Matches in SemOpenAlex for { <https://semopenalex.org/work/W3126671243> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W3126671243 abstract "Abstract Toeplitz matrices are typically non-Hermitian and hence they evade the well-elaborated machinery one can employ in the Hermitian case. In a pioneering paper of 1960, Palle Schmidt and Frank Spitzer showed that the eigenvalues of large banded Toeplitz matrices cluster along a certain limiting set which is the union of finitely many closed analytic arcs. Finding this limiting set nevertheless remains a challenge. We here present an algorithm in the spirit of Richard Beam and Robert Warming that reduces testing $$O(N^2)$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>O</mml:mi> <mml:mo>(</mml:mo> <mml:msup> <mml:mi>N</mml:mi> <mml:mn>2</mml:mn> </mml:msup> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> points in the plane for membership in the limiting set by testing only O ( N ) points along a one-dimensional curve. For tetradiagonal Toeplitz matrices, we describe all types of the limiting sets, we classify their exceptional points, and we establish asymptotic formulas for the analytic arcs near their endpoints." @default.
- W3126671243 created "2021-02-15" @default.
- W3126671243 creator A5034826106 @default.
- W3126671243 creator A5049236277 @default.
- W3126671243 creator A5058542944 @default.
- W3126671243 creator A5075931791 @default.
- W3126671243 date "2021-02-01" @default.
- W3126671243 modified "2023-10-17" @default.
- W3126671243 title "Eigenvalue Clusters of Large Tetradiagonal Toeplitz Matrices" @default.
- W3126671243 cites W149522324 @default.
- W3126671243 cites W1512758784 @default.
- W3126671243 cites W1550150926 @default.
- W3126671243 cites W1553893319 @default.
- W3126671243 cites W1577300772 @default.
- W3126671243 cites W1964976010 @default.
- W3126671243 cites W1973409971 @default.
- W3126671243 cites W2017732348 @default.
- W3126671243 cites W2026719274 @default.
- W3126671243 cites W2048683800 @default.
- W3126671243 cites W2087009836 @default.
- W3126671243 cites W2089598668 @default.
- W3126671243 cites W2115608667 @default.
- W3126671243 cites W2117919754 @default.
- W3126671243 cites W2735529947 @default.
- W3126671243 cites W4256359184 @default.
- W3126671243 cites W2996345994 @default.
- W3126671243 doi "https://doi.org/10.1007/s00020-020-02619-z" @default.
- W3126671243 hasPublicationYear "2021" @default.
- W3126671243 type Work @default.
- W3126671243 sameAs 3126671243 @default.
- W3126671243 citedByCount "5" @default.
- W3126671243 countsByYear W31266712432021 @default.
- W3126671243 countsByYear W31266712432022 @default.
- W3126671243 countsByYear W31266712432023 @default.
- W3126671243 crossrefType "journal-article" @default.
- W3126671243 hasAuthorship W3126671243A5034826106 @default.
- W3126671243 hasAuthorship W3126671243A5049236277 @default.
- W3126671243 hasAuthorship W3126671243A5058542944 @default.
- W3126671243 hasAuthorship W3126671243A5075931791 @default.
- W3126671243 hasBestOaLocation W31266712431 @default.
- W3126671243 hasConcept C11413529 @default.
- W3126671243 hasConcept C114614502 @default.
- W3126671243 hasConcept C121332964 @default.
- W3126671243 hasConcept C127413603 @default.
- W3126671243 hasConcept C147710293 @default.
- W3126671243 hasConcept C158693339 @default.
- W3126671243 hasConcept C188198153 @default.
- W3126671243 hasConcept C202444582 @default.
- W3126671243 hasConcept C33923547 @default.
- W3126671243 hasConcept C62520636 @default.
- W3126671243 hasConcept C78519656 @default.
- W3126671243 hasConcept C94940 @default.
- W3126671243 hasConceptScore W3126671243C11413529 @default.
- W3126671243 hasConceptScore W3126671243C114614502 @default.
- W3126671243 hasConceptScore W3126671243C121332964 @default.
- W3126671243 hasConceptScore W3126671243C127413603 @default.
- W3126671243 hasConceptScore W3126671243C147710293 @default.
- W3126671243 hasConceptScore W3126671243C158693339 @default.
- W3126671243 hasConceptScore W3126671243C188198153 @default.
- W3126671243 hasConceptScore W3126671243C202444582 @default.
- W3126671243 hasConceptScore W3126671243C33923547 @default.
- W3126671243 hasConceptScore W3126671243C62520636 @default.
- W3126671243 hasConceptScore W3126671243C78519656 @default.
- W3126671243 hasConceptScore W3126671243C94940 @default.
- W3126671243 hasIssue "1" @default.
- W3126671243 hasLocation W31266712431 @default.
- W3126671243 hasOpenAccess W3126671243 @default.
- W3126671243 hasPrimaryLocation W31266712431 @default.
- W3126671243 hasRelatedWork W110533479 @default.
- W3126671243 hasRelatedWork W1998860845 @default.
- W3126671243 hasRelatedWork W2047814828 @default.
- W3126671243 hasRelatedWork W2048798484 @default.
- W3126671243 hasRelatedWork W2081990255 @default.
- W3126671243 hasRelatedWork W2951180937 @default.
- W3126671243 hasRelatedWork W3183252893 @default.
- W3126671243 hasRelatedWork W4248194227 @default.
- W3126671243 hasRelatedWork W4313640449 @default.
- W3126671243 hasRelatedWork W4361002216 @default.
- W3126671243 hasVolume "93" @default.
- W3126671243 isParatext "false" @default.
- W3126671243 isRetracted "false" @default.
- W3126671243 magId "3126671243" @default.
- W3126671243 workType "article" @default.