Generalized principal pivot transform and its inheritance properties

DOI10.1007/s41478-022-00399-wzbMath1497.15008arXiv2108.05883OpenAlexW3189506634MaRDI QIDQ2172730

K. Kamaraj, P. Sam Johnson, Sachin Manjunath Naik

Publication date: 16 September 2022

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.05883

zbMATH Keywords

Moore-Penrose inversegeneralized principal pivot transform

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Positive matrices and their generalizations; cones of matrices (15B48) Linear transformations, semilinear transformations (15A04)

Related Items (1)

Matrix monotonicity and concavity of the principal pivot transform

Cites Work

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• Corrigendum to ``Generalized principal pivot transform
• Tucker's theorem for almost skew-symmetric matrices and a proof of Farkas' lemma
• Generalized inverses. Theory and applications.
• Almost skew-symmetric matrices
• Principal pivot transforms: Properties and applications
• Generalized principal pivot transform
• Pseudo Schur Complements, Pseudo Principal Pivot Transforms and Their Inheritance Properties
• A class of singular Ro-matrices and extensions to semidefinite linear complementarity problems
• P_†-matrices: a generalization ofP-matrices

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