Optimal conditioning of self-scaling variable Metric algorithms

Shmuel S. Oren; Emilio Spedicato

doi:10.1007/bf01580654

Optimal conditioning of self-scaling variable Metric algorithms

Mathematical Programming ◽

10.1007/bf01580654 ◽

1976 ◽

Vol 10 (1) ◽

pp. 70-90 ◽

Cited By ~ 130

Author(s):

Shmuel S. Oren ◽

Emilio Spedicato

Keyword(s):

Variable Metric ◽

Variable Metric Algorithms ◽

Optimal Conditioning

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A class of polynomial variable metric algorithms for linear optimization

Mathematical Programming ◽

10.1007/bf02592202 ◽

1996 ◽

Vol 74 (3) ◽

pp. 319-331 ◽

Cited By ~ 6

Author(s):

T. Rapcsák ◽

T. T. Thang

Keyword(s):

Linear Optimization ◽

Variable Metric ◽

Variable Metric Algorithms

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Self-scaling variable metric algorithms without line search for unconstrained minimization

Mathematics of Computation ◽

10.1090/s0025-5718-1973-0329259-8 ◽

1973 ◽

Vol 27 (124) ◽

pp. 873-873 ◽

Cited By ~ 24

Author(s):

Shmuel S. Oren

Keyword(s):

Line Search ◽

Unconstrained Minimization ◽

Variable Metric ◽

Variable Metric Algorithms

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Conditions for variable-metric algorithms to be conjugate-gradient algorithms

Journal of Optimization Theory and Applications ◽

10.1007/bf00935363 ◽

1983 ◽

Vol 41 (3) ◽

pp. 439-450

Author(s):

D. G. McDowell

Keyword(s):

Conjugate Gradient ◽

Variable Metric ◽

Conjugate Gradient Algorithms ◽

Gradient Algorithms ◽

Variable Metric Algorithms

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Corrigenda: ‘‘Self-scaling variable metric algorithms without line search for unconstrained minimization” (Math. Comp. {\bf 27} (1973), 873–885)

Mathematics of Computation ◽

10.1090/s0025-5718-1974-0343617-8 ◽

1974 ◽

Vol 28 (127) ◽

pp. 887

Author(s):

Shmuel S. Oren

Keyword(s):

Line Search ◽

Unconstrained Minimization ◽

Variable Metric ◽

Variable Metric Algorithms

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Variable Metric Algorithms

Encyclopedia of Applied and Computational Mathematics ◽

10.1007/978-3-540-70529-1_478 ◽

2015 ◽

pp. 1515-1519

Author(s):

Ya-xiang Yuan

Keyword(s):

Variable Metric ◽

Variable Metric Algorithms

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Factorized variable metric algorithms for unconstrained optimization

Optimization Techniques - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0006587 ◽

2005 ◽

pp. 52-61

Author(s):

L. Grandinetti

Keyword(s):

Unconstrained Optimization ◽

Variable Metric ◽

Variable Metric Algorithms

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Descent to a Minimum I: Variable Metric Algorithms

Compact Numerical Methods for Computers ◽

10.1201/9781315139784-15 ◽

2018 ◽

pp. 186-196

Author(s):

J. C. Nash

Keyword(s):

Variable Metric ◽

Variable Metric Algorithms

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On the uniqueness of search directions in variable-metric algorithms

Journal of Optimization Theory and Applications ◽

10.1007/bf00935559 ◽

1973 ◽

Vol 11 (6) ◽

pp. 590-604 ◽

Cited By ~ 4

Author(s):

N. Adachi

Keyword(s):

Variable Metric ◽

Variable Metric Algorithms ◽

Search Directions

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Superlinearly convergent variable metric algorithms for general nonlinear programming problems

Mathematical Programming ◽

10.1007/bf01580395 ◽

1976 ◽

Vol 11 (1) ◽

pp. 263-282 ◽

Cited By ~ 327

Author(s):

Shih-Ping Han

Keyword(s):

Nonlinear Programming ◽

Variable Metric ◽

Variable Metric Algorithms ◽

General Nonlinear Programming

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A new approach to variable metric algorithms

The Computer Journal ◽

10.1093/comjnl/13.3.317 ◽

1970 ◽

Vol 13 (3) ◽

pp. 317-322 ◽

Cited By ~ 2159

Author(s):

R. Fletcher

Keyword(s):

New Approach ◽

Variable Metric ◽

Variable Metric Algorithms

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