ISSN 2394-5125
 

Research Article 


CONVERGENCE ANALYSIS OF LAGRANGIAN FUNCTION USING ITERATIVE METHODS

Shelja Jhamb, Dr. Amanpreet Singh, Salil Kumar, Mamta Parmar.

Abstract
Abstract
The purpose of present study deals with convergence and rate of convergence properties of
iterative methods in two variables. Convergence is obtained at the points which satisfies Khun-
Tucker conditions. The facts about three variables is discussed in this paper which is outcome of
the main result. In convex problem, convergence is obtained for first order without using
derivatives and For second order, convergence required second order derivative and can be
guaranteed only for a smaller region of initial values of multipliers. Here the convergence for third
order Lagrangian multiplier is proposed. Also convergence of Quasi-Newton versions is discussed.

Key words: Keywords: Convergence, Rate of Convergence, K-T Pair.


 
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How to Cite this Article
Pubmed Style

Shelja Jhamb, Dr. Amanpreet Singh, Salil Kumar, Mamta Parmar. CONVERGENCE ANALYSIS OF LAGRANGIAN FUNCTION USING ITERATIVE METHODS. JCR. 2020; 7(17): 2389-2397. doi:10.31838/jcr.07.17.295


Web Style

Shelja Jhamb, Dr. Amanpreet Singh, Salil Kumar, Mamta Parmar. CONVERGENCE ANALYSIS OF LAGRANGIAN FUNCTION USING ITERATIVE METHODS. http://www.jcreview.com/?mno=99377 [Access: June 03, 2021]. doi:10.31838/jcr.07.17.295


AMA (American Medical Association) Style

Shelja Jhamb, Dr. Amanpreet Singh, Salil Kumar, Mamta Parmar. CONVERGENCE ANALYSIS OF LAGRANGIAN FUNCTION USING ITERATIVE METHODS. JCR. 2020; 7(17): 2389-2397. doi:10.31838/jcr.07.17.295



Vancouver/ICMJE Style

Shelja Jhamb, Dr. Amanpreet Singh, Salil Kumar, Mamta Parmar. CONVERGENCE ANALYSIS OF LAGRANGIAN FUNCTION USING ITERATIVE METHODS. JCR. (2020), [cited June 03, 2021]; 7(17): 2389-2397. doi:10.31838/jcr.07.17.295



Harvard Style

Shelja Jhamb, Dr. Amanpreet Singh, Salil Kumar, Mamta Parmar (2020) CONVERGENCE ANALYSIS OF LAGRANGIAN FUNCTION USING ITERATIVE METHODS. JCR, 7 (17), 2389-2397. doi:10.31838/jcr.07.17.295



Turabian Style

Shelja Jhamb, Dr. Amanpreet Singh, Salil Kumar, Mamta Parmar. 2020. CONVERGENCE ANALYSIS OF LAGRANGIAN FUNCTION USING ITERATIVE METHODS. Journal of Critical Reviews, 7 (17), 2389-2397. doi:10.31838/jcr.07.17.295



Chicago Style

Shelja Jhamb, Dr. Amanpreet Singh, Salil Kumar, Mamta Parmar. "CONVERGENCE ANALYSIS OF LAGRANGIAN FUNCTION USING ITERATIVE METHODS." Journal of Critical Reviews 7 (2020), 2389-2397. doi:10.31838/jcr.07.17.295



MLA (The Modern Language Association) Style

Shelja Jhamb, Dr. Amanpreet Singh, Salil Kumar, Mamta Parmar. "CONVERGENCE ANALYSIS OF LAGRANGIAN FUNCTION USING ITERATIVE METHODS." Journal of Critical Reviews 7.17 (2020), 2389-2397. Print. doi:10.31838/jcr.07.17.295



APA (American Psychological Association) Style

Shelja Jhamb, Dr. Amanpreet Singh, Salil Kumar, Mamta Parmar (2020) CONVERGENCE ANALYSIS OF LAGRANGIAN FUNCTION USING ITERATIVE METHODS. Journal of Critical Reviews, 7 (17), 2389-2397. doi:10.31838/jcr.07.17.295