Concepedia

Jacobian Transformations

Jacobian Transformations is a mathematical framework in coordinate transformations that characterizes the local behavior of a transformation between coordinate systems by defining the matrix of all first-order partial derivatives of a vector-valued function, thereby quantifying how infinitesimal volumes and orientations change under nonlinear mappings.

327

Publications

14.5K

Citations

738

Authors

373

Institutions

Publications per year

2017–2026

36

Parents

Publications

327

The Jacobian matrix and global univalence of mappings

David Gale, Hukukane Nikaidô · Mathematische Annalen · 1965 · 675 citations

, , +9

Transforming gravity: From derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian

Miguel Zumalacárregui, J. García-Bellido · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology · 2014 · 552 citations · Full text

, , +16

Characterization of Jacobian varieties in terms of soliton equations

Takahiro Shiota · Inventiones mathematicae · 1986 · 319 citations

, , +12

Closed-Loop Inverse Kinematics Schemes for Constrained Redundant Manipulators with Task Space Augmentation and Task Priority Strategy

Pasquale Chiacchio, S. Chiaverini, L. Sciavicco et al. · The International Journal of Robotics Research · 1991 · 304 citations

, , +17

Vec and vech operators for matrices, with some uses in jacobians and multivariate statistics

H. V. Henderson, S. R. Searle · Canadian Journal of Statistics · 1979 · 298 citations

, , +13

1–5 of 327

Authors

738

  1. IO
    Ingram Olkin

    Stanford University, United States

    5 publications · 429 citations

    5

    h-index

  2. SL
    Steven L. Kleiman

    Massachusetts Institute of Technology, United States

    3 publications · 109 citations

    3

    h-index

  3. BS
    Bruno Siciliano

    University of Naples Federico II, Italy

    3 publications · 333 citations

    3

    h-index

  4. AV
    Arno van den Essen

    Radboud University Nijmegen, Netherlands

    3 publications · 61 citations

    3

    h-index

  5. JG
    Jordi Guàrdia

    Universitat Autònoma de Barcelona, Spain

    3 publications · 54 citations

    3

    h-index

1–5 of 738

Institutions

373

  1. Massachusetts Institute of Technology

    Cambridge, United States

    9 h-index

    13 publications

    1.1K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    8 h-index

    13 publications

    911 citations

  3. Charles University

    Prague, Czechia

    6 h-index

    13 publications

    717 citations

  4. Stanford University

    Stanford, United States

    5 h-index

    6 publications

    173 citations

  5. University of Illinois Urbana-Champaign

    Urbana, United States

    4 h-index

    10 publications

    784 citations

  6. University of Oxford

    Oxford, United Kingdom

    3 h-index

    3 publications

    114 citations

  7. Lanzhou University

    Lanzhou, China

    3 h-index

    4 publications

    74 citations

  8. European Centre for Medium-Range Weather Forecasts

    Reading, United Kingdom

    3 h-index

    3 publications

    171 citations

1–8 of 373

Venues

  1. Journal of Pure and Applied Algebra

    10 publications · 224 citations

    10

    h-index

  2. Journal of Algebra

    7 publications · 215 citations

    7

    h-index

  3. IEEE Transactions on Power Systems

    7 publications · 218 citations

    7

    h-index

  4. The International Journal of Robotics Research

    IJRR · 6 publications · 774 citations

    6

    h-index

  5. Advances in Mathematics

    5 publications · 182 citations

    5

    h-index

1–5