Concepedia

Functional Minimization

Functional Minimization is a variational method that seeks to identify extremal values of a functional by determining the function or configuration for which the functional attains a minimum, distinguished from other variational methods by its focus on minimality conditions within function spaces.

630

Publications

67.6K

Citations

1K

Authors

530

Institutions

Publications per year

2017–2026

55

Parents

Publications

630

A Simplex Method for Function Minimization

J. A. Nelder, R. Mead · The Computer Journal · 1965 · 28.9K citations

, , +8

An efficient method for finding the minimum of a function of several variables without calculating derivatives

M. J. D. Powell · The Computer Journal · 1964 · 4.6K citations

, , +9

Approximation of functional depending on jumps by elliptic functional via t‐convergence

Luigi Ambrosio, Vincenzo Maria Tortorelli · Communications on Pure and Applied Mathematics · 1990 · 1.4K citations

, , +12

Gradient methods for minimizing composite functions

Yu. Nesterov · Mathematical Programming · 2012 · 1.4K citations

, , +12

Convergence Conditions for Ascent Methods

Philip Wolfe · SIAM Review · 1969 · 1.1K citations

, , +17

1–5 of 630

Authors

1K

  1. FL
    Francesco Leonetti

    University of L'Aquila, Italy

    6 publications · 264 citations

    6

    h-index

  2. NF
    Nicola Fusco

    University of Naples Federico II, Italy

    6 publications · 622 citations

    6

    h-index

  3. VF
    V. F. Demyanov

    St Petersburg University, Russia

    6 publications · 160 citations

    6

    h-index

  4. AC
    Arrigo Cellina

    Scuola Internazionale Superiore di Studi Avanzati, Italy

    6 publications · 233 citations

    6

    h-index

  5. AT
    Atsushi Tachikawa

    Tokyo University of Science, Japan

    5 publications · 536 citations

    5

    h-index

1–5 of 1K

Institutions

530

  1. Scuola Internazionale Superiore di Studi Avanzati

    Trieste, Italy

    12 h-index

    20 publications

    652 citations

  2. University of Parma

    Parma, Italy

    10 h-index

    12 publications

    947 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    10 h-index

    22 publications

    526 citations

  4. Scuola Normale Superiore

    Pisa, Italy

    8 h-index

    10 publications

    2.2K citations

  5. University of Salerno

    Fisciano, Italy

    8 h-index

    10 publications

    637 citations

  6. Sorbonne Université

    Paris, France

    8 h-index

    14 publications

    1.5K citations

  7. University of Wisconsin–Madison

    Madison, United States

    7 h-index

    8 publications

    1.3K citations

  8. University of L'Aquila

    L’Aquila, Italy

    7 h-index

    7 publications

    274 citations

1–8 of 530

Venues

  1. Journal of Optimization Theory and Applications

    24 publications · 1.4K citations

    16

    h-index

  2. Journal of Mathematical Analysis and Applications

    17 publications · 1.7K citations

    15

    h-index

  3. Nonlinear Analysis

    22 publications · 728 citations

    15

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 14 publications · 576 citations

    13

    h-index

  5. 12

    h-index

1–5