A nonlinear preconditioned quasi-Newton method without inversion of a first-guess covariance matrix in variational analyses

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Fujii, Yosuke ; Kamachi, Masafumi (2011)

Aquasi-Newton method developed for adopting a non-diagonal first-guess covariance matrix in nonlinearvariational analyses (i.e. variational analyses adopting a non-quadratic cost function) is presented.As an example, we also show the effect of the nonlinear relationship between temperature and seasurfaceheight in three-dimensional variational ocean analyses.DOI: 10.1034/j.1600-0870.2003.00030.x
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