Convexity of the inverse and Moore-Penrose inverse

DOI10.1016/j.laa.2010.11.023zbMath1215.15004OpenAlexW2062432742MaRDI QIDQ627952

Kenneth Nordström

Publication date: 4 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.11.023

zbMATH Keywords

positive definite matricesindefinite inner productMoore-Penrose inversereproducing kernel Hilbert spacematrix meanextremal representationmatrix-mean-type inequalitiesstrongly convex matrix function

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Convexity of real functions in one variable, generalizations (26A51)

Related Items (6)

A note on the convexity of the Moore-Penrose inverse ⋮ Differential geometry for the optimal design of the contingent valuation method ⋮ GHZ states as near-optimal states for reference frame alignment ⋮ Matrix monotonicity and concavity of the principal pivot transform ⋮ A distributed continuous-time modified Newton-Raphson algorithm ⋮ A Study of Convex Convex-Composite Functions via Infimal Convolution with Applications

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