Using noncommutative Gröbner bases in solving partially prescribed matrix inverse completion problems

DOI10.1016/S0024-3795(01)00382-2zbMath0993.15016arXivmath/0101245OpenAlexW2138023897MaRDI QIDQ5955656

F. Dell Kronewitter

Publication date: 25 September 2002

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

Full work available at URL: https://arxiv.org/abs/math/0101245

zbMATH Keywords

matrix completionnoncommutative Gröbner basesmatrix inverse completion

Mathematics Subject Classification ID

Inverse problems in linear algebra (15A29) Computational aspects of associative rings (general theory) (16Z05)

Related Items

Formal proofs of operator identities by a single formal computation ⋮ Gröbner finite path algebras.

Uses Software

• Mathematica
• NCAlgebra
• NCGB
• Opal

Cites Work

• Computer assistance for ``discovering formulas in system engineering and operator theory
• Completing a block diagonal matrix with a partially prescribed inverse
• Opal: A system for computing noncommutative gröbner bases
• Matrix inequalities
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