Optimal Newton-type methods for nonconvex smooth optimization problems

Original language	English
Place of Publication	Namur
Publisher	Namur center for complex systems
Publication status	Published - 2011

Research output

Research output per year 2013 2013 2015 2022 2022

• 2 Working paper
• 1 Book

Research output per year

Research output per year

• Evaluation complexity of algorithms for nonconvex optimization

  Cartis, C., Gould, N. I. M. & TOINT, P., Jul 2022, SIAM. 600 p. (SIAM-MOS Series on Optimization)

  Research output: Book/Report/Journal › Book

• Improved worst-case evaluation complexity for potentially rank-deficient nonlinear least-Euclidean-norm problems using higher-order regularized models

  Cartis, C., Gould, N. I. M. & Toint, P., 18 Nov 2015, 18 p. (naXys technical report).

  Research output: Working paper

  File

  • Model 100%
  • Norm 100%
  • Order 100%
  • Evaluation 100%
  • Complexity 100%

• An example of slow convergence for Newton's method on a function with globally Lipschitz continuous Hessian

  Cartis, C., Gould, N. I. M. & Toint, P., 5 May 2013, Namur center for complex systems, 9 p.

  Research output: Working paper

  File

  • Newton Method 100%
  • Lipschitz 100%
  • Functions 100%
  • Newton's Method 100%
  • Slow Convergence 100%

Projects

Projects per year 1987 1987 2008 2008

• 2 Active

Projects per year

• Complexity in nonlinear optimization

  Toint, P., Gould, N. I. M. & Cartis, C.

  1/11/08 → …

  Project: Research

  • Complexity 100%
  • Evaluation 65%
  • Algorithms 50%
  • Order 48%
  • Regularization 29%

• ADALGOPT: ADALGOPT - Advanced algorithms in nonlinear optimization

  Sartenaer, A. & Toint, P.

  1/01/87 → …

  Project: Research Axis

  • Algorithms 100%
  • Algorithm 73%
  • Nonlinear 64%
  • Complexity 64%
  • Order 46%

Activities

Activities per year 2015 2015 2016 2016

• 3 Oral presentation

Activities per year

• How much patience do you have? Issues in complexity for nonlinear optimization

  Philippe Toint (Invited speaker)

  5 Feb 2016

  Activity: Talk or presentation types › Oral presentation

• How much patience do you have? Issues in complexity for nonlinear optimization

  Philippe Toint (Speaker)

  31 Jan 2016

  Activity: Talk or presentation types › Oral presentation

• How much patience do you have? Issues in complexity for nonlinear optimization

  Philippe Toint (Invited speaker)

  10 Dec 2015

  Activity: Talk or presentation types › Oral presentation

Cite this

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Cartis, C., Gould, N., & Toint, P. (2011). Optimal Newton-type methods for nonconvex smooth optimization problems. Namur center for complex systems.

Cartis, Coralia ; Gould, Nick ; Toint, Philippe. / Optimal Newton-type methods for nonconvex smooth optimization problems. Namur : Namur center for complex systems, 2011.

@book{e302ff3a20204b81a2a65a15fd136b0f,

title = "Optimal Newton-type methods for nonconvex smooth optimization problems",

author = "Coralia Cartis and Nick Gould and Philippe Toint",

note = "Publication code : FP SB092/2011/17 ; SB04977/2011/17",

year = "2011",

language = "English",

publisher = "Namur center for complex systems",

}

Cartis, C, Gould, N & Toint, P 2011, Optimal Newton-type methods for nonconvex smooth optimization problems. Namur center for complex systems, Namur.

Optimal Newton-type methods for nonconvex smooth optimization problems. / Cartis, Coralia; Gould, Nick; Toint, Philippe.
Namur: Namur center for complex systems, 2011.

Research output: Book/Report/Journal › Other report

TY - BOOK

T1 - Optimal Newton-type methods for nonconvex smooth optimization problems

AU - Cartis, Coralia

AU - Gould, Nick

AU - Toint, Philippe

N1 - Publication code : FP SB092/2011/17 ; SB04977/2011/17

PY - 2011

Y1 - 2011

M3 - Other report

BT - Optimal Newton-type methods for nonconvex smooth optimization problems

PB - Namur center for complex systems

CY - Namur

ER -

Cartis C, Gould N, Toint P. Optimal Newton-type methods for nonconvex smooth optimization problems. Namur: Namur center for complex systems, 2011.