A generalization of Stickelberger's theorem

DOI10.1016/j.laa.2008.01.019zbMath1140.15002OpenAlexW1997323449MaRDI QIDQ924361

Guangxing Zeng

Publication date: 15 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.01.019

zbMATH Keywords

eigenvaluelinear transformationvector spacepolynomial equationStickelberger's theorempolynomial inequationzero-dimensional system

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Eigenvalues, singular values, and eigenvectors (15A18) Linear transformations, semilinear transformations (15A04) Computational aspects in algebraic geometry (14Q99)

Related Items

Stickelberger and the Eigenvalue Theorem ⋮ On a generalization of Stickelberger's theorem

Cites Work

• Solving zero-dimensional systems through the rational univariate representation
• Radical computations of zero-dimensional ideals and real root counting.
• Algorithms in real algebraic geometry
• Unnamed Item

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