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A sum-of-squares is a polynomial that can be expressed as a sum of squares of other polynomials.
Extremal PSD forms with few terms
B. Reznick · 1978
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An Introduction to Convex Polytopes
A. Brønsted · 1983
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Sums of squares of real polynomials
M.D. Choi, T.Y. Lam, and B. Reznick · 1995
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An algorithm for sums of squares of real polynomials
V. Powers and T. Wörmann · 1998
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Polynomial equations and convex polytopes
B. Sturmfels · 1998
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On convexification of some minimum distance problems
G. Chesi, A. Tesi, A. Vicino, and R. Genesio · 1999
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Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones
J.F. Sturm · 1999
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Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization
P. Parrilo · 2000
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Some concrete aspects of Hilberts 17th problem
B. Reznick · 2000
Cited alongside, same era.
Global optimization with polynomials and the problem of moments
J.B. Lasserre · 2001
Cited alongside, same era.
Convex Polytopes
B. Grünbaum · 2003
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Semidefinite programming relaxations for semialgebraic problems
P. Parrilo · 2003
Cited alongside, same era.
Yalmip : A toolbox for modeling and optimization in MATLAB
J. Lofberg · 2004
Cited alongside, same era.
Nonlinear Control Analysis and Synthesis using Sum-of-Squares Programming
W. Tan · 2006
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Quantitative Local Analysis of Nonlinear Systems
U. Topcu · 2008
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Robustness analysis of nonlinear systems
G.J. Balas, A. Packard, P. Seiler, and U. Topcu · 2009
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Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems
G. Chesi, A. Garulli, A. Tesi, and A. Vicino · 2009
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Gloptipoly 3: moments, optimization and semidefinite programming
D. Henrion, J. B. Lasserre, and J. Loefberg · 2009
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Pre- and post-processing sum-of-squares problems in practice
J. Lofberg · 2009
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S. Prajna, A. Papachristodoulou, P. Seiler, and P. A. Parrilo · 2004
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H. Waki and M. Muramatsu · 2009
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