Concepedia

Second-order Optimization

Second-Order Optimization is a gradient-based optimization method that employs second-order derivatives, specifically the Hessian matrix, to determine the curvature of the objective function and thereby achieve faster convergence compared to first-order methods.

784

Publications

57.8K

Citations

1.5K

Authors

709

Institutions

Publications per year

2017–2026

221

Variants

Second-order Optimization Methods

Parents

Publications

784

Practical methods of optimization

Mathematics and Computers in Simulation · 1988 · 5.9K citations

, , +11

Applications of second-order cone programming

Miguel Sousa Lobo, Lieven Vandenberghe, Stephen Boyd et al. · Linear Algebra and its Applications · 1998 · 2.4K citations

, , +11

The extragradient method for finding saddle points and other problems

G. M. Korpelevich · Medical Entomology and Zoology · 1976 · 1.6K citations

, , +13

On the Implementation of a Primal-Dual Interior Point Method

Sanjay Mehrotra · SIAM Journal on Optimization · 1992 · 1.6K citations

, , +12

First- and Second-Order Methods for Learning: Between Steepest Descent and Newton's Method

Roberto Battiti · Neural Computation · 1992 · 1.2K citations

, , +16

1–5 of 784

Authors

1.5K

  1. PL
    Philippe L. Toint

    University of Namur, Belgium

    12 publications · 725 citations

    12

    h-index

  2. NI
    Nicholas I. M. Gould

    Rutherford Appleton Laboratory, United Kingdom

    12 publications · 685 citations

    12

    h-index

  3. CC
    Coralia Cartis

    University of Oxford, United Kingdom

    9 publications · 847 citations

    9

    h-index

  4. MW
    Michael W. Mahoney

    University of California, Berkeley, United States

    7 publications · 547 citations

    7

    h-index

  5. RT
    R. T. Rockafellar

    University of Washington, United States

    7 publications · 674 citations

    7

    h-index

1–5 of 1.5K

Institutions

709

  1. University of California, Berkeley

    Berkeley, United States

    16 h-index

    28 publications

    2.6K citations

  2. Massachusetts Institute of Technology

    Cambridge, United States

    13 h-index

    23 publications

    1.7K citations

  3. Stanford University

    Stanford, United States

    13 h-index

    21 publications

    7.9K citations

  4. Princeton University

    Princeton, United States

    12 h-index

    20 publications

    3.5K citations

  5. Institut national de recherche en sciences et technologies du numérique

    Le Chesnay-Rocquencourt, France

    11 h-index

    18 publications

    2.1K citations

  6. Rutherford Appleton Laboratory

    Didcot, United Kingdom

    10 h-index

    11 publications

    963 citations

  7. UCLouvain

    Louvain-la-Neuve, Belgium

    10 h-index

    13 publications

    1.1K citations

  8. University of Namur

    Namur, Belgium

    10 h-index

    12 publications

    1.5K citations

1–8 of 709

Venues

  1. SIAM Journal on Optimization

    57 publications · 5.8K citations

    36

    h-index

  2. Mathematical Programming

    46 publications · 2.7K citations

    29

    h-index

  3. arXiv (Cornell University)

    Repository · 51 publications · 2.8K citations

    29

    h-index

  4. Journal of Optimization Theory and Applications

    51 publications · 2.7K citations

    25

    h-index

  5. Computational Optimization and Applications

    18 publications · 729 citations

    14

    h-index

1–5