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Block elimination with one refinement solves bordered linear systems accurately
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-3-0348-6256-1_14openalex-snapshot
Singular Points and their Computation
inferredcites →https://doi.org/10.1007/978-3-0348-7241-6_24openalex-snapshot
Some Remarks on the Deflated Block Elimination Method
inferredcites →https://doi.org/10.1007/bf01932150openalex-snapshot
Iterative refinement implies numerical stability
inferredcites →https://doi.org/10.1016/0024-3795(86)90115-1openalex-snapshot
Rank and null space calculations using matrix decomposition without column interchanges
inferredcites →https://doi.org/10.1016/0024-3795(89)90036-0openalex-snapshot
A singular value inequality for block matrices
inferredcites →https://doi.org/10.1016/0378-4754(86)90113-8openalex-snapshot
Numerical analysis of parametrized nonlinear equations
inferredcites →https://doi.org/10.1090/s0025-5718-1980-0572859-4openalex-snapshot
Iterative Refinement Implies Numerical Stability for Gaussian Elimination
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/10.1093/imanum/5.4.437openalex-snapshot
Multiplicative Error Analysis of Matrix Transformation Algorithms
inferredcites →https://doi.org/10.1137/0721015openalex-snapshot
A New Measure of Relative Error for Vectors
inferredcites →https://doi.org/10.1137/0721050openalex-snapshot
Deflated Decomposition of Solutions of Nearly Singular Systems
inferredcites →https://doi.org/10.1137/0723059openalex-snapshot
Generalized Deflated Block-Elimination
inferredcites →https://doi.org/10.1137/0904039openalex-snapshot
The Bordering Algorithm and Path Following Near Singular Points of Higher Nullity
inferredcites →https://doi.org/10.1137/0905009openalex-snapshot
Deflation Techniques and Block-Elimination Algorithms for Solving Bordered Singular Systems
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Tracing the equilibrium path beyond compound critical points
inferred← citeshttps://doi.org/10.1002/mma.4641openalex-snapshot
Crank‐Nicolson‐Galerkin finite element scheme for nonlocal coupled parabolic problem using the Newton's method
inferred← citeshttps://doi.org/10.1002/nla.2127openalex-snapshot
Methods for solving underdetermined systems
inferred← citeshttps://doi.org/10.1002/nla.306openalex-snapshot
Application of the Lanczos algorithm for solving the linear systems that occur in continuation problems
inferred← citeshttps://doi.org/10.1002/num.22123openalex-snapshot
Finite element approximation of nonlocal parabolic problem
inferred← citeshttps://doi.org/10.1007/bf01385630openalex-snapshot
Bordered augmented linear systems in numerical continuation and bifurcation
inferred← citeshttps://doi.org/10.1007/s12190-015-0975-6openalex-snapshot
Fully discrete finite element scheme for nonlocal parabolic problem involving the Dirichlet energy
inferred← citeshttps://doi.org/10.1007/s40314-019-0889-2openalex-snapshot
Galerkin finite element schemes with fractional Crank–Nicolson method for the coupled time-fractional nonlinear diffusion system
inferred← citeshttps://doi.org/10.1016/0024-3795(89)90036-0openalex-snapshot
A singular value inequality for block matrices
inferred← citeshttps://doi.org/10.1016/j.camwa.2017.10.034openalex-snapshot
Finite element analysis of nonlocal coupled parabolic problem using Newton’s method
inferred← citeshttps://doi.org/10.1016/j.camwa.2019.03.036openalex-snapshot
Finite element analysis for coupled time-fractional nonlinear diffusion system
inferred← citeshttps://doi.org/10.1017/s0962492922000022openalex-snapshot
Mixed precision algorithms in numerical linear algebra
inferred← citeshttps://doi.org/10.1080/00036811.2020.1749269openalex-snapshot
Semi-discrete finite-element approximation of nonlocal hyperbolic problem
inferred← citeshttps://doi.org/10.1137/0612034openalex-snapshot
Stable Solvers and Block Elimination for Bordered Systems
inferred← citeshttps://doi.org/10.1137/0731028openalex-snapshot
Matrices with Rank Deficiency Two in Eigenvalue Problems and Dynamical Systems
inferred← citeshttps://doi.org/10.1137/110822931openalex-snapshot
Finite Element Method for a Nonlocal Problem of Kirchhoff Type
inferred← citeshttps://doi.org/10.1137/23m1551961openalex-snapshot
Solving the Parametric Eigenvalue Problem by Taylor Series and Chebyshev Expansion
inferred← citeshttps://doi.org/10.1142/s0219876217500530openalex-snapshot
Finite Element Scheme with Crank–Nicolson Method for Parabolic Nonlocal Problems Involving the Dirichlet Energy
inferred← citeshttps://doi.org/10.5269/bspm.46032openalex-snapshot
Full discretization to an hyperbolic equation with nonlocal coefficient
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