Superlinear convergence of Broyden’s method and BFGS algorithm using Kantorovich-type assumptions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.113204 ◽

2021 ◽

Vol 385 ◽

pp. 113204

Author(s):

S.H. Lui ◽

Sarah Nataj

Keyword(s):

Superlinear Convergence ◽

Broyden’S Method ◽

Broyden's Method ◽

Kantorovich Type Assumptions

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A New Proof of Superlinear Convergence for Broyden’s Method in Hilbert Space

SIAM Journal on Optimization ◽

10.1137/0801011 ◽

1991 ◽

Vol 1 (1) ◽

pp. 146-150 ◽

Author(s):

C. T. Kelley ◽

E. W. Sachs

Keyword(s):

Hilbert Space ◽

Superlinear Convergence ◽

Broyden’S Method ◽

Broyden's Method

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Modified Broyden’s method for accelerating convergence in self-consistent calculations

Physical Review B ◽

10.1103/physrevb.38.12807 ◽

1988 ◽

Vol 38 (18) ◽

pp. 12807-12813 ◽

Author(s):

D. D. Johnson

Keyword(s):

Broyden’S Method ◽

Self Consistent ◽

Broyden's Method

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7. Broyden's Method

Iterative Methods for Linear and Nonlinear Equations ◽

10.1137/1.9781611970944.ch7 ◽

1995 ◽

pp. 113-133

Keyword(s):

Broyden’S Method ◽

Broyden's Method

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Broyden's method for self-consistent field convergence acceleration

Journal of Physics A General Physics ◽

10.1088/0305-4470/17/13/525 ◽

1984 ◽

Vol 17 (13) ◽

pp. 2737-2737 ◽

Author(s):

G P Srivastava

Keyword(s):

Convergence Acceleration ◽

Broyden’S Method ◽

Consistent Field ◽

Self Consistent ◽

Self Consistent Field ◽

Broyden's Method

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An Inverse Free Broyden's Method

10.1201/9781003128915-13 ◽

2021 ◽

pp. 273-288

Author(s):

Ioannis K. Argyros

Keyword(s):

Broyden’S Method ◽

Broyden's Method

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Broyden’s Method with Regularly Continuous Divided Differences

Intelligent Numerical Methods: Applications to Fractional Calculus - Studies in Computational Intelligence ◽

10.1007/978-3-319-26721-0_19 ◽

2015 ◽

pp. 309-316

Author(s):

George A. Anastassiou ◽

Ioannis K. Argyros

Keyword(s):

Divided Differences ◽

Broyden’S Method ◽

Broyden's Method

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Broyden's method in Hilbert space

Mathematical Programming ◽

10.1007/bf01589442 ◽

1986 ◽

Vol 35 (1) ◽

pp. 71-82 ◽

Author(s):

Ekkehard W. Sachs

Keyword(s):

Hilbert Space ◽

Broyden’S Method ◽

Broyden's Method

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4. Broyden's Method

Solving Nonlinear Equations with Newton's Method ◽

10.1137/1.9780898718898.ch4 ◽

2003 ◽

pp. 85-95

Keyword(s):

Broyden’S Method ◽

Broyden's Method

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Behavioral autonomous steady-state analysis using Broyden's method

42nd Midwest Symposium on Circuits and Systems (Cat. No.99CH36356) ◽

10.1109/mwscas.1999.867791 ◽

2003 ◽

Author(s):

U. Ekambaram ◽

S.M. Kang ◽

R.A. Saleh

Keyword(s):

Steady State ◽

Steady State Analysis ◽

Broyden’S Method ◽

Broyden's Method ◽

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Alternate Broyden’s method for solving linear least squares problem with multiple right-hand sides

Journal of Shanghai University (English Edition) ◽

10.1007/s11741-997-0021-5 ◽

1997 ◽

Vol 1 (3) ◽

pp. 196-201

Author(s):

Guiding Gu

Keyword(s):

Least Squares ◽

Linear Least Squares ◽

Least Squares Problem ◽

Broyden’S Method ◽

Linear Least Squares Problem ◽

Broyden's Method

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