Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:13:26.613709Z
Paper Citation Record · LEDGER
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation
As of 16 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:1908.07949.
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Reference resolution
45 of 45 outbound references displayed
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Outbound references
Observation 0c66e63b-76df-41b5-93b5-88db3aa46002 · outbound
This paper cites Assimilation of operational data.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Assimilation of operational data
Reference 1
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Observation d35d8966-3df7-4b50-b290-8b35fd414e21 · outbound
This paper cites Eigenvalue estimates for preconditioned saddle point matrices.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Eigenvalue estimates for preconditioned saddle point matrices
Reference 2
- Resolution
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Observation 1af0b29f-c942-4a5c-b7cb-30a8a5287d2c · outbound
This paper cites H., and Liesen, J.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation H., and Liesen, J
Reference 3
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Observation cf1ac5e5-7e9d-4a9e-a642-94868c3656ef · outbound
This paper cites Inexact constraint preconditioners for linear systems arising in interior point methods.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Inexact constraint preconditioners for linear systems arising in interior point methods
Reference 4
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Observation de76f6de-36ae-4747-b49c-178dea8ae7b4 · outbound
This paper cites an unresolved cited work.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Unresolved cited work
Reference 5
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Observation a6514553-69ef-4080-b48f-6d2ea41057ab · outbound
This paper cites an unresolved cited work.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Unresolved cited work
Reference 6
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Observation dc0e1016-1e73-4a6d-96e5-085f93a64b56 · outbound
This paper cites J., and Zhang, Y.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation J., and Zhang, Y
Reference 7
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Observation 40b955ea-bc21-4620-af65-096aa4cb3d83 · outbound
This paper cites A strategy for operational implementation of 4D- Var, using an incremental approach.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation A strategy for operational implementation of 4D- Var, using an incremental approach
Reference 8
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Observation c6701472-f85e-4ea6-ba94-21c93157b34b · outbound
This paper cites Atmospheric Data Analysis , vol.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Atmospheric Data Analysis , vol
Reference 9
- Resolution
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Observation 0ee97f11-357f-46cc-91ad-2f6b7765d834 · outbound
This paper cites Conditioning of the weak-constraint variational data assi milation problem for numerical weather prediction.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Conditioning of the weak-constraint variational data assi milation problem for numerical weather prediction
Reference 10
- Resolution
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Observation 4da30ebb-6300-487b-a8a5-b0c398e90411 · outbound
This paper cites Variational data assimilation for tropospheric chemistry modeling.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Variational data assimilation for tropospheric chemistry modeling
Reference 11
- Resolution
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Source-reported events for the cited work
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Observation 1e6553d2-04d1-4ebf-ac04-f0a8edd29375 · outbound
This paper cites Minimization algorithms for variational data assimilation.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Minimization algorithms for variational data assimilation
Reference 12
- Resolution
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Observation e96b9676-c5a2-4ff3-aa18-3d339e4b2efd · outbound
This paper cites Parallelisation in the time dimension of four-dimensional variational da ta assimi- lation.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Parallelisation in the time dimension of four-dimensional variational da ta assimi- lation
Reference 13
- Resolution
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Observation 576b1959-fe57-4d43-96d1-0211e87516d8 · outbound
This paper cites A., and Green, D.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation A., and Green, D
Reference 14
- Resolution
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Observation 695e843d-92b8-4173-b063-9ebebc283107 · outbound
This paper cites H., and V an Loan, C.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation H., and V an Loan, C
Reference 15
- Resolution
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Observation cf91aee5-1862-4e98-8d77-65644fa66bba · outbound
This paper cites an unresolved cited work.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Unresolved cited work
Reference 16
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 84e48006-e6a5-4d06-8d2d-dabf759928de · outbound
This paper cites Approximate gauss-newton methods for nonlinear least squares problems.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Approximate gauss-newton methods for nonlinear least squares problems
Reference 17
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7e39d013-830c-4b5a-ba25-2c1e571cf090 · outbound
This paper cites Any nonincreasing convergence curve is possible for GMRES.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Any nonincreasing convergence curve is possible for GMRES
Reference 18
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 43eb7573-81a8-4ff0-b9c4-d4e9720a47e6 · outbound
This paper cites Bounds on eigenvalues of matrices arising from interior-point methods.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Bounds on eigenvalues of matrices arising from interior-point methods
Reference 19
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b7bbba2a-5d06-4411-9af3-bd1265db17b0 · outbound
This paper cites Adjoint methods in data assimilation for estimating model error.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Adjoint methods in data assimilation for estimating model error
Reference 20
- Resolution
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Source-reported events for the cited work
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Observation 3b9bc878-2c27-4562-9c73-aad220923090 · outbound
This paper cites R., and Stiefel, E.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation R., and Stiefel, E
Reference 21
- Resolution
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Source-reported events for the cited work
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Observation 6f9339fa-6fba-4793-9d8f-fd95dae62ec9 · outbound
This paper cites A., Cohn, S.
Reference 22
- Resolution
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Source-reported events for the cited work
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Observation 90ffae0d-d36b-4960-abbe-c37fe7c55e19 · outbound
This paper cites J., and Nichols, N.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation J., and Nichols, N
Reference 23
- Resolution
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Source-reported events for the cited work
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Observation ce1fc4c4-a381-4f4e-977a-50693bd59e7b · outbound
This paper cites Atmospheric Modeling, Data Assimilation and Predictabili ty.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Atmospheric Modeling, Data Assimilation and Predictabili ty
Reference 24
- Resolution
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Source-reported events for the cited work
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Observation 2d291631-59c7-4591-8869-dfef43830ade · outbound
This paper cites Variational data assimilation for very large environmental problems.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Variational data assimilation for very large environmental problems
Reference 25
- Resolution
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Source-reported events for the cited work
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Observation 338cdb31-e391-4d53-a1a3-63f0b4518408 · outbound
This paper cites Predictability - a problem partly solved.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Predictability - a problem partly solved
Reference 26
- Resolution
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Observation 3afcb9d2-944b-4e26-bbfd-b1141c2480e9 · outbound
This paper cites Spectral estimates for unreduced symmetric KKT systems arising from interior point methods.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Spectral estimates for unreduced symmetric KKT systems arising from interior point methods
Reference 27
- Resolution
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Observation aeea3d49-9158-4186-95ba-fba21fb71683 · outbound
This paper cites A comparison of reduced and unreduced KKT systems arising from interior point methods.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation A comparison of reduced and unreduced KKT systems arising from interior point methods
Reference 28
- Resolution
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Observation b0d14907-a146-4787-8f0c-259c1a9bff6b · outbound
This paper cites J., and Diekman, C.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation J., and Diekman, C
Reference 29
- Resolution
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c7640e86-fe59-4652-9948-a64efe71e05e · outbound
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Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Unresolved cited work
Reference 30
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Observation e699b49b-653d-4890-ac03-a5927bdf9b45 · outbound
This paper cites an unresolved cited work.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Unresolved cited work
Reference 31
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1ae11911-022c-49bd-8450-cb8482ef0b10 · outbound
This paper cites C., and Saunders, M.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation C., and Saunders, M
Reference 32
- Resolution
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 21c01030-0e7b-4cbf-903a-17dcbd8c15c6 · outbound
This paper cites The role of the model in the data assimilation system.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation The role of the model in the data assimilation system
Reference 33
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0bdc3150-9173-495a-8c99-e201864f5cb1 · outbound
This paper cites A preconditioned iterative method for saddlepoint problems.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation A preconditioned iterative method for saddlepoint problems
Reference 34
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 80dc17f0-37c3-4c08-872c-f95132b439ff · outbound
This paper cites Iterative Methods for Sparse Linear Systems , 2nd ed.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Iterative Methods for Sparse Linear Systems , 2nd ed
Reference 35
- Resolution
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Observation 0a13edd0-b69a-450d-bded-7a7304e7319c · outbound
This paper cites an unresolved cited work.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Unresolved cited work
Reference 36
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Observation cc9c929d-7860-4dfe-930e-1b06d49163bf · outbound
This paper cites Fast iterative solution of stabilised Stokes systems.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Fast iterative solution of stabilised Stokes systems
Reference 37
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3c8b0e30-0442-4b06-981f-424fd61fec85 · outbound
This paper cites Determinants of block matrices.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Determinants of block matrices
Reference 38
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1348b32a-801b-490f-8197-0e42809a2492 · outbound
This paper cites an unresolved cited work.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Unresolved cited work
Reference 39
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d3221f73-6a63-4331-add2-81c459111a2a · outbound
This paper cites Matrix Perturbation Theory.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Matrix Perturbation Theory
Reference 40
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation feb159cc-d461-4f0f-9e68-d0107458f569 · outbound
This paper cites Numerical weather prediction.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Numerical weather prediction
Reference 41
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3428c867-ec1a-429b-adf3-f13b44a1608c · outbound
This paper cites Variational assimilation.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Variational assimilation
Reference 42
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c71677f9-be92-4c7f-9bd1-a37c1ab474e6 · outbound
This paper cites N., and Bau, III, D.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation N., and Bau, III, D
Reference 43
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation df6e443c-ea1c-4d1f-bd4e-00b84ce78237 · outbound
This paper cites Accounting for an imperfect model in 4D-Var.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Accounting for an imperfect model in 4D-Var
Reference 44
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 72997eac-acd5-4689-8ed6-0011bbc4d120 · outbound
This paper cites Model-error estimation in 4D-Var.
Spectral estimates for saddle point matrices arising in weak constraint four-dimensional variational data assimilation Model-error estimation in 4D-Var
Reference 45
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
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