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Deflation Techniques and Block-Elimination Algorithms for Solving Bordered Singular Systems

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inferredcites →https://doi.org/10.1007/978-3-0348-6294-3_1openalex-snapshot
Numerical Methods for Bifurcation Problems — A Survey and Classification
inferredcites →https://doi.org/10.1007/978-3-642-61257-2openalex-snapshot
Numerical Continuation Methods
inferredcites →https://doi.org/10.1007/bf02241698openalex-snapshot
A comparison of methods for determining turning points of nonlinear equations
inferredcites →https://doi.org/10.1016/0045-7949(81)90114-0openalex-snapshot
Numerical analysis of continuation methods for nonlinear structural problems
inferredcites →https://doi.org/10.1016/0305-0483(84)90006-9openalex-snapshot
Pathways to solutions
inferredcites →https://doi.org/10.1016/0378-4754(81)90037-9openalex-snapshot
Computing Methods in Applied Sciences and Engineering
inferredcites →https://doi.org/10.1016/0771-050x(78)90015-3openalex-snapshot
An efficient algorithm for the determination of certain bifurcation points
inferredcites →https://doi.org/10.1090/s0025-5718-1984-0736451-4openalex-snapshot
On the existence and computation of 𝐿𝑈-factorizations with small pivots
inferredcites →https://doi.org/10.1137/0715001openalex-snapshot
Numerical Methods for a Class of Finite Dimensional Bifurcation Problems
inferredcites →https://doi.org/10.1137/0717020openalex-snapshot
Solution Fields of Nonlinear Equations and Continuation Methods
inferredcites →https://doi.org/10.1137/0721050openalex-snapshot
Deflated Decomposition of Solutions of Nearly Singular Systems
inferredcites →https://doi.org/10.1137/0902011openalex-snapshot
On the Implicit Deflation of Nearly Singular Systems of Linear Equations
inferredcites →https://doi.org/10.1137/0903012openalex-snapshot
Arc-Length Continuation and Multigrid Techniques for Nonlinear Elliptic Eigenvalue Problems
inferredcites →https://doi.org/10.1137/0904039openalex-snapshot
The Bordering Algorithm and Path Following Near Singular Points of Higher Nullity
inferredcites →https://doi.org/10.1137/0905010openalex-snapshot
Newton-Like Pseudo-Arclength Methods for Computing Simple Turning Points
inferredcites →https://doi.org/10.1137/1.9781611971811openalex-snapshot
LINPACK Users' Guide
inferredcites →https://doi.org/10.1137/1022003openalex-snapshot
Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations
inferredcites →https://doi.org/10.2307/2975712openalex-snapshot
Pathways to Solutions, Fixed Points, and Equilibria.

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inferred← citeshttps://doi.org/10.1002/(sici)1097-0207(19980515)42:1<15::aid-nme347>3.0.co;2-nopenalex-snapshot
Sensitivity computation and shape optimization for a non-linear arch model with limit-points instabilities
inferred← citeshttps://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
inferred← citeshttps://doi.org/10.1002/aic.690330603openalex-snapshot
Computing multiple solutions to systems of interlinked separation columns
inferred← citeshttps://doi.org/10.1002/nla.2133openalex-snapshot
Prestructuring sparse matrices with dense rows and columns via null space methods
inferred← citeshttps://doi.org/10.1002/nme.1620280607openalex-snapshot
On linear constraints for Newton–Raphson corrections and critical point searches in structural F.E. problems
inferred← citeshttps://doi.org/10.1002/nme.1620380706openalex-snapshot
A finite element method for stability problems in finite elasticity
inferred← citeshttps://doi.org/10.1007/978-1-4613-1985-6_4openalex-snapshot
Aspects of Computational Circuit Analysis
inferred← citeshttps://doi.org/10.1007/978-3-0348-5681-2_4openalex-snapshot
Continuation methods in semiconductor device simulation
inferred← citeshttps://doi.org/10.1007/978-3-0348-6256-1_8openalex-snapshot
Techniques for Large Sparae Systems Arising from Continuation Methods
inferred← citeshttps://doi.org/10.1007/978-3-0348-7241-6_24openalex-snapshot
Some Remarks on the Deflated Block Elimination Method
inferred← citeshttps://doi.org/10.1007/978-3-642-56589-2_3openalex-snapshot
Continuation of Low-Dimensional Invariant Subspaces in Dynamical Systems of Large Dimension
inferred← citeshttps://doi.org/10.1007/978-3-642-75536-1_34openalex-snapshot
Block Elimination with Iterative Refinement for Bordered Linear Systems
inferred← citeshttps://doi.org/10.1007/978-3-7091-2604-2_5openalex-snapshot
Nonlinear Stability Analysis of Shells with the Finite Element Method
inferred← citeshttps://doi.org/10.1007/978-3-7091-4346-9_10openalex-snapshot
Applications
inferred← citeshttps://doi.org/10.1007/978-3-7091-4346-9_8openalex-snapshot
Solution Strategies for Nonlinear Equations and Computation of Singular Points
inferred← citeshttps://doi.org/10.1007/978-94-009-0659-4_16openalex-snapshot
A Newton-Like Method for Simple Bifurcation Problems with Application to Large Sparse Systems
inferred← citeshttps://doi.org/10.1007/bf00939836openalex-snapshot
Deflated Krylov subspace methods for nearly singular linear systems
inferred← citeshttps://doi.org/10.1007/bf01385630openalex-snapshot
Bordered augmented linear systems in numerical continuation and bifurcation
inferred← citeshttps://doi.org/10.1007/bf01390419openalex-snapshot
Numerical computation of nonsimple turning points and cusps
inferred← citeshttps://doi.org/10.1007/bf01396229openalex-snapshot
Adaptive data distribution for concurrent continuation
inferred← citeshttps://doi.org/10.1007/bf01931663openalex-snapshot
Block elimination with one refinement solves bordered linear systems accurately
inferred← citeshttps://doi.org/10.1007/s00158-016-1639-3openalex-snapshot
Sensitivity of structural response in context of linear and non-linear buckling analysis with solid shell finite elements
inferred← citeshttps://doi.org/10.1007/s002110050066openalex-snapshot
The approximation of generalized turning points\newline by Krylov subspace methods
inferred← citeshttps://doi.org/10.1016/0098-1354(88)85074-9openalex-snapshot
Simulation of continuous reactive distillation by a homotopy-continuation method
inferred← citeshttps://doi.org/10.1016/0167-2789(89)90269-8openalex-snapshot
Path-following methods in bifurcation problems
inferred← citeshttps://doi.org/10.1016/0168-9274(89)90013-5openalex-snapshot
Adaptive continuation algorithms with application to combustion problems
inferred← citeshttps://doi.org/10.1016/0377-0427(85)90045-7openalex-snapshot
An algorithm for the computation of Hopf bifurcation points in comparison with other methods
inferred← citeshttps://doi.org/10.1016/0377-0427(89)90147-7openalex-snapshot
Continuation methods in semiconductor device simulation
inferred← citeshttps://doi.org/10.1016/0377-0427(91)90157-fopenalex-snapshot
Conjugate gradient methods for continuation problems
inferred← citeshttps://doi.org/10.1016/0377-0427(94)00104-4openalex-snapshot
Conjugate gradient methods for continuation problems II
inferred← citeshttps://doi.org/10.1016/0377-0427(94)90311-5openalex-snapshot
Solution of bordered singular systems in numerical continuation and bifurcation
inferred← citeshttps://doi.org/10.1016/0378-4754(94)90002-7openalex-snapshot
The use of block elimination for the calculation of some types of singularities efficiently
inferred← citeshttps://doi.org/10.1016/0895-7177(94)90171-6openalex-snapshot
Analyzing stationary and periodic solutions of systems of parabolic partial differential equations by using singular subspaces as reduced basis
inferred← citeshttps://doi.org/10.1016/j.apnum.2008.06.002openalex-snapshot
A family of physics-based preconditioners for solving elliptic equations on highly heterogeneous media
inferred← citeshttps://doi.org/10.1016/j.apnum.2009.11.007openalex-snapshot
A hyperplane-constrained continuation method for near singularity in coupled nonlinear Schrödinger equations
inferred← citeshttps://doi.org/10.1016/j.cam.2016.10.018openalex-snapshot
Projected nonsymmetric algebraic Riccati equations and refining estimates of invariant and deflating subspaces
inferred← citeshttps://doi.org/10.1016/j.jcp.2005.04.019openalex-snapshot
A continuation BSOR-Lanczos–Galerkin method for positive bound states of a multi-component Bose–Einstein condensate
inferred← citeshttps://doi.org/10.1016/s0045-7825(01)00182-7openalex-snapshot
Efficient finite differences for parameter-dependent singularities in two-point boundary value problems
inferred← citeshttps://doi.org/10.1016/s0377-0427(00)00611-7openalex-snapshot
Tracing the buckling of a rectangular plate with the Block GMRES method
inferred← citeshttps://doi.org/10.1016/s0898-1221(98)00042-xopenalex-snapshot
Multiple bifurcations in a reaction-diffusion problem
inferred← citeshttps://doi.org/10.1016/s0898-1221(99)00097-8openalex-snapshot
Conjugate gradient type methods for semilinear elliptic problems with symmetry
inferred← citeshttps://doi.org/10.1016/s1570-8659(97)80002-6openalex-snapshot
Numerical path following
inferred← citeshttps://doi.org/10.1017/s0962492900002336openalex-snapshot
Continuation and path following
inferred← citeshttps://doi.org/10.1023/a:1019119126672openalex-snapshot
A continuation–domain decomposition algorithm for bifurcation problems
inferred← citeshttps://doi.org/10.1063/1.857817openalex-snapshot
A bifurcation study of convective heat transfer in porous media
inferred← citeshttps://doi.org/10.1080/00207169408804279openalex-snapshot
Asymptotic expansions for the extended systems used in the calculation of some singularities in B.V.P'S
inferred← citeshttps://doi.org/10.1090/s0025-5718-1984-0736451-4openalex-snapshot
On the existence and computation of 𝐿𝑈-factorizations with small pivots
inferred← citeshttps://doi.org/10.1093/imanum/14.3.381openalex-snapshot
Numerical analysis of homoclinic orbits emanating from a Takens-Bogdanov point
inferred← citeshttps://doi.org/10.1109/43.3162openalex-snapshot
Computation of steady-state CMOS latchup characteristics
inferred← citeshttps://doi.org/10.1109/7.481279openalex-snapshot
Order-recursive Gaussian elimination
inferred← citeshttps://doi.org/10.1137/0612034openalex-snapshot
Stable Solvers and Block Elimination for Bordered Systems
inferred← citeshttps://doi.org/10.1137/0721050openalex-snapshot
Deflated Decomposition of Solutions of Nearly Singular Systems
inferred← citeshttps://doi.org/10.1137/0722054openalex-snapshot
An Approximate Newton Method for Coupled Nonlinear Systems
inferred← citeshttps://doi.org/10.1137/0723059openalex-snapshot
Generalized Deflated Block-Elimination
inferred← citeshttps://doi.org/10.1137/0724088openalex-snapshot
On Continuation for Variational Inequalities
inferred← citeshttps://doi.org/10.1137/0725082openalex-snapshot
Approximation of Obstacle Problems by Continuation Methods
inferred← citeshttps://doi.org/10.1137/0730058openalex-snapshot
Computation of Takens–Bogdanov Type Bifurcations with Arbitrary Codimension
inferred← citeshttps://doi.org/10.1137/0731028openalex-snapshot
Matrices with Rank Deficiency Two in Eigenvalue Problems and Dynamical Systems
inferred← citeshttps://doi.org/10.1137/0803007openalex-snapshot
Numerical Continuation and Singularity Detection Methods for Parametric Nonlinear Programming
inferred← citeshttps://doi.org/10.1137/080723107openalex-snapshot
Continuation of Invariant Subspaces for Parameterized Quadratic Eigenvalue Problems
inferred← citeshttps://doi.org/10.1137/0905010openalex-snapshot
Newton-Like Pseudo-Arclength Methods for Computing Simple Turning Points
inferred← citeshttps://doi.org/10.1137/0906031openalex-snapshot
Iterative Methods for Solving Bordered Systems with Applications to Continuation Methods
inferred← citeshttps://doi.org/10.1137/0907036openalex-snapshot
PLTMGC: A Multigrid Continuation Program for Parameterized Nonlinear Elliptic Systems
inferred← citeshttps://doi.org/10.1137/0910041openalex-snapshot
Numerical Determination of an Emanating Branch of Hopf Bifurcation Points in a Two-Parameter Problem
inferred← citeshttps://doi.org/10.1137/0913041openalex-snapshot
Iterative Solution of Linear Systems Arising from the Boundary Integral Method
inferred← citeshttps://doi.org/10.1137/s0036142994273288openalex-snapshot
Large-Scale Continuation and Numerical Bifurcation for Partial Differential Equations
inferred← citeshttps://doi.org/10.1137/s1064827599361059openalex-snapshot
Exploiting Multilevel Preconditioning Techniques in Eigenvalue Computations
inferred← citeshttps://doi.org/10.1142/s0218127405013630openalex-snapshot
TRACING THE SOLUTION SURFACE WITH FOLDS OF A TWO-PARAMETER SYSTEM
inferred← citeshttps://doi.org/10.4208/cicp.110711.170212aopenalex-snapshot
A Two-Parameter Continuation Method for Rotating Two-Component Bose-Einstein Condensates in Optical Lattices
inferred← citeshttps://doi.org/10.4324/9780203745854-10openalex-snapshot
Continuation-Conjugate Gradient Algorithms for Semilinear Elliptic Neumann Problems
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