Noncoercive sums of squares in \(\mathbb R[x_1,\ldots ,x_n]\)

DOI10.1016/j.jpaa.2009.05.012zbMath1272.12005OpenAlexW1987855953MaRDI QIDQ1040597

Gregory C. Verchota

Publication date: 25 November 2009

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2009.05.012

zbMATH Keywords

Gram matrixsum of squarespositive definite formzero set of polynomials

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Boundary value problems for higher-order elliptic equations (35J40) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Real algebraic and real-analytic geometry (14P99) Higher-order elliptic equations (35J30) Real algebra (13J30) Forms over real fields (11E10)

Related Items (2)

Agmon Coerciveness and the Analysis of Operators with Formally Positive Integro-Differential Forms ⋮ trace-positive non-commutative polynomials

Cites Work

• Even symmetric sextics
• Extremal positive semidefinite forms
• An algorithm for sums of squares of real polynomials
• Symmetry groups, semidefinite programs, and sums of squares
• Dilation invariant estimates and the boundary Gårding inequality for higher order elliptic operators
• Real even symmetric ternary forms
• The coerciveness problem for integro-differential forms
• Sums of Squares of Polynomials
• Agmon Coerciveness and the Analysis of Operators with Formally Positive Integro-Differential Forms
• SOS-based solution approach to polynomial LPV system analysis and synthesis problems
• On sums of squares
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