Quality Assessment of Satellite-based Global Gravity Field Models |
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Page 2
... ill - posed problem and that the solution requires regularisation ( e.g. Rummel et al . , 1979 ) . Several methods of regularisation exist which stabilise the solution at the expense of ... problems and regularisation Ill-posed problems.
... ill - posed problem and that the solution requires regularisation ( e.g. Rummel et al . , 1979 ) . Several methods of regularisation exist which stabilise the solution at the expense of ... problems and regularisation Ill-posed problems.
Page 7
... problem is said to be well - posed . Definition 2.1 ( well - posed , ill - posed ) . Let A : F → G be an operator from a normed space F into a normed space G. The equation Af = g ( 2.3 ) with fFgG is called well - posed if A is ...
... problem is said to be well - posed . Definition 2.1 ( well - posed , ill - posed ) . Let A : F → G be an operator from a normed space F into a normed space G. The equation Af = g ( 2.3 ) with fFgG is called well - posed if A is ...
Page 109
... ill- posed problems , Version 2.1 for Matlab 5.0 . Department of Mathematical Modelling , Technical Uni- versity of Denmark . http://www.imm.dtu.dk/pch . Hansen , P. ( 1999 ) . The L - curve and its use in the numerical treatment of ...
... ill- posed problems , Version 2.1 for Matlab 5.0 . Department of Mathematical Modelling , Technical Uni- versity of Denmark . http://www.imm.dtu.dk/pch . Hansen , P. ( 1999 ) . The L - curve and its use in the numerical treatment of ...
Contents
Quality measures | 23 |
5 | 29 |
Gravity field models from SGG only | 47 |
Copyright | |
5 other sections not shown
Common terms and phrases
approximate ATPA biased estimation chapter combination of SGG computed condition number contribution measure degree and order degree coefficients degree-order variances diagonal discussed downward continuation Earth eigenvalues error covariance error degree variances error propagation filter finite frequencies function geodesy geoid errors global gravity field gravimetry gravitational potential gravity anomalies gravity field model gravity gradients grid levels Hansen ill-posed problems interpolation error inverse problem iteration L-curve least-squares solution linear maximum BSR maximum degree mean square error mGal minimising minimum MSE mission 2a model error MSEM normal matrix operator parameter choice rules polar gap potential coefficients Propagated errors quality description regularisation methods regularisation parameter Rummel Schrama second derivative constraint SGG+Ag shown signal constraint simulated singular value decomposition solved spherical harmonic spherical harmonic coefficients SST observations Tikhonov regularisation TR with signal variance-covariance matrix white noise yields zero