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Application of the Lanczos algorithm for solving the linear systems that occur in continuation problems

https://doi.org/10.1002/nla.306
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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)1099-1506(199701/02)4:1<23::aid-nla96>3.0.co;2-dopenalex-snapshot
Lanczos-type Methods for Continuation Problems
inferredcites →https://doi.org/10.1002/nme.1620290110openalex-snapshot
A new implementation of the Lanczos method in linear problems
inferredcites →https://doi.org/10.1007/bf01931663openalex-snapshot
Block elimination with one refinement solves bordered linear systems accurately
inferredcites →https://doi.org/10.1007/pl00001487openalex-snapshot
Symmetry and scaling properties of the von Kármán equations
inferredcites →https://doi.org/10.1016/0024-3795(80)90247-5openalex-snapshot
The block conjugate gradient algorithm and related methods
inferredcites →https://doi.org/10.1016/0024-3795(80)90248-7openalex-snapshot
A new look at the Lanczos algorithm for solving symmetric systems of linear equations
inferredcites →https://doi.org/10.1016/0024-3795(84)90025-9openalex-snapshot
Analysis of the symmetric Lanczos algorithm with reorthogonalization methods
inferredcites →https://doi.org/10.1016/0024-3795(95)00093-3openalex-snapshot
Convergence properties of block GMRES and matrix polynomials
inferredcites →https://doi.org/10.1016/j.apnum.2004.06.003openalex-snapshot
Iterative solution methods
inferredcites →https://doi.org/10.1016/s0377-0427(00)00611-7openalex-snapshot
Tracing the buckling of a rectangular plate with the Block GMRES method
inferredcites →https://doi.org/10.1016/s0898-1221(99)00097-8openalex-snapshot
Conjugate gradient type methods for semilinear elliptic problems with symmetry
inferredcites →https://doi.org/10.1016/s1570-8659(09)70001-8openalex-snapshot
Handbook of Numerical Analysis
inferredcites →https://doi.org/10.1016/s1570-8659(97)80002-6openalex-snapshot
Numerical path following
inferredcites →https://doi.org/10.1017/cbo9780511624100openalex-snapshot
Iterative Solution Methods
inferredcites →https://doi.org/10.1023/a:1019119126672openalex-snapshot
A continuation–domain decomposition algorithm for bifurcation problems
inferredcites →https://doi.org/10.1090/s0025-5718-1984-0725988-xopenalex-snapshot
The Lanczos Algorithm With Partial Reorthogonalization
inferredcites →https://doi.org/10.1090/s0025-5718-1987-0878697-3openalex-snapshot
On the Lánczos method for solving symmetric linear systems with several right-hand sides
inferredcites →https://doi.org/10.1109/8.43571openalex-snapshot
A conjugate gradient algorithm for the treatment of multiple incident electromagnetic fields
inferredcites →https://doi.org/10.1137/0612034openalex-snapshot
Stable Solvers and Block Elimination for Bordered Systems
inferredcites →https://doi.org/10.1137/0801016openalex-snapshot
Experiments with Conjugate Gradient Algorithms for Homotopy Curve Tracking
inferredcites →https://doi.org/10.1137/0913002openalex-snapshot
Preconditioned Iterative Methods for Homotopy Curve Tracking
inferredcites →https://doi.org/10.1137/0916053openalex-snapshot
An Iterative Method for Nonsymmetric Systems with Multiple Right-Hand Sides
inferredcites →https://doi.org/10.1137/1.9780898718003openalex-snapshot
Iterative Methods for Sparse Linear Systems
inferredcites →https://doi.org/10.1137/1.9780898719543openalex-snapshot
Numerical Methods for Bifurcations of Dynamical Equilibria
inferredcites →https://doi.org/10.1137/1.9781611971163openalex-snapshot
The Symmetric Eigenvalue Problem
inferredcites →https://doi.org/10.1137/s0895479897330194openalex-snapshot
An Augmented Conjugate Gradient Method for Solving Consecutive Symmetric Positive Definite Linear Systems
inferredcites →https://doi.org/10.1137/s1064827594273067openalex-snapshot
Analysis of Projection Methods for Solving Linear Systems with Multiple Right-Hand Sides
inferredcites →https://doi.org/10.1142/9789814350914_0009openalex-snapshot
SYMMETRIC EIGENVALUE PROBLEMS
inferredcites →https://doi.org/10.1145/279232.279235openalex-snapshot
Algorithm 777: HOMPACK90
inferredcites →https://doi.org/10.2307/2007834openalex-snapshot
On the Lanczos Method for Solving Symmetric Linear Systems with Several Right-Hand Sides

What points at this work

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

inferred← citeshttps://doi.org/10.1002/qj.2150openalex-snapshot
B‐preconditioned minimization algorithms for variational data assimilation with the dual formulation
inferred← citeshttps://doi.org/10.1016/j.cpc.2008.02.014openalex-snapshot
A finite difference continuation method for computing energy levels of Bose–Einstein condensates
inferred← citeshttps://doi.org/10.1016/j.jcp.2013.09.018openalex-snapshot
Spectral collocation and a two-level continuation scheme for dipolar Bose–Einstein condensates
inferred← citeshttps://doi.org/10.1080/00207160.2012.736615openalex-snapshot
Efficient spectral collocation and continuation methods for symmetry-breaking solutions of rotating Bose–Einstein condensates
inferred← citeshttps://doi.org/10.1137/030602447openalex-snapshot
A Two-Grid Discretization Scheme for Semilinear Elliptic Eigenvalue Problems
inferred← citeshttps://doi.org/10.1137/050642861openalex-snapshot
Liapunov–Schmidt Reduction and Continuation for Nonlinear Schrödinger Equations
inferred← citeshttps://doi.org/10.1142/s0218127403007175openalex-snapshot
A MULTIGRID-LANCZOS ALGORITHM FOR THE NUMERICAL SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS
inferred← citeshttps://doi.org/10.1142/s0218127404011466openalex-snapshot
MULTIGRID-CONJUGATE GRADIENT TYPE METHODS FOR REACTION–DIFFUSION SYSTEMS
inferred← citeshttps://doi.org/10.1142/s0218127407017501openalex-snapshot
NUMERICAL CONTINUATION FOR NONLINEAR SCHRÖDINGER EQUATIONS
inferred← citeshttps://doi.org/10.1142/s0218127408021014openalex-snapshot
SUPERCONVERGENCE OF FEMS AND NUMERICAL CONTINUATION FOR PARAMETER-DEPENDENT PROBLEMS WITH FOLDS
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