Geometrically Constructed Families of Newton's Method for Unconstrained Optimization and Nonlinear Equations
Joint Authors
Kumar, Sanjeev
Kanwar, Vinay
Singh, Sukhjit
Tomar, Sushil Kumar
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-08-07
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
One-parameter families of Newton's iterative method for the solution of nonlinear equations and its extension to unconstrained optimization problems are presented in the paper.
These methods are derived by implementing approximations through a straight line and through a parabolic curve in the vicinity of the root.
The presented variants are found to yield better performance than Newton's method, in addition that they overcome its limitations.
American Psychological Association (APA)
Kumar, Sanjeev& Kanwar, Vinay& Tomar, Sushil Kumar& Singh, Sukhjit. 2011. Geometrically Constructed Families of Newton's Method for Unconstrained Optimization and Nonlinear Equations. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-9.
https://search.emarefa.net/detail/BIM-512560
Modern Language Association (MLA)
Kumar, Sanjeev…[et al.]. Geometrically Constructed Families of Newton's Method for Unconstrained Optimization and Nonlinear Equations. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-9.
https://search.emarefa.net/detail/BIM-512560
American Medical Association (AMA)
Kumar, Sanjeev& Kanwar, Vinay& Tomar, Sushil Kumar& Singh, Sukhjit. Geometrically Constructed Families of Newton's Method for Unconstrained Optimization and Nonlinear Equations. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-9.
https://search.emarefa.net/detail/BIM-512560
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512560
