Structure ranks of matrices

DOI10.1016/0024-3795(93)90324-HzbMath0766.15003MaRDI QIDQ1208303

Miroslav Fiedler

Publication date: 16 May 1993

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

zbMATH Keywords

off-diagonal rankstrictly-upper-block-triangular rankstructure ranks

Mathematics Subject Classification ID

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

Related Items

A note on the nullity theorem ⋮ More on structure-ranks of matrices ⋮ Two results on basic oscillatory matrices ⋮ Rank Bounds for Approximating Gaussian Densities in the Tensor-Train Format ⋮ On the structure rank of a class of structure matrices ⋮ Some inheritance properties for complementary basic matrices ⋮ A note on companion matrices ⋮ Basic matrices. ⋮ Symmetrization of principal minors and cycle-sums ⋮ Generalized Hessenberg matrices. ⋮ AQZ-method based on semiseparable matrices ⋮ Intrinsic products and factorizations of matrices ⋮ Suborthogonality and orthocentricity of matrices ⋮ A new characterization of generalized complementary basic matrices ⋮ Complementary basic matrices ⋮ Direct approach to the band completion problem ⋮ Generalized oscillatory matrices

Cites Work

• Completing a matrix when certain entries of its inverse are specified
• Rank-preserving diagonal completions of a matrix
• Determination of the inertia of a partitioned Hermitian matrix

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