Exponents of primitive companion matrices

DOI10.1216/RMJ-2019-49-5-1633zbMath1423.15032OpenAlexW2974227672MaRDI QIDQ2326037

A. Satyanarayana Reddy, Monimala Nej

Publication date: 4 October 2019

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1568880094

zbMATH Keywords

digraphcompanion matrixprimitive matrix

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Matrices of integers (15B36)

Related Items (2)

Linear recurrent cryptography: Golden-like cryptography for higher order linear recurrences ⋮ Exponents of primitive companion matrices

Cites Work

• Wielandt's proof of the exponent inequality for primitive nonnegative matrices
• On the exponent of a primitive digraph
• A theorem on regular matrices
• A note on the exponents of primitive (0,1) matrices
• On Lewin and Vitek's conjecture about the exponent set of primitive matrices
• On the exponent of a primitive, minimally strong digraph
• A system of gaps in the exponent set of primitive matrices
• The exponent set of symmetric primitive (0,1) matrices with zero trace
• Exponents of primitive companion matrices
• Gaps in the exponent set of primitive matrices
• Unzerlegbare, nicht negative Matrizen
• Note on Linear Forms
• Remark on a Recent Note on Linear Forms
• On Powers of Non-Negative Matrices
• A Linear Diophantine Problem
• The Exponent of a Primitive Matrix^*
• On the Exponent of a Primitive, Nearly Reducible Matrix
• On the Exponent of a Primitive, Nearly Reducible Matrix. II
• On a Problem of Partitions II
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