Optimization and Regularization of Nonlinear Least Squares Problems
Häftad bok. Umeå universitet, department of computing science. 1996. 250 sidor.
Nära nyskick.
ENGELSK TEXT. Format 24 x 16,5 cm Vikt 540 g.
Häftad bok med mjuka pärmar, diagram och formler i sv/v, ett rättelseblad medföljer. Akademisk avhandling för filosofie doktorsexamen. "An important branch in scientific computing is parameter estimation. Given a mathematical model and observation data, parameters are sought to explain physical properties as well as possible. In order to find these parameters an optimization problem is often formed, frequently a nonlinear least squares problem. This thesis mainly contributes to the development of tools, techniques, and theories for nonlinear least squares problems that lack a well-defined solution. Specifically, the intention is to generalize regularization methods for linear inverse problems to also handle nonlinear inverse problems. The investigation started by considering an exactly rank-deficient problem, i.e., a problem with a dependency among the parameters. It turns out that such a problem can be formulated as a nonlinear minimum norm problem. To solve this optimization problem two regularization methods are proposed: A Gauss-Newton Tikhonov regularized method and a minimum norm GaussNewton method." // Bilden avser den aktuella boken. Utnyttja gärna inrikes ENHETSFRAKTEN för beställning av flera av mina böcker samtidigt. [0229]
Förlagsfakta
- ISBN
- 9171911960
- Titel
- Optimization and regularization of nonlinear least squares problems
- Författare
- Eriksson, Jerry
- Förlag
- Umeå : Univ
- Utgivningsår
- 1996
- Språk
- English
