By G. Wahba (auth.), Andreas Vogel, Charles O. Ofoegbu, Rudolf Gorenflo, Bjorn Ursin (eds.)
Read or Download Geophysical Data Inversion Methods and Applications: Proceedings of the 7th International Mathematical Geophysics Seminar held at the Free University of Berlin, February 8–11, 1989 PDF
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Additional resources for Geophysical Data Inversion Methods and Applications: Proceedings of the 7th International Mathematical Geophysics Seminar held at the Free University of Berlin, February 8–11, 1989
Example text
He we g'et. hel'more. ion of' (lP), Le. ep 5a. heorem. hen af- of subsequent. he problem (IP). he minimizer 0:1' -I'(x"v). hm it. hat. hm 1'01' be per- formed. he case next. hat. s are linear. raint. ype of SUbpl'obJems subject. x J b. ions, problems direct. g. ions, be Gill-Murray it. ions. ed by N, let. m ... he set. s of problem (24) and "l¢(;;') ... v k ( c;;' + + p) k ~ w~ a. he gradient. v ) at. he point. x. he columns of N are linearly independent. g. see Goldfarb-Idnani(1983» N* .. ( NT C- 1 N ) -1NT C-1 (25a) a-1~I (25b) H ...
He point. x. he columns of N are linearly independent. g. see Goldfarb-Idnani(1983» N* .. ( NT C- 1 N ) -1NT C-1 (25a) a-1~I (25b) H ... 1/vk ... he - - NN*) ... ions (26) It. ant. hat. s xkem. h unique multipliers u. ep 2 we have Jk .. ion ¢(x,wk,v k ). ion is given by Ak X The direct. ions 26 .. ions which at. 2: w. y. hat. 01 has q columns. g. rb-Idnani(1983». TJk(. k. riangulal' , given, these if' a i'easible calculations solution can be x k f'or pert'ormed easily. aI'tAng point line T a we ~k, invest,igate it' in constl'aint.
Raint. ype of SUbpl'obJems subject. x J b. ions, problems direct. g. ions, be Gill-Murray it. ions. ed by N, let. m ... he set. s of problem (24) and "l¢(;;') ... v k ( c;;' + + p) k ~ w~ a. he gradient. v ) at. he point. x. he columns of N are linearly independent. g. see Goldfarb-Idnani(1983» N* .. ( NT C- 1 N ) -1NT C-1 (25a) a-1~I (25b) H ... 1/vk ... he - - NN*) ... ions (26) It. ant. hat. s xkem. h unique multipliers u. ep 2 we have Jk .. ion ¢(x,wk,v k ). ion is given by Ak X The direct.