A structural characterization of realk-potent matrices

DOI10.1080/03081081003610777zbMath1237.15029OpenAlexW2089425377MaRDI QIDQ3006559

Jianzhou Liu, L. Zhu, Rong Huang

Publication date: 20 June 2011

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

Full work available at URL: https://doi.org/10.1080/03081081003610777

zbMATH Keywords

sign pattern matricesnonnegative \(k\)-potent matrices

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Sign pattern matrices (15B35)

Cites Work

• Sign \(k\)-potent sign patterns and ray \(k\)-potent ray patterns that allow \(k\)-potence
• Irreducible sign \(k\)-potent sign pattern matrices
• Nonnegative (s,t)-potent matrices
• On the period and base of a sign pattern matrix
• The structure of nonnegative cyclic matrices
• Two Results Concerning Doubly Stochastic Matrices