On a general convergence for Broyden like update method

The role of Broyden's method as a powerful quasi-Newton method for solving unconstrained optimization problems or a system of nonlinear algebraic equations is well known. We offer here a general convergence criterion for a method akin to Broyden's method in Rn. The approach is different fr...

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Bibliographic Details
Main Authors:	Rabindranath Sen, Rini Chattopadhyay, Tripti Saha
Format:	Article
Language:	English
Published:	Hindawi Limited 1991-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Subjects:	unconstrained optimization Broyden's method partial ordering in Rn M-matrix.
Online Access:	http://dx.doi.org/10.1155/S016117129100042X

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spelling	doaj-c0ce2adf7b7948a69199aec648a559c92020-11-24T23:26:22ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114234936110.1155/S016117129100042XOn a general convergence for Broyden like update methodRabindranath Sen0Rini Chattopadhyay1Tripti Saha2Department of Applied Mathematics, Calcutta University, 92, A.P.C. Road, Calcutta 700009, IndiaDepartment of Applied Mathematics, Calcutta University, 92, A.P.C. Road, Calcutta 700009, IndiaDepartment of Applied Mathematics, Calcutta University, 92, A.P.C. Road, Calcutta 700009, IndiaThe role of Broyden's method as a powerful quasi-Newton method for solving unconstrained optimization problems or a system of nonlinear algebraic equations is well known. We offer here a general convergence criterion for a method akin to Broyden's method in Rn. The approach is different from those of other convergence proofs which are available only for the direct prediction methods.http://dx.doi.org/10.1155/S016117129100042Xunconstrained optimizationBroyden's methodpartial ordering in RnM-matrix.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Rabindranath Sen Rini Chattopadhyay Tripti Saha
spellingShingle	Rabindranath Sen Rini Chattopadhyay Tripti Saha On a general convergence for Broyden like update method International Journal of Mathematics and Mathematical Sciences unconstrained optimization Broyden's method partial ordering in Rn M-matrix.
author_facet	Rabindranath Sen Rini Chattopadhyay Tripti Saha
author_sort	Rabindranath Sen
title	On a general convergence for Broyden like update method
title_short	On a general convergence for Broyden like update method
title_full	On a general convergence for Broyden like update method
title_fullStr	On a general convergence for Broyden like update method
title_full_unstemmed	On a general convergence for Broyden like update method
title_sort	on a general convergence for broyden like update method
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	1991-01-01
description	The role of Broyden's method as a powerful quasi-Newton method for solving unconstrained optimization problems or a system of nonlinear algebraic equations is well known. We offer here a general convergence criterion for a method akin to Broyden's method in Rn. The approach is different from those of other convergence proofs which are available only for the direct prediction methods.
topic	unconstrained optimization Broyden's method partial ordering in Rn M-matrix.
url	http://dx.doi.org/10.1155/S016117129100042X
work_keys_str_mv	AT rabindranathsen onageneralconvergenceforbroydenlikeupdatemethod AT rinichattopadhyay onageneralconvergenceforbroydenlikeupdatemethod AT triptisaha onageneralconvergenceforbroydenlikeupdatemethod
_version_	1725555499615649792

On a general convergence for Broyden like update method

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