Gejadze, I. Yu.; Le Dimet, F.-X.; Shutyaev, V. On analysis error covariances in variational data assimilation. (English) Zbl 1168.65357 SIAM J. Sci. Comput. 30, No. 4, 847-1874 (2008). Cited in 17 Documents MSC: 65K10 Numerical optimization and variational techniques 49K20 Optimality conditions for problems involving partial differential equations 49M15 Newton-type methods Keywords:data assimilation; optimal control; analysis error; Hessian; covariance operator; Broyden-Fletcher-Goldfarb-Shanno (BFGS) method; nonlinear evolution model; quasi-Newton BFGS algorithm; numerical examples Software:L-BFGS; TAPENADE PDF BibTeX XML Cite \textit{I. Yu. Gejadze} et al., SIAM J. Sci. Comput. 30, No. 4, p1847--1874 (2008; Zbl 1168.65357) Full Text: DOI