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Erscheinungsjahr
- 2001 (2) (entfernen)
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- n.a. (2) (entfernen)
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- Anglistik (1)
- Mathematik (1)
Mothers and Daughters: The Female English Bildungsroman, 1811-1915 This dissertation analyses the mother-daughter-relationship of five female apprenticeship novels. In the course of the study of Jane Austen's Sense and Sensibility (1811), Charlotte Brontë's Jane Eyre (1847), Elizabeth Gaskell's Wives and Daughters (1865), George Eliot's The Mill on the Floss (1860) and Virginia Woolf's The Voyage Out (1915) modern feminist, psychological, and psychoanalytical theories concerning the mother-daughter-conflict and female development are considered as well as autobio-graphic material and the authoresses' Œuvres. The historical context, the social and psychohistoric con-ditions, and changes in England during the 19th and beginning 20th century (especially concerning family, female socialisation and role training, motherhood, children's education) are studied and the features and achievements of the female Bildungsroman, that experiences an upswing during this time, emphasized. The dissertation shows the development of the female apprenticeship novel concerning its presentation of mother, daughter, and mother-daughter-relationship and also the enormous progressive-ness of this genre concerning the description of details of this relationship. The analysis demonstrates that all novels show complex and problematic mother-daughter-relationships, that for the daughters are on the one hand traumatic, but on the other hand lead to self-discovery and autonomy. The texts present the mother-daughter-relationship as highly ambivalent, oscillating between love, identification, aggression, rejection, rivalry, and rebellion. In this way they serve to correct the female doctrine and the ideological mother image of the Victorian period as much as the cliché of childhood as an idyllic condition without conflicts, and thus anticipate psychological discoveries and efforts of later periods. Furthermore, it becomes obvious that the authoresses put their own problematic mother-daughter-relationship into literary form and thus try to overcome it; that the fictitious mother-daughter-relation-ships often have a compensatory function. The fact that the analysed novels admit to the mother-daughter-relationship so early such an importance, constitutes their rank and justifies their place in the English literature and culture.
The goal of this thesis is to transfer the logarithmic barrier approach, which led to very efficient interior-point methods for convex optimization problems in recent years, to convex semi-infinite programming problems. Based on a reformulation of the constraints into a nondifferentiable form this can be directly done for convex semi- infinite programming problems with nonempty compact sets of optimal solutions. But, by means of an involved max-term this reformulation leads to nondifferentiable barrier problems which can be solved with an extension of a bundle method of Kiwiel. This extension allows to deal with inexact objective values and subgradient information which occur due to the inexact evaluation of the maxima. Nevertheless we are able to prove similar convergence results as for the logarithmic barrier approach in the finite optimization. In the further course of the thesis the logarithmic barrier approach is coupled with the proximal point regularization technique in order to solve ill-posed convex semi-infinite programming problems too. Moreover this coupled algorithm generates sequences converging to an optimal solution of the given semi-infinite problem whereas the pure logarithmic barrier only produces sequences whose accumulation points are such optimal solutions. If there are certain additional conditions fulfilled we are further able to prove convergence rate results up to linear convergence of the iterates. Finally, besides hints for the implementation of the methods we present numerous numerical results for model examples as well as applications in finance and digital filter design.