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Deflated Decomposition of Solutions of Nearly Singular Systems

https://doi.org/10.1137/0721050
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Numerical Methods for Bifurcation Problems — A Survey and Classification
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Singular value decomposition and least squares solutions
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A comparison of methods for determining turning points of nonlinear equations
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Pathways to solutions
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Practical optimization
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Numerical continuation methods
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The least squares problem and pseudo-inverses
inferredcites →https://doi.org/10.1137/0715001openalex-snapshot
Numerical Methods for a Class of Finite Dimensional Bifurcation Problems
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Solution Fields of Nonlinear Equations and Continuation Methods
inferredcites →https://doi.org/10.1137/0902011openalex-snapshot
On the Implicit Deflation of Nearly Singular Systems of Linear Equations
inferredcites →https://doi.org/10.1137/0902030openalex-snapshot
Solution of Homogeneous Systems of Linear Equations Arising from Compartmental Models
inferredcites →https://doi.org/10.1137/0905009openalex-snapshot
Deflation Techniques and Block-Elimination Algorithms for Solving Bordered Singular Systems
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
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Ill-Conditioned Eigensystems and the Computation of the Jordan Canonical Form
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/10.1145/322374.322377openalex-snapshot
Computable Error Bounds for Aggregated Markov Chains
inferredcites →https://doi.org/10.1145/355984.355990openalex-snapshot
An Improved Algorithm for Computing the Singular Value Decomposition
inferredcites →https://doi.org/10.2307/2003558openalex-snapshot
The Algebraic Eigenvalue Problem
inferredcites →https://doi.org/10.2307/2975712openalex-snapshot
Pathways to Solutions, Fixed Points, and Equilibria.

What points at this work

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

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Newton-Like Pseudo-Arclength Methods for Computing Simple Turning Points
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