Matches in SemOpenAlex for { <https://semopenalex.org/work/W4307299077> ?p ?o ?g. }
Showing items 1 to 74 of
74
with 100 items per page.
- W4307299077 endingPage "4412" @default.
- W4307299077 startingPage "4391" @default.
- W4307299077 abstract "Let be a symmetric tridiagonal matrix with diagonal elements and off‐diagonal elements one, and be a diagonal matrix with the first diagonal elements being plus ones and the last being minus ones. Davies and Levitin studied the eigenvalues of a linear pencil as approaches to infinity. It was conjectured by DL that for any the non‐real eigenvalues of satisfy both and . The conjecture has been verified numerically for a wide range of and , but so far the full proof is missing. The purpose of the paper is to support this conjecture with a partial proof and several numerical experiments which allow to get some insight in the behaviour of the non‐real eigenvalues of . We provide a proof of the conjecture for , and also in the case where . In addition, numerics indicate that some phenomena may occur for more general linear pencils." @default.
- W4307299077 created "2022-10-31" @default.
- W4307299077 creator A5020614114 @default.
- W4307299077 date "2022-10-24" @default.
- W4307299077 modified "2023-10-12" @default.
- W4307299077 title "On a conjecture of Davies and Levitin" @default.
- W4307299077 cites W1949069070 @default.
- W4307299077 cites W1970606629 @default.
- W4307299077 cites W2028773654 @default.
- W4307299077 cites W2101221078 @default.
- W4307299077 cites W2783664349 @default.
- W4307299077 cites W4256201752 @default.
- W4307299077 doi "https://doi.org/10.1002/mma.8766" @default.
- W4307299077 hasPublicationYear "2022" @default.
- W4307299077 type Work @default.
- W4307299077 citedByCount "0" @default.
- W4307299077 crossrefType "journal-article" @default.
- W4307299077 hasAuthorship W4307299077A5020614114 @default.
- W4307299077 hasBestOaLocation W43072990772 @default.
- W4307299077 hasConcept C106487976 @default.
- W4307299077 hasConcept C113313756 @default.
- W4307299077 hasConcept C114614502 @default.
- W4307299077 hasConcept C121332964 @default.
- W4307299077 hasConcept C130367717 @default.
- W4307299077 hasConcept C134306372 @default.
- W4307299077 hasConcept C134949993 @default.
- W4307299077 hasConcept C158693339 @default.
- W4307299077 hasConcept C159985019 @default.
- W4307299077 hasConcept C192562407 @default.
- W4307299077 hasConcept C202444582 @default.
- W4307299077 hasConcept C2524010 @default.
- W4307299077 hasConcept C2780990831 @default.
- W4307299077 hasConcept C33923547 @default.
- W4307299077 hasConcept C51647924 @default.
- W4307299077 hasConcept C62520636 @default.
- W4307299077 hasConcept C7321624 @default.
- W4307299077 hasConceptScore W4307299077C106487976 @default.
- W4307299077 hasConceptScore W4307299077C113313756 @default.
- W4307299077 hasConceptScore W4307299077C114614502 @default.
- W4307299077 hasConceptScore W4307299077C121332964 @default.
- W4307299077 hasConceptScore W4307299077C130367717 @default.
- W4307299077 hasConceptScore W4307299077C134306372 @default.
- W4307299077 hasConceptScore W4307299077C134949993 @default.
- W4307299077 hasConceptScore W4307299077C158693339 @default.
- W4307299077 hasConceptScore W4307299077C159985019 @default.
- W4307299077 hasConceptScore W4307299077C192562407 @default.
- W4307299077 hasConceptScore W4307299077C202444582 @default.
- W4307299077 hasConceptScore W4307299077C2524010 @default.
- W4307299077 hasConceptScore W4307299077C2780990831 @default.
- W4307299077 hasConceptScore W4307299077C33923547 @default.
- W4307299077 hasConceptScore W4307299077C51647924 @default.
- W4307299077 hasConceptScore W4307299077C62520636 @default.
- W4307299077 hasConceptScore W4307299077C7321624 @default.
- W4307299077 hasIssue "4" @default.
- W4307299077 hasLocation W43072990771 @default.
- W4307299077 hasLocation W43072990772 @default.
- W4307299077 hasOpenAccess W4307299077 @default.
- W4307299077 hasPrimaryLocation W43072990771 @default.
- W4307299077 hasRelatedWork W1525824672 @default.
- W4307299077 hasRelatedWork W1529195008 @default.
- W4307299077 hasRelatedWork W1970479548 @default.
- W4307299077 hasRelatedWork W2034395027 @default.
- W4307299077 hasRelatedWork W2070323717 @default.
- W4307299077 hasRelatedWork W2924468784 @default.
- W4307299077 hasRelatedWork W2949670824 @default.
- W4307299077 hasRelatedWork W3157489721 @default.
- W4307299077 hasRelatedWork W38983538 @default.
- W4307299077 hasRelatedWork W4253735856 @default.
- W4307299077 hasVolume "46" @default.
- W4307299077 isParatext "false" @default.
- W4307299077 isRetracted "false" @default.
- W4307299077 workType "article" @default.