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On the numerical solution of nonlinear eigenvalue problems
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-3-0348-5579-2_2openalex-snapshot
A Review of Numerical Methods for Eigenvalue Problems Nonlinear in the Parameter
inferredcites →https://doi.org/10.1007/bf00277446openalex-snapshot
A generalised rayleigh quotient iteration for lambda-matrices
inferredcites →https://doi.org/10.1007/bf01396310openalex-snapshot
Realistic error bounds for a simple eigenvalue and its associated eigenvector
inferredcites →https://doi.org/10.1007/bf01637334openalex-snapshot
Recent developments in structural sensitivity analysis
inferredcites →https://doi.org/10.1007/bf02307713openalex-snapshot
The generalized eigenvalue problem and acoustic surface wave computations
inferredcites →https://doi.org/10.1016/c2013-0-01959-7openalex-snapshot
Lambda-Matrices and Vibrating Systems
inferredcites →https://doi.org/10.1017/s000497270000589xopenalex-snapshot
Deferred correction for the ordinary differential equation eigenvalue problem
inferredcites →https://doi.org/10.1017/s0334270000002812openalex-snapshot
Deferred correction for the integral equation eigenvalue problem
inferredcites →https://doi.org/10.1093/imamat/20.4.443openalex-snapshot
Generalized Eigenvalue Problems for Rectangular Matrices
inferredcites →https://doi.org/10.1098/rspa.1963.0021openalex-snapshot
Some applications of the Newton—Raphson method to non-linear matrix problems
inferredcites →https://doi.org/10.1137/0614061openalex-snapshot
Derivatives of Eigenvalues and Eigenvectors of Matrix Functions
inferredcites →https://doi.org/10.1137/0710059openalex-snapshot
Algorithms for the Nonlinear Eigenvalue Problem
inferredcites →https://doi.org/10.1137/0721012openalex-snapshot
Characterization and Computation of Generalized Turning Points
inferredcites →https://doi.org/10.1137/0722055openalex-snapshot
Residual Inverse Iteration for the Nonlinear Eigenvalue Problem
inferredcites →https://doi.org/10.1137/0731028openalex-snapshot
Matrices with Rank Deficiency Two in Eigenvalue Problems and Dynamical Systems
inferredcites →https://doi.org/10.1137/0911040openalex-snapshot
Bordered Matrices, Singular Systems, and Ergodic Markov Chains
inferredcites →https://doi.org/10.1137/1021052openalex-snapshot
Inverse Iteration, Ill-Conditioned Equations and Newton’s Method
inferredcites →https://doi.org/10.1515/rnam.1989.4.1.19openalex-snapshot
Spectral problems for matrix pencils. Methods and algorithms. III.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Calculation of the eigenvalue of a differential equation under non-linear parameter-dependence of its coefficients
inferred← citeshttps://doi.org/10.1002/1099-1506(200005)7:4<151::aid-nla191>3.0.co;2-mopenalex-snapshot
Iterative computation of derivatives of repeated eigenvalues and the corresponding eigenvectors
inferred← citeshttps://doi.org/10.1002/nla.2127openalex-snapshot
Methods for solving underdetermined systems
inferred← citeshttps://doi.org/10.1002/nla.2355openalex-snapshot
A perturbation‐based method for a parameter‐dependent nonlinear eigenvalue problem
inferred← citeshttps://doi.org/10.1006/mssp.2001.1439openalex-snapshot
POLE ASSIGNMENT FOR SECOND-ORDER SYSTEMS
inferred← citeshttps://doi.org/10.1007/978-3-0348-8181-4_2openalex-snapshot
List of Publications of Peter Lancaster
inferred← citeshttps://doi.org/10.1007/978-3-0348-8181-4_6openalex-snapshot
Iterative Computation of Higher Derivatives of Repeated Eigenvalues and the Corresponding Eigenvectors
inferred← citeshttps://doi.org/10.1007/978-3-642-30316-6_10openalex-snapshot
Convergence Orders of Iterative Methods for Nonlinear Eigenvalue Problems
inferred← citeshttps://doi.org/10.1007/bf02684401openalex-snapshot
Discrete least-squares technique for eigenvalues. Part I: The one-dimensional case
inferred← citeshttps://doi.org/10.1007/s002110050259openalex-snapshot
Numerical methods for finding multiple eigenvalues of matrices depending on parameters
inferred← citeshttps://doi.org/10.1016/j.amc.2003.10.005openalex-snapshot
On a class of alternating coefficient matrices quadratic eigenvalue problem
inferred← citeshttps://doi.org/10.1016/j.amc.2013.06.004openalex-snapshot
Partial derivatives of the eigen-triplet of the quadratic eigenvalue problem depending on several parameters
inferred← citeshttps://doi.org/10.1016/j.jcp.2004.09.016openalex-snapshot
Photonic band structure calculations using nonlinear eigenvalue techniques
inferred← citeshttps://doi.org/10.1016/s0096-3003(96)00178-6openalex-snapshot
A method for the numerical computation of Hopf bifurcation
inferred← citeshttps://doi.org/10.1016/s0168-9274(01)00043-5openalex-snapshot
Iterative algorithms for nonlinear ordinary differential eigenvalue problems
inferred← citeshttps://doi.org/10.1017/jfm.2011.260openalex-snapshot
Linear stability analysis of capillary instabilities for concentric cylindrical shells
inferred← citeshttps://doi.org/10.1017/s0334270000007499openalex-snapshot
A nonmonotone inexact Newton algorithm for nonlinear systems of equations
inferred← citeshttps://doi.org/10.1017/s0962492917000034openalex-snapshot
The nonlinear eigenvalue problem
inferred← citeshttps://doi.org/10.1051/matecconf/202032903009openalex-snapshot
Eigenvibrations of a beam with two mechanical resonators attached to the ends
inferred← citeshttps://doi.org/10.1051/matecconf/202032903030openalex-snapshot
Finite difference approximation of eigenvibrations of a bar with oscillator
inferred← citeshttps://doi.org/10.1093/imanum/drl042openalex-snapshot
Exponentially convergent parallel algorithm for nonlinear eigenvalue problems
inferred← citeshttps://doi.org/10.1103/physrevfluids.5.083904openalex-snapshot
Linear analysis of dewetting instability in multilayer planar sheets for composite nanostructures
inferred← citeshttps://doi.org/10.1137/120879841openalex-snapshot
Computing Derivatives of Repeated Eigenvalues and Corresponding Eigenvectors of Quadratic Eigenvalue Problems
inferred← citeshttps://doi.org/10.1137/s0036144500381988openalex-snapshot
The Quadratic Eigenvalue Problem
inferred← citeshttps://doi.org/10.1137/s0895479896304332openalex-snapshot
Computation of Derivatives of Repeated Eigenvalues and the Corresponding Eigenvectors of Symmetric Matrix Pencils
inferred← citeshttps://doi.org/10.14279/depositonce-1871openalex-snapshot
Nonlinear Eigenvalue Problems: Newton-type Methods and Nonlinear Rayleigh Functionals
inferred← citeshttps://doi.org/10.1553/etna_vol55s1openalex-snapshot
A survey on variational characterizations for nonlinear eigenvalue problems
inferred← citeshttps://doi.org/10.2139/ssrn.5362632openalex-snapshot
Sensitivity-Aware Neural Solvers for Nonlinear Eigenvalue Problems in Data-Constrained Systems
inferred← citeshttps://doi.org/10.2514/1.20049openalex-snapshot
Calculation of Eigensolution Derivatives for Nonviscously Damped Systems
inferred← citeshttps://doi.org/10.4208/jcm.1004-m0009openalex-snapshot
On Smooth LU Decompositions with Applications to Solutions of Nonlinear Eigenvalue Problems
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