The resolvent average for positive semidefinite matrices

DOI10.1016/j.laa.2009.11.028zbMath1191.15024arXiv0910.3705OpenAlexW2153622130MaRDI QIDQ2267407

Sarah M. Moffat, Heinz H. Bauschke, Shawn Xianfu Wang

Publication date: 1 March 2010

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

Full work available at URL: https://arxiv.org/abs/0910.3705

zbMATH Keywords

convex functionsubdifferentialarithmetic meanLöwner partial orderingpositive semidefinite matrixharmonic meanFenchel conjugateproximal averageresolvent averageharmonic averagearithmetic average

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45) Operator means involving linear operators, shorted linear operators, etc. (47A64)

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