Moore-Penrose inverse of set inclusion matrices

DOI10.1016/S0024-3795(00)00123-3zbMath0963.15004MaRDI QIDQ1590644

Ravindra B. Bapat

Publication date: 18 June 2001

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

zbMATH Keywords

incidence matrixeigenvaluesfinite fieldgeneralized inverseMoore-Penrose inverseset inclusion matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (7)

Intersection Matrices Revisited ⋮ A hierarchical structure of transformation semigroups with applications to probability limit measures ⋮ Probabilistic existence of regular combinatorial structures ⋮ More on the Wilson \(W_{tk}(v)\) matrices ⋮ On the inclusion matrix \(W_{23}(v)\) ⋮ On 1-factorizations of bipartite Kneser graphs ⋮ On linear combinations of generalized involutive matrices

Cites Work

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• Generalized inverses over integral domains
• Incidence matrices of t-designs
• Intersection theorems and mod \(p\) rank of inclusion matrices
• A diagonal form for the incidence matrices of \(t\)-subsets vs. \(k\)- subsets
• Inversion of incidence mappings
• Incidence Matrices of Subsets—A Rank Formula

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