On the Number of Real Quadratic Factors of Polynomials

DOI10.1137/0607006zbMath0597.12024OpenAlexW2079057096MaRDI QIDQ3729026

Zalman Rubinstein

Publication date: 1986

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0607006

zbMATH Keywords

multiple quadratic factorsreal quadratic factors of polynomials

Mathematics Subject Classification ID

Polynomials in real and complex fields: factorization (12D05) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Real polynomials: location of zeros (26C10) Elementary questions in algebraic geometry (14A25)

Cites Work

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• On the calculation of the exact number of zeroes of a set of equations
• Characterization of equilibrium sets for bilinear systems with feedback control
• On the Number of Solutions to Polynomial Systems of Equations
• Zero-Diminishing Linear Transformations
• Inner algorithm to test for positive definiteness of arbitrary binary forms
• Test for Lyapunov stability by rational operations
• On the number of solutions of multivariable polynomial systems
• Solutions of systems of polynomial equations by elimination
• Algebra of Polynomials in Several Variables for a Digital Computer

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