Concepedia

A Characterization of Superlinear Convergence and Its Application to Quasi-Newton Methods

J. E. Dennis, Jorge J. Morè

Mathematics of Computation · 1974 · 72 citations · 8 references

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Abstract

Let F be a mapping from real -dimensional Euclidean space into itself. Most practical algorithms for finding a zero of F are of the form

References

8

Iterative Solution of Nonlinear Equations in Several Variables

E. I., J. M. Ortega, Werner C. Rheinboldt · Mathematics of Computation · 1971 · 4.5K citations

, , +9

A new approach to variable metric algorithms

R. Fletcher · The Computer Journal · 1970 · 4.1K citations · Full text

, , +10

Unified approach to quadratically convergent algorithms for function minimization

H. Y. Huang · Journal of Optimization Theory and Applications · 1970 · 591 citations

, , +13

On the Local and Superlinear Convergence of Quasi-Newton Methods

C. G. Broyden, J. E. Dennis, Jorge J. Morè · IMA Journal of Applied Mathematics · 1973 · 503 citations

, , +15

On the Convergence of the Variable Metric Algorithm

M. J. D. Powell · IMA Journal of Applied Mathematics · 1971 · 200 citations

, , +10