FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2037064199> ?p ?o ?g. }

• W2037064199 endingPage "724" @default.
• W2037064199 startingPage "699" @default.
• W2037064199 abstract "This work concerns the global minimization of a prescribed eigenvalue or a weighted sum of prescribed eigenvalues of a Hermitian matrix-valued function depending on its parameters analytically in a box. We describe how the analytical properties of eigenvalue functions can be put into use to derive piece-wise quadratic functions that underestimate the eigenvalue functions. These piece-wise quadratic under-estimators lead us to a global minimization algorithm, originally due to Breiman and Cutler. We prove the global convergence of the algorithm, and show that it can be effectively used for the minimization of extreme eigenvalues, e.g., the largest eigenvalue or the sum of the largest specified number of eigenvalues. This is particularly facilitated by the analytical formulas for the first derivatives of eigenvalues, as well as analytical lower bounds on the second derivatives that can be deduced for extreme eigenvalue functions. The applications that we have in mind also include the ${rm H}_infty$-norm of a linear dynamical system, numerical radius, distance to uncontrollability and various other non-convex eigenvalue optimization problems, for which, generically, the eigenvalue function involved is simple at all points." @default.
• W2037064199 created "2016-06-24" @default.
• W2037064199 creator A5020193827 @default.
• W2037064199 creator A5024885694 @default.
• W2037064199 creator A5057209882 @default.
• W2037064199 date "2014-01-01" @default.
• W2037064199 modified "2023-10-16" @default.
• W2037064199 title "Numerical Optimization of Eigenvalues of Hermitian Matrix Functions" @default.
• W2037064199 cites W1420250989 @default.
• W2037064199 cites W1504150700 @default.
• W2037064199 cites W1981395881 @default.
• W2037064199 cites W1982604350 @default.
• W2037064199 cites W1988732861 @default.
• W2037064199 cites W2003215511 @default.
• W2037064199 cites W2007179152 @default.
• W2037064199 cites W2007405464 @default.
• W2037064199 cites W2011934236 @default.
• W2037064199 cites W2022150446 @default.
• W2037064199 cites W2025806673 @default.
• W2037064199 cites W2026299065 @default.
• W2037064199 cites W2032733248 @default.
• W2037064199 cites W2033852356 @default.
• W2037064199 cites W2039140742 @default.
• W2037064199 cites W2042882259 @default.
• W2037064199 cites W2045376744 @default.
• W2037064199 cites W2047917018 @default.
• W2037064199 cites W2054155441 @default.
• W2037064199 cites W2060224784 @default.
• W2037064199 cites W2081212476 @default.
• W2037064199 cites W2087462091 @default.
• W2037064199 cites W2092611373 @default.
• W2037064199 cites W2100004457 @default.
• W2037064199 cites W2107530185 @default.
• W2037064199 cites W2113741278 @default.
• W2037064199 cites W2134046186 @default.
• W2037064199 cites W2144787788 @default.
• W2037064199 cites W2151177951 @default.
• W2037064199 cites W2164349943 @default.
• W2037064199 cites W2166325531 @default.
• W2037064199 cites W2178909929 @default.
• W2037064199 cites W2482269653 @default.
• W2037064199 cites W2962898795 @default.
• W2037064199 cites W4242975128 @default.
• W2037064199 cites W4253016148 @default.
• W2037064199 cites W4294571370 @default.
• W2037064199 cites W594391557 @default.
• W2037064199 doi "https://doi.org/10.1137/130933472" @default.
• W2037064199 hasPublicationYear "2014" @default.
• W2037064199 type Work @default.
• W2037064199 sameAs 2037064199 @default.
• W2037064199 citedByCount "48" @default.
• W2037064199 countsByYear W20370641992012 @default.
• W2037064199 countsByYear W20370641992013 @default.
• W2037064199 countsByYear W20370641992014 @default.
• W2037064199 countsByYear W20370641992015 @default.
• W2037064199 countsByYear W20370641992016 @default.
• W2037064199 countsByYear W20370641992017 @default.
• W2037064199 countsByYear W20370641992018 @default.
• W2037064199 countsByYear W20370641992019 @default.
• W2037064199 countsByYear W20370641992020 @default.
• W2037064199 countsByYear W20370641992021 @default.
• W2037064199 countsByYear W20370641992022 @default.
• W2037064199 countsByYear W20370641992023 @default.
• W2037064199 crossrefType "journal-article" @default.
• W2037064199 hasAuthorship W2037064199A5020193827 @default.
• W2037064199 hasAuthorship W2037064199A5024885694 @default.
• W2037064199 hasAuthorship W2037064199A5057209882 @default.
• W2037064199 hasBestOaLocation W20370641992 @default.
• W2037064199 hasConcept C106487976 @default.
• W2037064199 hasConcept C121332964 @default.
• W2037064199 hasConcept C129844170 @default.
• W2037064199 hasConcept C134306372 @default.
• W2037064199 hasConcept C158693339 @default.
• W2037064199 hasConcept C159985019 @default.
• W2037064199 hasConcept C192562407 @default.
• W2037064199 hasConcept C192702615 @default.
• W2037064199 hasConcept C202444582 @default.
• W2037064199 hasConcept C2524010 @default.
• W2037064199 hasConcept C28826006 @default.
• W2037064199 hasConcept C33923547 @default.
• W2037064199 hasConcept C46865736 @default.
• W2037064199 hasConcept C62520636 @default.
• W2037064199 hasConcept C94940 @default.
• W2037064199 hasConceptScore W2037064199C106487976 @default.
• W2037064199 hasConceptScore W2037064199C121332964 @default.
• W2037064199 hasConceptScore W2037064199C129844170 @default.
• W2037064199 hasConceptScore W2037064199C134306372 @default.
• W2037064199 hasConceptScore W2037064199C158693339 @default.
• W2037064199 hasConceptScore W2037064199C159985019 @default.
• W2037064199 hasConceptScore W2037064199C192562407 @default.
• W2037064199 hasConceptScore W2037064199C192702615 @default.
• W2037064199 hasConceptScore W2037064199C202444582 @default.
• W2037064199 hasConceptScore W2037064199C2524010 @default.
• W2037064199 hasConceptScore W2037064199C28826006 @default.
• W2037064199 hasConceptScore W2037064199C33923547 @default.
• W2037064199 hasConceptScore W2037064199C46865736 @default.
• W2037064199 hasConceptScore W2037064199C62520636 @default.
• W2037064199 hasConceptScore W2037064199C94940 @default.

• next