On the computation of elementary divisors of integer matrices

DOI10.1006/jsco.2000.0430zbMath1017.65037OpenAlexW2083180747MaRDI QIDQ1599534

Frank Lübeck

Publication date: 11 June 2002

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/83f1abc4d1277f00ab902e57b931bbf7ad527525

zbMATH Keywords

numerical examplesinteger matriceselementary divisorssemi-modular algorithms

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Canonical forms, reductions, classification (15A21)

Related Items

Linearly independent split systems ⋮ Fraction-free algorithm for the computation of diagonal forms matrices over Ore domains using Gröbner bases ⋮ Smith Normal Form of Augmented Degree Matrix and Rational Points on Toric Hypersurface ⋮ Smith normal form of augmented degree matrix and its applications

Uses Software

• GAP
• Magma
• EDIM

Cites Work

• Exact solution of linear equations using p-adic expansions
• Recognizing badly presented \(Z\)-modules
• The Magma algebra system. I: The user language
• Integer matrix diagonalization
• Extended GCD and Hermite Normal Form Algorithms via Lattice Basis Reduction
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item