Schur-convex functions of the 2nd order on $\mathbb {R}^n$
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Publication:4971144
DOI10.1090/spmj/1627OpenAlexW3083027584MaRDI QIDQ4971144
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Publication date: 9 October 2020
Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/spmj/1627
system reliabilityHessian matrixSchur-convex functionSylvester criterionmajorization on lineordered allocation
Reliability, availability, maintenance, inspection in operations research (90B25) Convexity of real functions of several variables, generalizations (26B25) Forms (bilinear, sesquilinear, multilinear) (47A07) Special matrices (15B99)
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Cites Work
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- Schur-convexity of 2nd order, certain subclass of multivariate arrangement increasing functions with applications in statistics
- Optimal assembly of systems using schur functions and majorization
- Optimal Assignment of Components to Parallel-Series and Series-Parallel Systems
- Component allocation for a distributed system: reliability maximization
- Convex and Discrete Geometry
- Inequalities: theory of majorization and its applications
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