The Computation of Fixed Points and Applications
Availability: In stock
Regular Price
AED 500.00
Special Price
AED 475.00
Fixed-point algorithms have diverse applications in economics, optimization, game theory and the numerical solution of boundary-value problems. Since Scarf's pioneering work [56,57] on obtaining approximate fixed points of continuous mappings, a great deal of research has been done in extending the applicability and improving the efficiency of fixed-point methods. Much of this work is available only in research papers, although Scarf's book [58] gives a remarkably clear exposition of the power of fixed-point methods. However, the algorithms described by Scarf have been super eded by the more sophisticated restart and homotopy techniques of Merrill [ 8, 9] and Eaves and Saigal [1,16]. To understand the more efficient algorithms one must become familiar with the notions of triangulation and simplicial approxi- tion, whereas Scarf stresses the concept of primitive set. These notes are intended to introduce to a wider audience the most recent fixed-point methods and their applications. Our approach is therefore via triangu- tions. For this reason, Scarf is cited less in this manuscript than his contri- tions would otherwise warrant. We have also confined our treatment of applications to the computation of economic equilibria and the solution of optimization problems. Hansen and Koopmans [28] apply fixed-point methods to the computation of an invariant optimal capital stock in an economic growth model. Applications to game theory are discussed in Scarf [56,58], Shapley [59], and Garcia, Lemke and Luethi [24]. Allgower [1] and Jeppson [31] use fixed-point algorithms to find many solutions to boundary-value problems.
Publisher Name | Springer |
---|---|
Author Name | Hagendorf, Col |
Format | Audio |
Bisac Subject Major | MAT |
Language | NG |
Isbn 10 | 3540076859 |
Isbn 13 | 9783540076858 |
Target Age Group | min:NA, max:NA |
Series | 000221492124 |
Dimensions | 00.85" H x 00.05" L x 50.00" W |
Page Count | 132 |
Write Your Own Review
Recommended Products
Vedic Mathematics Made Easy- 2...
Vedic Mathematics Made Easy‘Vedic Mathematics Made Easy’ has been written by Dhaval Bathia. The...
Regular Price
AED 35.00
Special Price
AED 33.25