Matches in SemOpenAlex for { <https://semopenalex.org/work/W4288351104> ?p ?o ?g. }
Showing items 1 to 55 of
55
with 100 items per page.
- W4288351104 abstract "Quartic eigenvalue problem $(lambda^4 A + lambda^3 B + lambda^2C + lambda D + E)x = mathbf{0}$ naturally arises e.g. when solving the Orr-Sommerfeld equation in the analysis of the stability of the {Poiseuille} flow, in theoretical analysis and experimental design of locally resonant phononic plates, modeling a robot with electric motors in the joints, calibration of catadioptric vision system, or e.g. computation of the guided and leaky modes of a planar waveguide. This paper proposes a new numerical method for the full solution (all eigenvalues and all left and right eigenvectors) that is based on quadratification, i.e. reduction of the quartic problem to a spectraly equivalent quadratic eigenvalue problem, and on a careful preprocessing to identify and deflate zero and infinite eigenvalues before the linearized quadratification is forwarded to the QZ algorithm. Numerical examples and backward error analysis confirm that the proposed algorithm is superior to the available methods." @default.
- W4288351104 created "2022-07-29" @default.
- W4288351104 creator A5051619442 @default.
- W4288351104 creator A5068311458 @default.
- W4288351104 date "2019-05-16" @default.
- W4288351104 modified "2023-10-17" @default.
- W4288351104 title "An algorithm for the complete solution of the quartic eigenvalue problem" @default.
- W4288351104 doi "https://doi.org/10.48550/arxiv.1905.07013" @default.
- W4288351104 hasPublicationYear "2019" @default.
- W4288351104 type Work @default.
- W4288351104 citedByCount "0" @default.
- W4288351104 crossrefType "posted-content" @default.
- W4288351104 hasAuthorship W4288351104A5051619442 @default.
- W4288351104 hasAuthorship W4288351104A5068311458 @default.
- W4288351104 hasBestOaLocation W42883511041 @default.
- W4288351104 hasConcept C11413529 @default.
- W4288351104 hasConcept C121332964 @default.
- W4288351104 hasConcept C129844170 @default.
- W4288351104 hasConcept C130432447 @default.
- W4288351104 hasConcept C134306372 @default.
- W4288351104 hasConcept C158693339 @default.
- W4288351104 hasConcept C202444582 @default.
- W4288351104 hasConcept C2524010 @default.
- W4288351104 hasConcept C2778113609 @default.
- W4288351104 hasConcept C33923547 @default.
- W4288351104 hasConcept C45374587 @default.
- W4288351104 hasConcept C62520636 @default.
- W4288351104 hasConceptScore W4288351104C11413529 @default.
- W4288351104 hasConceptScore W4288351104C121332964 @default.
- W4288351104 hasConceptScore W4288351104C129844170 @default.
- W4288351104 hasConceptScore W4288351104C130432447 @default.
- W4288351104 hasConceptScore W4288351104C134306372 @default.
- W4288351104 hasConceptScore W4288351104C158693339 @default.
- W4288351104 hasConceptScore W4288351104C202444582 @default.
- W4288351104 hasConceptScore W4288351104C2524010 @default.
- W4288351104 hasConceptScore W4288351104C2778113609 @default.
- W4288351104 hasConceptScore W4288351104C33923547 @default.
- W4288351104 hasConceptScore W4288351104C45374587 @default.
- W4288351104 hasConceptScore W4288351104C62520636 @default.
- W4288351104 hasLocation W42883511041 @default.
- W4288351104 hasOpenAccess W4288351104 @default.
- W4288351104 hasPrimaryLocation W42883511041 @default.
- W4288351104 hasRelatedWork W1584900688 @default.
- W4288351104 hasRelatedWork W1983430369 @default.
- W4288351104 hasRelatedWork W1994468456 @default.
- W4288351104 hasRelatedWork W2006180127 @default.
- W4288351104 hasRelatedWork W2021398421 @default.
- W4288351104 hasRelatedWork W2066882989 @default.
- W4288351104 hasRelatedWork W2091059236 @default.
- W4288351104 hasRelatedWork W2377599663 @default.
- W4288351104 hasRelatedWork W2605938412 @default.
- W4288351104 hasRelatedWork W2968062300 @default.
- W4288351104 isParatext "false" @default.
- W4288351104 isRetracted "false" @default.
- W4288351104 workType "article" @default.