A moment approach to analyze zeros of triangular polynomial sets

DOI10.1090/S0002-9947-05-03972-3zbMath1129.26011OpenAlexW1786903560MaRDI QIDQ5714388

Jean-Bernard Lasserre

Publication date: 2 January 2006

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-05-03972-3

Mathematics Subject Classification ID

Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Moment problems and interpolation problems in the complex plane (30E05) Real polynomials: location of zeros (26C10)

Related Items (1)

Semidefinite characterization and computation of zero-dimensional real radical ideals

Cites Work

• Unnamed Item
• Solving zero-dimensional algebraic systems
• Radical computations of zero-dimensional ideals and real root counting.
• Computing triangular systems and regular systems
• On the theories of triangular sets
• Triangular sets for solving polynomial systems: a comparative implementation of four methods
• Polynomials with all zeros real and in a prescribed interval
• Semidefinite Programming
• The truncated complex $K$-moment problem
• Algorithms in real algebraic geometry

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