Minimal polynomial systems for parametric matrices

DOI10.1080/03081087.2012.670235zbMath1261.15014OpenAlexW2018038902MaRDI QIDQ4908175

Mahdi Dehghani Darmian, Amir Hashemi, Benyamin M.-Alizadeh

Publication date: 4 March 2013

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2012.670235

zbMATH Keywords

algorithmGröbner basesminimal polynomialGröbner systemsparametric matrices

Mathematics Subject Classification ID

Related Items (2)

Gröbner systems conversion ⋮ Parametric FGLM algorithm

Uses Software

• IncDisPGB.mpl

Cites Work

• Gröbner bases for polynomial systems with parameters
• Minimal canonical comprehensive Gröbner systems
• Comprehensive Gröbner bases
• A new algorithm for discussing Gröbner bases with parameters.
• An alternative approach to comprehensive Gröbner bases
• Canonical comprehensive Gröbner bases
• Bruno Buchberger's PhD thesis 1965: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal. Translation from the German
• Improving the DISPGB algorithm using the discriminant ideal
• Eigenvalue range determination for interval and parametric matrices
• To solving inverse eigenvalue problems for parametric matrices

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