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THE BLACK-SCHOLES EQUATION REVISITED: ASYMPTOTIC EXPANSIONS AND SINGULAR PERTURBATIONS

✍ Scribed by Martin Widdicks; Peter W. Duck; Ari D. Andricopoulos; David P. Newton


Book ID
110758062
Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
174 KB
Volume
15
Category
Article
ISSN
0960-1627

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Asymptotic Expansions and a New Numerica
✍ Hiroaki Mukaidani; Tetsu Shimomura; Koichi Mizukami πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 187 KB

In this paper we study a continuous-time multiparameter algebraic Riccati equation (MARE) with an indefinite sign quadratic term. The existence of a unique and bounded solution of the MARE is newly established. We show that the Kleinman algorithm can be used to solve the sign indefinite MARE. The pr