A note on the convexity of the Moore-Penrose inverse

DOI10.1016/j.laa.2017.10.016zbMath1374.15010OpenAlexW2766256566MaRDI QIDQ1680296

Kenneth Nordström

Publication date: 15 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.laa.2017.10.016

zbMATH Keywords

generalized inverseLoewner orderingJensen convexitymidpoint convexity

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Convexity of real functions in one variable, generalizations (26A51)

Related Items (1)

Matrix monotonicity and concavity of the principal pivot transform

Cites Work

• Convexity of the inverse and Moore-Penrose inverse
• G-majorization with applications to matrix orderings
• On the matrix convexity of the moore—penrose inverse and some applications
• Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses
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