On the Local Convergence of Update Methods

Werner C. Rheinboldt, James S. Vandergraft

Type: Article

Publication Date: 1974-10-01

Citations: 12

DOI: https://doi.org/10.1137/0711082

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Locations

SIAM Journal on Numerical Analysis - View

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Works That Cite This (10)

Action	Title	Year	Authors
+	On the convergence rate of imperfect minimization algorithms in Broyden'sβ-class	1975	Josef Stoer
+	Discretized Euler–Chebyshev Multistep Methods	1976	Gerd-Peter Ehle H. Schwetlick
+	Efficient optimization methods for maximum likelihood parameter estimation	1985	James S. Vandergraft
+	A quasi-Newton method can be obtained from a method of conjugate directions	1978	Michael J. Best
+	A note on solution of large sparse systems of nonlinear equations	1978	R. P. Tewarson J.L. Stephenson L.L Juang
+	On the order of convergence of certain Quasi-Newton-methods	1974	G�nther Schuller
+	On the solution of large, sparse sets of nonlinear equations	1975	Werner C. Rheinboldt
+	A unified derivation of quasi-Newton methods for solving non-sparse and sparse nonlinear equations	1979	R. P. Tewarson
+	Practical quasi-Newton methods for solving nonlinear systems	2000	J. M. Martı́nez
+ PDF Chat	Predictive Mixing for Density Functional Theory (and Other Fixed-Point Problems)	2021	Laurence D. Marks

Works Cited by This (16)

Action	Title	Year	Authors
+ PDF Chat	The convergence of single-rank quasi-Newton methods	1970	C. G. Broyden
+ PDF Chat	A class of methods for solving nonlinear simultaneous equations	1965	C. G. Broyden
+ PDF Chat	Conditioning of quasi-Newton methods for function minimization	1970	David F. Shanno
+	Recent advances in unconstrained optimization	1971	M. J. D. Powell
+ PDF Chat	A Rapidly Convergent Descent Method for Minimization	1963	R. Fletcher M. J. D. Powell
+ PDF Chat	Quasi-Newton methods and their application to function minimisation	1967	C. G. Broyden
+ PDF Chat	A family of variable-metric methods derived by variational means	1970	Donald Goldfarb
+	Variable metric methods of minimisation	1969	J. Pearson
+	Numerical Methods for Unconstrained Optimization	1975	G. Giftson Samuel Walter Murray
+	Variations on Variable-Metric Methods	1970	John Greenstadt