Linear operators that strongly preserve the index of imprimitivity

DOI10.1080/03081089208818139zbMath0760.15010OpenAlexW1984852003MaRDI QIDQ4013321

Leroy B. Beasley, Norman J. Pullman

Publication date: 27 September 1992

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

Full work available at URL: http://purl.umn.edu/1735

zbMATH Keywords

digraphslinear operatorsmatrix groupirreducible matricesmatrices over semiringsindex of imprimitivity

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive matrices and their generalizations; cones of matrices (15B48) Algebraic systems of matrices (15A30)

Related Items (2)

Primitive exponent preservers ⋮ The characterization of operators preserving primitivity for matrix \(k\)-tuples

Cites Work

• Boolean-rank-preserving operators and Boolean-rank-1 spaces
• Fuzzy rank-preserving operators
• Linear mappings which preserve acyclicity properties of graphs and digraphs and applications to matrices
• Term-rank, permanent, and rook-polynomial preservers
• Nonnegative rank-preserving operators
• Linear Transformations on Algebras of Matrices
• Linear Transformations on Algebras of Matrices: The Invariance of the Elementary Symmetric Functions
• The Permanent Function
• Linear operators that strongly preserve primitivity

This page was built for publication: Linear operators that strongly preserve the index of imprimitivity