Grigoriy Blekherman

Computational Theory and Mathematics · 2003–2013

A researcher in the Science corpus: 5 papers; trusts 5 researchers and is trusted by 9 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 16 citations into it; #11,737 of 12,182 by trust here, #9,306 by citations
• Geometry and Topology — 12 citations into it
• Numerical Analysis — 6 citations into it; #1,058 of 3,586 by trust here, #739 by citations
• Algebra and Number Theory — 5 citations into it

Whom Grigoriy Blekherman trusts overall

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

1. Bruce Reznick
2. Pablo A. Parrilo
3. Jean B. Lasserre
4. David A. Cox
5. Alexander I. Barvinok
6. Matthias Beck

Who trusts Grigoriy Blekherman overall

1. Jean B. Lasserre
2. Monique Laurent
3. Graziano Chesi
4. Bruce Reznick
5. Heng Yang
6. Paul Breiding
7. J. William Helton
8. Claus Scheiderer
9. Martyn Marshall
10. Vladimir I. Arnold

Papers from Grigoriy Blekherman's perspective

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

1. Global Optimization with Polynomials and the Problem of Moments (SIAM Journal on Optimization)
2. The numerical solution of systems of polynomials - arising in engineering and science
3. On Hilbert's construction of positive polynomials
4. Algebraic Geometry (Wiley Encyclopedia of Computer Science and Engineering)
5. Computing the Continuous Discretely
6. A new bound for Pólya's Theorem with applications to polynomials positive on polyhedra
7. Semidefinite programming
8. Interior-point polynomial algorithms in convex programming
9. The concentration of measure phenomenon
10. There are significantly more nonegative polynomials than sums of squares

Their papers

• Nonnegative Polynomials and Sums of Squares (2010) — 108 citations
• Sums of squares and varieties of minimal degree (2013) — 67 citations
• Semidefinite Optimization and Convex Algebraic Geometry (2012) — 724 citations
• Algebraic boundaries of Hilbert’s SOS cones (2011) — 59 citations
• There are significantly more nonegative polynomials than sums of squares (2003) — 137 citations