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Chapter 1. Theory
Chapter 2. Computational
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REFERENCES
Barkmeijer J., van Gijzen, M. and Bouttier, F. 1998: Singular vectors and estimates of the anlaysis error covariance
metric. Quart. .J. Roy. Meteor. Soc. To appear.
Buizza, R. and T.N. Palmer, 1995: The singular vector structure of the atmosphere global circulation. J. Atmos. Sci., 52, 1434-1456.
Buizza, R., Petroliagis, T., Palmer, T. N., Barkmeijer, J., Hamrud, M., Hollingsworth, A., Simmons, A. and Wedi, N., 1998: Impact of model resolution and ensemble size on the performance of an ensemble prediction system. Quart. J. Roy. Meteor. Soc., to appear.
Ehrendorfer, M. and Tribbia, J. J., 1997: Optimal prediction of forecast error covariances through singular vectors. J. Atmos. Sci., 53, 286-313.
Gelaro, R., Buizza, R., Palmer, T. N. and Klinker, E., 1998: Sensitivity analysis of forecast errors and the construction of optimal perturbations using singular vectors. J. Atmos. Sci., to appear.
Golub, G. H., and van Loan, C. F., 1983: Matrix computation. North Oxford Academic Publ. Co. Ltd., pp 476.
Molteni, F., Buizza, R. , Palmer, T. N. and Petroliagis, T., 1996: The ECMWF Ensemble Prediction System: methodology and validation. Quart. J. Roy. Meteor. Soc., 122, 73-119.
Mureau, F., Molteni, F. and Palmer, T.M., 1993: Ensemble prediction using dynamically conditioned perturbations. Quart. J. Roy. Meteor. Soc., 199, 299-298.
Palmer, R.N., Gelaro, R., Barkmeijer, J. and Buizza, R., 1998: Singular vectors, metrics and adaptive observations. J. Atmos. Sci. 55, 633-653.
Palmer, T.N., Molteni, F., Mureau, R. Buizza, R., Chapelet, P. and Tribbia, J., 1993: `Ensemble Prediction'. Proceedings of the ECMWF Seminar on Validation of models over Europe: Vol 1, ECMWF, Shinfield Park, Reading RG2 9AX, UK.
Rabier, F., Klinker, E., Courtier, P. and Hollingsworth, A., 1996: Sensitivity of forecast errors to initial conditions. Quart. J. Roy. Meteor. Soc., 122, 121-150.
Simon, H. D., 1984: The Lanczos algorithm with partial re-orthogonalization. Math. Comp., 42, 165, 115-142.
Sleijpen, G. L. G., and van der Vorst, H. A., 1996: A Jacobi - Davidson iteration method for linear eigenvalue problems. SIAM J. Matrix Anal. Appl., 17, 401 - 425
Trevisan, A, Pancotti, F. and Molteni, F., 1998: Ensemble prediction in a model witxh flow regimes. Quart. J. Roy. Meteor. Soc. To appear.
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