Martyn Marshall

Computational Theory and Mathematics · 2002–2009

A researcher in the Science corpus: 6 papers; trusts 10 researchers and is trusted by 21 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 31 citations into it; #4,943 of 12,182 by trust here, #6,165 by citations
• Geometry and Topology — 16 citations into it; #4,270 of 7,422 by trust here, #5,748 by citations
• Applied Mathematics — 12 citations into it; #4,577 of 7,620 by trust here, #2,192 by citations
• Numerical Analysis — 10 citations into it; #533 of 3,586 by trust here, #800 by citations
• Mathematical Physics — 8 citations into it; #6,065 of 8,562 by trust here, #3,482 by citations
• Algebra and Number Theory — 6 citations into it; #1,527 of 2,864 by trust here, #2,062 by citations

Whom Martyn Marshall trusts overall

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

1. Pablo A. Parrilo
2. T. Jacobi
3. Claus Scheiderer
4. Bernd Sturmfels
5. Victoria Powers
6. Salma Kuhlmann
7. Jean B. Lasserre
8. Bruce Reznick
9. K. Schmuedgen
10. Grigoriy Blekherman

Who trusts Martyn Marshall overall

1. Jiawang Nie
2. Vladimir I. Arnold
3. Monique Laurent
4. Claus Scheiderer
5. K. Schmuedgen
6. Jaiung Jun
7. O. Y. Viro
8. I. Itenberg
9. Jean B. Lasserre
10. Carla Fidalgo

Papers from Martyn Marshall's perspective

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

1. Distinguished representations of strictly positive polynomials
2. Sums of squares of regular functions on real algebraic varieties
3. Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization
4. Global Optimization with Polynomials and the Problem of Moments (SIAM Journal on Optimization)
5. The moment problem for non-compact semialgebraic sets
6. A representation theorem for certain partially ordered commutative rings
7. Minimizing Polynomial Functions (Algorithmic and Quantitative Aspects of Real Algebraic Geometry in Mathematics and Computer Science)
8. Sums of squares on real algebraic curves
9. Semidefinite programming
10. A new bound for Pólya's Theorem with applications to polynomials positive on polyhedra

Their papers

• Representations of Non-Negative Polynomials, Degree Bounds and Applications to Optimization (2009) — 77 citations
• Positive polynomials and sums of squares (2008) — 526 citations
• Real reduced multirings and multifields (2006) — 64 citations
• Positivity, sums of squares and the multi-dimensional moment problem II ⁄ (2005) — 57 citations
• Optimization of Polynomial Functions (2003) — 68 citations
• Positivity, sums of squares and the multi-dimensional moment problem (2002) — 117 citations