A local approach to matrix equivalence

DOI10.1016/0024-3795(77)90005-2zbMath0386.15009OpenAlexW2004821961MaRDI QIDQ1249626

Larry J. Gerstein

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0024-3795(77)90005-2

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Principal ideal rings (13F10) Canonical forms, reductions, classification (15A21)

Related Items (5)

On the Smith normal form of the least common multiple of matrices from some class of matrices ⋮ On interdependence between invariant factors of a block-triangular matrix and its diagonal blocks ⋮ Modules ⋮ Recognizing badly presented \(Z\)-modules ⋮ Relating \(p\)-adic eigenvalues and the local Smith normal form

Cites Work

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• The probability theory of additive arithmetic functions
• Matrices and pairs of modules
• Almost diagonal matrices over Dedekind domains
• A property of equivalence
• The Smith normal form of a partitioned matrix
• A Multiplicative Property of Invariant Factors
• Algorithms for Hermite and Smith Normal Matrices and Linear Diophantine Equations
• Elementary Divisors and Modules

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