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Preconditioning Saddle-Point Systems with Applications in Optimization
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Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-0-387-71107-2openalex-snapshot
Practical Optimization: Algorithms and Engineering Applications
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Newton-type methods for unconstrained and linearly constrained optimization
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Minimum residual methods for augmented systems
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On the eigenvalues of a class of saddle point matrices
inferredcites →https://doi.org/10.1007/s00211-007-0131-9openalex-snapshot
On nonsymmetric saddle point matrices that allow conjugate gradient iterations
inferredcites →https://doi.org/10.1007/s10107-007-0177-6openalex-snapshot
Modified Cholesky algorithms: a catalog with new approaches
inferredcites →https://doi.org/10.1016/j.apnum.2003.11.012openalex-snapshot
Block triangular preconditioners for symmetric saddle-point problems
inferredcites →https://doi.org/10.1017/s0962492904000212openalex-snapshot
Numerical solution of saddle point problems
inferredcites →https://doi.org/10.1023/a:1021961616621openalex-snapshot
The Role of the Inner Product in Stopping Criteria for Conjugate Gradient Iterations
inferredcites →https://doi.org/10.1090/s0025-5718-1988-0917816-8openalex-snapshot
A Preconditioning Technique for Indefinite Systems Resulting from Mixed Approximations of Elliptic Problems
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On the Accurate Determination of Search Directions for Simple Differentiable Penalty Functions
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Finite Elements and Fast Iterative Solvers: with Applications in Incompressible Fluid Dynamics
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Iterative Solution of Augmented Systems Arising in Interior Methods
inferredcites →https://doi.org/10.1137/060660977openalex-snapshot
Symmetric Indefinite Preconditioners for Saddle Point Problems with Applications to PDE-Constrained Optimization Problems
inferredcites →https://doi.org/10.1137/070688961openalex-snapshot
Combination Preconditioning and the Bramble–Pasciak$^{+}$ Preconditioner
inferredcites →https://doi.org/10.1137/0712047openalex-snapshot
Solution of Sparse Indefinite Systems of Linear Equations
inferredcites →https://doi.org/10.1137/0727091openalex-snapshot
A Taxonomy for Conjugate Gradient Methods
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Changing the Norm in Conjugate Gradient Type Algorithms
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A New Modified Cholesky Factorization
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Iterative Methods for Sparse Linear Systems
inferredcites →https://doi.org/10.1137/1.9781611971453openalex-snapshot
Primal-Dual Interior-Point Methods
inferredcites →https://doi.org/10.1137/s0895479800375540openalex-snapshot
Krylov Subspace Methods for Saddle Point Problems with Indefinite Preconditioning
inferredcites →https://doi.org/10.1137/s0895479896302898openalex-snapshot
A Modified Cholesky Algorithm Based on a Symmetric Indefinite Factorization
inferredcites →https://doi.org/10.1137/s0895479899351805openalex-snapshot
Constraint Preconditioning for Indefinite Linear Systems
inferredcites →https://doi.org/10.1137/s105262349833266xopenalex-snapshot
A Revised Modified Cholesky Factorization Algorithm
inferredcites →https://doi.org/10.1137/s1064827596303624openalex-snapshot
Block-Triangular Preconditioners for Saddle Point Problems with a Penalty Term
inferredcites →https://doi.org/10.1137/s1064827599355153openalex-snapshot
A Note on Preconditioning for Indefinite Linear Systems
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Preconditioners Based on “Parareal” Time-Domain Decomposition for Time-Dependent PDE-Constrained Optimization
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New preconditioners based on symmetric-triangular decomposition for saddle point problems
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A Practical Factorization of a Schur Complement for PDE-Constrained Distributed Optimal Control
inferred← citeshttps://doi.org/10.1016/j.cam.2026.117476openalex-snapshot
Two block product-type preconditioners for double saddle point problems
inferred← citeshttps://doi.org/10.1016/j.camwa.2021.11.004openalex-snapshot
Improved penalty algorithm for mixed integer PDE constrained optimization problems
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Preconditioned Conjugate Gradient Method for Optimal Control Problems with Control and State Constraints
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Preconditioning Iterative Methods for the Optimal Control of the Stokes Equations
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Analysis of the Minimal Residual Method Applied to Ill Posed Optimality Systems
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Operator Preconditioning for a Class of Inequality Constrained Optimal Control Problems
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IFISS: A Computational Laboratory for Investigating Incompressible Flow Problems
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A New Analysis of Block Preconditioners for Saddle Point Problems
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A Matrix-Free Trust-Region SQP Method for Equality Constrained Optimization
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Null-Space Preconditioners for Saddle Point Systems
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Restrictively Preconditioned Conjugate Gradient Method for a Series of Constantly Augmented Least Squares Problems
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Computational strategies for surface fitting using thin plate spline finite element methods
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Refined spectral estimates for preconditioned saddle point linear systems in a non-standard inner product
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Robust and efficient finite element multigrid and preconditioned minimum residual solvers for the distributed elliptic optimal control problems
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A Robust Approximation of the Schur Complement Preconditioner for an Efficient Numerical Solution of the Elliptic Optimal Control Problems
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A new Bramble-Pasciak-like preconditioner for saddle point problems
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