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Analysis of parameterized quadratic eigenvalue problems in computational acoustics with homotopic deviation theory

https://doi.org/10.1002/nla.484
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/(sici)1097-0207(19990630)45:6<765::aid-nme607>3.0.co;2-aopenalex-snapshot
The parallel computation of the smallest eigenpair of an acoustic problem with damping
inferredcites →https://doi.org/10.1007/978-1-4612-3048-9openalex-snapshot
A Primer on Spectral Theory
inferredcites →https://doi.org/10.1007/978-3-540-31852-1_2openalex-snapshot
The Dynamics of Matrix Coupling with an Application to Krylov Methods
inferredcites →https://doi.org/10.1007/978-3-642-66282-9openalex-snapshot
Perturbation Theory for Linear Operators
inferredcites →https://doi.org/10.1007/978-3-662-07296-7_14openalex-snapshot
Analytical and Numerical Methods in Acoustics
inferredcites →https://doi.org/10.1016/0041-5553(66)90033-4openalex-snapshot
Perturbation theory of non-conjugate operators
inferredcites →https://doi.org/10.1016/s0024-3795(02)00549-9openalex-snapshot
Stability of eigenvalues and spectral decompositions under linear perturbation
inferredcites →https://doi.org/10.1016/s0024-3795(02)00692-4openalex-snapshot
Effect of linear perturbation on spectra of matrices
inferredcites →https://doi.org/10.1016/s0024-3795(99)00144-5openalex-snapshot
Accuracy assessment for eigencomputations: Variety of backward errors and pseudospectra
inferredcites →https://doi.org/10.1023/a:1022302215539openalex-snapshot
Remarks on Non-Linear Spectral Perturbation
inferredcites →https://doi.org/10.1070/rm1971v026n02abeh003827openalex-snapshot
ON MATRICES DEPENDING ON PARAMETERS
inferredcites →https://doi.org/10.1137/1.9780898718157.ch5openalex-snapshot
5. Qualitative Computing
inferredcites →https://doi.org/10.1137/1.9780898719673openalex-snapshot
Lectures on Finite Precision Computations
inferredcites →https://doi.org/10.1137/1.9781611970678openalex-snapshot
Spectral Approximation of Linear Operators
inferredcites →https://doi.org/10.1137/s0036144500381988openalex-snapshot
The Quadratic Eigenvalue Problem
inferredcites →https://doi.org/10.1137/s0036144595295284openalex-snapshot
Pseudospectra of Linear Operators
inferredcites →https://doi.org/10.1137/s0895479895294666openalex-snapshot
On the Lidskii--Vishik--Lyusternik Perturbation Theory for Eigenvalues of Matrices with Arbitrary Jordan Structure
inferredcites →https://doi.org/10.1515/9783112721810openalex-snapshot
Analytic Perturbation Theory for Matrices and Operators
inferredcites →https://doi.org/10.26661/2413-6549openalex-snapshot
Computer Science and Applied Mathematics
inferredcites →https://doi.org/10.5860/choice.34-3918openalex-snapshot
Lectures on finite precision computations

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/nla.1840openalex-snapshot
A semiorthogonal generalized Arnoldi method and its variations for quadratic eigenvalue problems
inferred← citeshttps://doi.org/10.1002/nme.4919openalex-snapshot
A Padé approximate linearization algorithm for solving the quadratic eigenvalue problem with low‐rank damping
inferred← citeshttps://doi.org/10.1002/pamm.200700595openalex-snapshot
Parameter analysis of the structure of matrix pencils by homotopic deviation theory
inferred← citeshttps://doi.org/10.1007/978-3-642-00464-3_2openalex-snapshot
Some Contributions of Homotopic Deviation to the Theory of Matrix Pencils
inferred← citeshttps://doi.org/10.1016/j.cam.2017.10.003openalex-snapshot
The inexact residual iteration method for quadratic eigenvalue problem and the analysis of convergence
inferred← citeshttps://doi.org/10.1016/j.enganabound.2013.03.009openalex-snapshot
Iterative estimation of eigenmodes for acoustic cavities
inferred← citeshttps://doi.org/10.1016/j.engstruct.2012.06.023openalex-snapshot
Exact deflation in the complex modal analysis of low-rank non-classically damped structures
inferred← citeshttps://doi.org/10.1016/j.laa.2011.09.033openalex-snapshot
A note on Homotopic Deviation versus perturbation
inferred← citeshttps://doi.org/10.1016/j.laa.2016.04.005openalex-snapshot
Bounds for eigenvalues of matrix polynomials with applications to scalar polynomials
inferred← citeshttps://doi.org/10.1080/03081087.2023.2182870openalex-snapshot
Homotopic deviation theory for regular matrix pencils
inferred← citeshttps://doi.org/10.1090/mcom/3083openalex-snapshot
Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. I. Extreme eigenvalues
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Eigenvalue bounds for matrix polynomials in generalized bases
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A Deterministic Algorithm for Finding the Entire Roots or Extrema of Finitely Smooth Transcendental Univariates Arising in Mechanical Vibrations With Application to Nonlinear Eigenvalue Problems
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Avoiding Discretization Issues for Nonlinear Eigenvalue Problems
inferred← citeshttps://doi.org/10.1145/2427023.2427024openalex-snapshot
NLEVP
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A note on the boundary of the Birkhoff-James ε-orthogonality sets
inferred← citeshttps://doi.org/10.22517/23447214.20301openalex-snapshot
Un algoritmo híbrido para resolver el problema de los valores propios cuadrático
inferred← citeshttps://doi.org/10.48550/arxiv.1711.01301openalex-snapshot
Accurate Solutions of Polynomial Eigenvalue Problems
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