mathematics · 2004–2012

A researcher in the Science corpus: 4 papers; trusts 8 researchers and is trusted by 7 researchers here, as inferred from the citation graph.

Subfields

• Computational Mathematics — 15 citations into it; #257 of 612 by trust here, #200 by citations
• Computational Theory and Mathematics — 15 citations into it; #4,877 of 12,182 by trust here, #3,562 by citations
• Signal Processing — 7 citations into it
• Numerical Analysis — 6 citations into it; #3,410 of 3,586 by trust here, #3,260 by citations

Whom Bernard Mourrain trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Monique Laurent
2. Jean B. Lasserre
3. Lieven De Lathauwer
4. Liqun Qi

Who trusts Bernard Mourrain overall

1. Alessandra Bernardi
2. Lieven De Lathauwer
3. Yaroslav N. Shitov

Papers from Bernard Mourrain's perspective

Ordered by how strongly the researchers Bernard Mourrain trusts endorse each paper. Same corpus, a different order for every researcher.

1. Symmetric Tensors and Symmetric Tensor Rank (SIAM Journal on Matrix Analysis and Applications)
2. A Multilinear Singular Value Decomposition
3. Global Optimization with Polynomials and the Problem of Moments (SIAM Journal on Optimization)
4. An algebraist’s view on border bases
5. Eigenvalues of a real supersymmetric tensor (Journal of symbolic computation)
6. On the rank of a symmetric form
7. Sums of Squares, Moment Matrices and Optimization Over Polynomials
8. Tensors: Geometry and Applications
9. Equations for secant varieties of Veronese and other varieties
10. The solution to the Waring problem for monomials and the sum of coprime monomials

Their papers

• Symmetric Tensors and Symmetric Tensor Rank (2008) — 652 citations
• A generalized flat extension theorem for moment matrices (2009) — 55 citations
• A comparison of different notions of ranks of symmetric tensors (2012) — 49 citations
• Bernstein's basis and real root isolation (2004) — 61 citations