Algebraic systems of matrices and Gröbner basis theory

DOI10.1016/j.laa.2008.11.031zbMath1161.39021OpenAlexW1979265628MaRDI QIDQ1014481

Gerald Bourgeois

Publication date: 29 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.11.031

zbMATH Keywords

Gröbner basisquaternionsnilpotent semigroupsystems of matrices

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Algebraic systems of matrices (15A30) Matrix and operator functional equations (39B42)

Related Items

How to solve the matrix equation \(XA-AX=f(X)\)

Uses Software

• FGb
• Maple
• BERGMAN

Cites Work

• Unnamed Item
• Extremal ranks of a quaternion matrix expression subject to consistent systems of quaternion matrix equations with applications
• Convex matrix equations