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A survey of probability-one homotopy methods for engineering optimization
Author
Source
The Arabian Journal for Science and Engineering
Issue
Vol. 16, Issue 2B (s) (30 Jun. 1991), pp.297-323, 27 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
1991-06-30
Country of Publication
Saudi Arabia
No. of Pages
27
Main Subjects
Information Technology and Computer Science
Abstract EN
Probability-one homotopy methods are a class of algorithms for solving nonlinear systems of equations that are accurate, robust, and converge from an arbitrary starting point almost surely.
These new globally convergent homotopy techniques have been successfully applied to solve Brouwer fixed point problems, polynomial systems of equations, discretizations of nonlinear two-point boundary value problems based on shooting, finite differences, collocation, and finite elements, and finite difference, collocation, and Galerkin approximations to nonlinear partial differential equations.
This paper surveys the basic theory of globally convergent probability-one homotopy algorithms relevant to optimization, describes some computer algorithms and mathematical software, and applies homotopy theory to unconstrained optimization, constrained optimization, and global optimization of polynomial programs.
In addition, two realistic engineering applications (optimal design of composite laminated plates and fuel-optimal orbital satellite maneuvers) are presented.
American Psychological Association (APA)
Watson, Layne T.. 1991. A survey of probability-one homotopy methods for engineering optimization. The Arabian Journal for Science and Engineering،Vol. 16, no. 2B (s), pp.297-323.
https://search.emarefa.net/detail/BIM-395178
Modern Language Association (MLA)
Watson, Layne T.. A survey of probability-one homotopy methods for engineering optimization. The Arabian Journal for Science and Engineering Vol. 16, no. 2B (s) (Jun. 1991), pp.297-323.
https://search.emarefa.net/detail/BIM-395178
American Medical Association (AMA)
Watson, Layne T.. A survey of probability-one homotopy methods for engineering optimization. The Arabian Journal for Science and Engineering. 1991. Vol. 16, no. 2B (s), pp.297-323.
https://search.emarefa.net/detail/BIM-395178
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 321-323
Record ID
BIM-395178