Andrew J. Sommese

Computational Theory and Mathematics · 2001–2017

A researcher in the Science corpus: 11 papers; trusts 5 researchers and is trusted by 30 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 10 citations into it; #1,728 of 12,182 by trust here, #2,689 by citations
• Computational Mechanics — 6 citations into it; #4,029 of 10,001 by trust here, #5,350 by citations

Whom Andrew J. Sommese trusts overall

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

1. Eugene L. Allgower
2. Charles W. Wampler II
3. Jan Verschelde
4. Kurt Georg
5. Daniel J. Bates

Who trusts Andrew J. Sommese overall

1. Ye Lu
2. Charles W. Wampler II
3. Xianwen Kong
4. Daniel J. Bates
5. Jonathan D. Hauenstein
6. Paul Breiding
7. Frederik Denef
8. Michael Barton
9. Tristan C. Collins
10. J. E. Camargo-Molina

Papers from Andrew J. Sommese's perspective

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

1. Advances in Polynomial Continuation for Solving Problems in Kinematics
2. Continuation and path following
3. The numerical solution of systems of polynomials - arising in engineering and science
4. Introduction to numerical algebraic geometry
5. Algorithms in real algebraic geometry
6. Architecture singular planar parallel manipulators
7. Mobility of mechanisms: a critical review
8. Finding All Real Points of a Complex Curve
9. Solving the Kinematics of Planar Mechanisms by Dixon Determinant and a Complex-Plane Formulation
10. Numerically Solving Polynomial Systems with Bertini (Software, environments, tools)

Their papers

• The numerical solution of systems of polynomials - arising in engineering and science (2005) — 962 citations
• Numerically Solving Polynomial Systems with Bertini (2013) — 407 citations
• Advances in Polynomial Continuation for Solving Problems in Kinematics (2004) — 85 citations
• Using Monodromy to Decompose Solution Sets of Polynomial Systems into Irreducible Components (2001) — 92 citations
• Introduction to numerical algebraic geometry (2005) — 81 citations
• Basic Algebraic Geometry (2005) — 762 citations
• Finding All Real Points of a Complex Curve (2006) — 60 citations
• What is numerical algebraic geometry (2017) — 80 citations
• Homotopy techniques for tensor decomposition and perfect identifiability (2014) — 50 citations
• Mechanism mobility and a local dimension test (2011) — 49 citations
• Invariant curves for birational surface maps (2005) — 48 citations