On the rank structure of the Moore-Penrose inverse of singular \(k\)-banded matrices

DOI10.1016/J.LAA.2024.08.011MaRDI QIDQ6618709

Maribel I. Bueno, Susana Furtado

Publication date: 15 October 2024

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

zbMATH Keywords

Moore-Penrose inverserank structuresemiseparabilitygenerator representabilitystrictly \(k\)-banded matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Vector spaces, linear dependence, rank, lineability (15A03) Toeplitz, Cauchy, and related matrices (15B05)

Cites Work

• Title not available (Why is that?)
• Rank structure of generalized inverses of rectangular banded matrices
• Structures preserved by generalized inversion and Schur complementation
• Completing a matrix when certain entries of its inverse are specified
• Generalized inverses. Theory and applications.
• On band matrices and their inverses
• Inverses of Matrices $\{a_{ij}\}$ which Satisfy $a_{ij} = 0$ for $j > i+p$.
• On generalized inverses of banded matrices
• The Interplay of Ranks of Submatrices
• Generalized inverses of bordered matrices
• Singular matrices whose Moore-Penrose inverse is tridiagonal

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