On the influence of the critical lagrange multipliers on the convergence rate of the multiplier method

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542512110073 ◽

2012 ◽

Vol 52 (11) ◽

pp. 1504-1519 ◽

Author(s):

A. F. Izmailov ◽

E. I. Uskov

Keyword(s):

Convergence Rate ◽

Lagrange Multipliers ◽

Multiplier Method ◽

Critical Lagrange Multipliers

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Rejoinder on: Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it

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10.1007/s11750-015-0373-0 ◽

2015 ◽

Vol 23 (1) ◽

pp. 48-52 ◽

Author(s):

A. F. Izmailov ◽

M. V. Solodov

Keyword(s):

Lagrange Multipliers ◽

Critical Lagrange Multipliers

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Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it

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10.1007/s11750-015-0372-1 ◽

2015 ◽

Vol 23 (1) ◽

pp. 1-26 ◽

Author(s):

A. F. Izmailov ◽

M. V. Solodov

Keyword(s):

Lagrange Multipliers ◽

Critical Lagrange Multipliers

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Attraction of Newton method to critical Lagrange multipliers: fully quadratic case

Mathematical Programming ◽

10.1007/s10107-014-0777-x ◽

2014 ◽

Vol 152 (1-2) ◽

pp. 33-73 ◽

Author(s):

A. F. Izmailov ◽

E. I. Uskov

Keyword(s):

Newton Method ◽

Lagrange Multipliers ◽

Quadratic Case ◽

Critical Lagrange Multipliers

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Comments on: Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it

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10.1007/s11750-015-0371-2 ◽

2015 ◽

Vol 23 (1) ◽

pp. 43-47 ◽

Author(s):

Daniel P. Robinson

Keyword(s):

Lagrange Multipliers ◽

Critical Lagrange Multipliers

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Adjusting Dual Iterates in the Presence of Critical Lagrange Multipliers

SIAM Journal on Optimization ◽

10.1137/19m1255380 ◽

2020 ◽

Vol 30 (2) ◽

pp. 1555-1581

Author(s):

Andreas Fischer ◽

Alexey F. Izmailov ◽

Wladimir Scheck

Keyword(s):

Lagrange Multipliers ◽

Critical Lagrange Multipliers

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Comments on: Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it

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10.1007/s11750-015-0369-9 ◽

2015 ◽

Vol 23 (1) ◽

pp. 32-34 ◽

Author(s):

J. M. Martínez

Keyword(s):

Lagrange Multipliers ◽

Critical Lagrange Multipliers

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Comments on: Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it

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10.1007/s11750-015-0368-x ◽

2015 ◽

Vol 23 (1) ◽

pp. 27-31 ◽

Author(s):

Andreas Fischer

Keyword(s):

Lagrange Multipliers ◽

Critical Lagrange Multipliers

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On the attraction of Newton’s method to critical lagrange multipliers

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542513080125 ◽

2013 ◽

Vol 53 (8) ◽

pp. 1099-1112 ◽

Author(s):

E. I. Uskov

Keyword(s):

Newton’S Method ◽

Lagrange Multipliers ◽

Newton's Method ◽

Critical Lagrange Multipliers

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Comments on: Critical Lagrange multipliers: what we currently know about them, how they spoil our lives, and what we can do about it

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10.1007/s11750-015-0370-3 ◽

2015 ◽

Vol 23 (1) ◽

pp. 35-42 ◽

Author(s):

Boris S. Mordukhovich

Keyword(s):

Lagrange Multipliers ◽

Critical Lagrange Multipliers

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Accelerating convergence of a globalized sequential quadratic programming method to critical Lagrange multipliers

Computational Optimization and Applications ◽

10.1007/s10589-021-00317-z ◽

2021 ◽

Author(s):

A. F. Izmailov

Keyword(s):

Quadratic Programming ◽

Lagrange Multipliers ◽

Sequential Quadratic Programming ◽

Programming Method ◽

Sequential Quadratic Programming Method ◽

Quadratic Programming Method ◽

Critical Lagrange Multipliers

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