Inequalities for ranks of matrix expressions involving generalized inverses

DOI10.1186/1029-242X-2014-87zbMath1309.15032OpenAlexW2167467476WikidataQ59324246 ScholiaQ59324246MaRDI QIDQ2258740

Zhi-Ping Xiong

Publication date: 26 February 2015

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-87

zbMATH Keywords

inequalityrankgeneralized inversematrix expressiongeneralized Schur complement

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Miscellaneous inequalities involving matrices (15A45) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

• Block generalized inverses
• Upper and lower bounds for ranks of matrix expressions using generalized inverses
• Invariance properties of a triple matrix product involving generalized inverses
• More on maximal and minimal ranks of Schur complements with applications
• Extremal ranks of a quadratic matrix expression with applications
• Minimum rank completions
• Comment on range invariance of matrix products
• Ranks of Solutions of the Matrix Equation AXB = C

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