A generalization of Sourour's theorem

DOI10.1016/S0024-3795(98)10167-2zbMath0937.15007MaRDI QIDQ1301280

Nikolai Gordeev, Erich W. Ellers

Publication date: 13 June 2000

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

zbMATH Keywords

prescribed eigenvaluesinverse problemsChevalley groupsinvertible matrixGauss decompositionprescribed diagonal part

Mathematics Subject Classification ID

Factorization of matrices (15A23) Inverse problems in linear algebra (15A29)

Related Items (2)

\(k\)-fold anti-invariant subspaces of a linear mapping. ⋮ Gauss Decomposition with Prescribed Semisimple Part in Quadratic Groups

Cites Work

• Products of cyclic conjugacy classes in the groups \(\text{PSL}(n,F)\)
• Covering numbers for Chevalley groups
• The covering number of the group \(\text{PSL}_ n(F)\)
• A factorization theorem for matrices
• On the conjectures of J. Thompson and O. Ore
• Gauss decomposition with prescribed semisimple part in classical chevalley groups
• Gauss decomposition with prescribed semisimple part in chevalley groups iii: Finite twisted groups
• Gauss decomposition with prescribed semisimple part in chevalley groups II exceptional cases

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