Noncommutativity makes determinants hard

DOI10.1016/j.ic.2014.12.010zbMath1327.68124OpenAlexW2053708783MaRDI QIDQ2347802

Markus Bläser

Publication date: 9 June 2015

Published in: Information and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ic.2014.12.010

zbMATH Keywords

determinantpermanentcounting complexityassociative algebras

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Determinants, permanents, traces, other special matrix functions (15A15) Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.) (68Q17)

Related Items (2)

Unnamed Item ⋮ On the hardness of the noncommutative determinant

Cites Work

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• Determinant: Old Algorithms, New Insights
• Polynomial Time Algorithms to Approximate Permanents and Mixed Discriminants Within a Simply Exponential Factor
• Almost settling the hardness of noncommutative determinant
• Complexity of the Cover Polynomial
• On the hardness of the noncommutative determinant
• Clifford algebras and approximating the permanent

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