Concepedia

Jacobian Approximation

Jacobian Approximation is a numerical method used in root-finding algorithms to estimate the Jacobian matrix of a multivariate vector-valued function when exact derivatives are unavailable or computationally prohibitive, typically by finite-difference or secant-based techniques.

200

Publications

11.8K

Citations

413

Authors

218

Institutions

Publications per year

2017–2026

30

Parents

Publications

200

Jacobian-free Newton–Krylov methods: a survey of approaches and applications

D. A. Knoll, David E. Keyes · Journal of Computational Physics · 2003 · 1.9K citations

, , +11

Algorithm 755: ADOL-C

Andreas Griewank, David Juedes, Jean Utke · ACM Transactions on Mathematical Software · 1996 · 745 citations · Full text

, , +14

Nonlinear control via approximate input-output linearization: the ball and beam example

John Hauser, Shankar Sastry, P.V. Kokotović · IEEE Transactions on Automatic Control · 1992 · 665 citations

, , +17

Computing in the Jacobian of a hyperelliptic curve

David G. Cantor · Mathematics of Computation · 1987 · 392 citations · Full text

, , +7

Two classes of multisecant methods for nonlinear acceleration

Haw‐ren Fang, Yousef Saad · Numerical Linear Algebra with Applications · 2008 · 321 citations

, , +16

1–5 of 200

Authors

413

  1. MY
    Mohammed Yusuf Waziri

    Bayero University Kano, Nigeria

    9 publications · 141 citations

    9

    h-index

  2. KT
    Krzysztof Tchoń

    Wrocław University of Science and Technology, Poland

    5 publications · 86 citations

    5

    h-index

  3. AG
    Andreas Griewank

    Humboldt-Universität zu Berlin, Germany

    4 publications · 916 citations

    4

    h-index

  4. TF
    Toshio Fukushima

    National Astronomical Observatory of Japan, Japan

    3 publications · 71 citations

    3

    h-index

  5. JE
    J. E. Dennis

    Rice University, United States

    3 publications · 252 citations

    3

    h-index

1–5 of 413

Institutions

218

  1. Wrocław University of Science and Technology

    Wroclaw, Poland

    7 h-index

    16 publications

    392 citations

  2. Technische Universität Dresden

    Dresden, Germany

    5 h-index

    8 publications

    1.6K citations

  3. Bayero University Kano

    Kano, Nigeria

    5 h-index

    7 publications

    93 citations

  4. Los Alamos National Laboratory

    Los Alamos, United States

    4 h-index

    4 publications

    2K citations

  5. Universiti Putra Malaysia

    Seri Kembangan, Malaysia

    4 h-index

    5 publications

    82 citations

  6. University of British Columbia

    Vancouver, Canada

    3 h-index

    4 publications

    293 citations

  7. University of Stuttgart

    Stuttgart, Germany

    3 h-index

    5 publications

    635 citations

  8. University of Wisconsin–Madison

    Madison, United States

    3 h-index

    5 publications

    370 citations

1–8 of 218

Venues

  1. SIAM Journal on Numerical Analysis

    13 publications · 684 citations

    13

    h-index

  2. Mathematics of Computation

    MCOM · 10 publications · 993 citations

    10

    h-index

  3. arXiv (Cornell University)

    Repository · 6 publications · 122 citations

    6

    h-index

  4. Optimization methods & software

    6 publications · 188 citations

    6

    h-index

  5. ACM Transactions on Mathematical Software

    TOMS · 5 publications · 897 citations

    5

    h-index

1–5