Minimum rank completions

DOI10.1080/03081089108818051zbMath0775.15001OpenAlexW1974009569MaRDI QIDQ3970529

Glen Whitney, Charles R. Johnson

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1080/03081089108818051

Mathematics Subject Classification ID

Vector spaces, linear dependence, rank, lineability (15A03)

Related Items

Biclique comparability digraphs of bipartite graphs and minimum ranks of partial matrices ⋮ The maximal and minimal ranks of matrix expression with applications ⋮ The extremal ranks of \(A_1-B_1XC_1\) subject to a pair of matrix equations ⋮ Extremal ranks of a quadratic matrix expression with applications ⋮ Inequalities for ranks of matrix expressions involving generalized inverses ⋮ Upper and lower bounds for ranks of the matrix expression \(X-XAX\) ⋮ Relations between least-squares and least-rank solutions of the matrix equation \(AXB=C\) ⋮ Completing triangular block matrices with maximal and minimal ranks ⋮ Upper and lower bounds for ranks of matrix expressions using generalized inverses

Cites Work

• The lower order of lower triangular operators and minimal rank extensions