SU\G(𝔸)/K·U

On sums of squares

Anneli Lax, Peter D. Lax

Type: Article

Publication Date: 1978-03-01

Citations: 20

DOI: https://doi.org/10.1016/0024-3795(78)90031-9

Locations

  • Linear Algebra and its Applications - View

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Works That Cite This (17)

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+ Exact certification in global polynomial optimization via sums-of-squares of rational functions with rational coefficients 2011 Erich Kaltofen
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+ Probabilistic Algorithm for Polynomial Optimization over a Real Algebraic Set 2014 Aurélien Greuet
Mohab Safey El Din
+ Global optimization of polynomials using generalized critical values and sums of squares 2010 Feng Guo
Mohab Safey El Din
Lihong Zhi
+ PDF Chat Testing Sign Conditions on a Multivariate Polynomial and Applications 2007 Mohab Safey El Din
+ On the Choi–Lam analogue of Hilbert's 1888 theorem for symmetric forms 2016 Charu Goel
Salma Kuhlmann
Bruce Reznick
+ PDF Chat Discriminants, Symmetrized Graph Monomials, and Sums Of Squares 2012 Per Alexandersson
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+ Noncoercive sums of squares in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi mathvariant="double-struck">R</mml:mi><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mo>…</mml:mo><mml:mo>,</mml:mo><mml:msub><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo>]</mml:mo></mml:mrow></… 2009 Gregory C. Verchota
+ Existence of positive definite noncoercive sums of squares 2007 Gregory C. Verchota
+ Trigonometric polynomials and sums of squares 1985 A. Naftalevich
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+ Extension of Hilbert's 1888 Theorem to Even Symmetric Forms 2014 Charu Goel

Works Cited by This (8)

Action Title Year Authors
+ Mathematical Developments Arising from Hilbert Problems 1976 Felix E. Browder
+ Positive semidefinite biquadratic forms 1975 Man-Duen Choi
+ Ăśber die Darstellung definiter Formen als Summe von Formenquadraten 1933 David Hilbert
+ Ăśber die Zerlegung definiter Funktionen in Quadrate 1927 Emil Artin
+ Sums of Squares 1970 Olga Taussky
+ Ueber die Darstellung definiter Formen als Summen von Formenquadraten 1888 Hilbert
+ PDF Chat Ueber die Darstellung definiter Formen als Summe von Formenquadraten 1888 David Hilbert
+ Sums of Squares 1970 Olga Taussky