Ranks of permutative matrices

DOI10.1515/spma-2016-0022zbMath1338.05030OpenAlexW2420077039MaRDI QIDQ299001

Charles R. Johnson, Yimeng Zhang, Xiaonan Hu, Caroline E. Davis

Publication date: 22 June 2016

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/spma-2016-0022

zbMATH Keywords

Latin squarepolynomial matrix\(h, k, g\)-partition\(h, k\)-partitionidentically singularpermutative matrixrow grouping

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items

Permutative universal realizability, On the rank of a Latin tensor, Realizable lists via the spectra of structured matrices, Realizable lists on a class of nonnegative matrices, An ensemble of high rank matrices arising from tournaments

Cites Work

• On the similarity classes among products of \(m\) nonsingular matrices in various orders
• Realizing Suleimanova-type Spectra via Permutative Matrices
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