Concepedia

Ill-posedness Analysis

Ill-Posedness Analysis is a methodological framework within electromagnetic inverse problems that characterizes the instability, non-uniqueness, or non-continuity of solutions with respect to input data perturbations, thereby distinguishing it from forward analysis and well-posed solution techniques.

1.6K

Publications

74.2K

Citations

2.3K

Authors

1K

Institutions

Publications per year

2017–2026

331

Parents

Publications

1.6K

Analysis of Discrete Ill-Posed Problems by Means of the L-Curve

Per Christian Hansen · SIAM Review · 1992 · 3.8K citations

, , +15

REGULARIZATION TOOLS: A Matlab package for analysis and solution of discrete ill-posed problems

Per Christian Hansen · Numerical Algorithms · 1994 · 1.7K citations

, , +15

Analysis of bounded variation penalty methods for ill-posed problems

Rüyam Acar, C. R. Vogel · Inverse Problems · 1994 · 822 citations

, , +15

A general formulation of alternating direction methods

Jim Douglas, James E. Gunn · Numerische Mathematik · 1964 · 711 citations

, , +9

A convergence analysis of the Landweber iteration for nonlinear ill-posed problems

Martin Hanke, Andreas B. Neubauer, Otmar Scherzer · Numerische Mathematik · 1995 · 624 citations

, , +14

1–5 of 1.6K

Authors

2.3K

  1. LR
    Lothar Reichel

    Kent State University, United States

    29 publications · 1.5K citations

    19

    h-index

  2. BH
    Bernd Hofmann

    Chemnitz University of Technology, Germany

    26 publications · 966 citations

    19

    h-index

  3. MY
    Masahiro Yamamoto

    The University of Tokyo, Japan

    16 publications · 636 citations

    15

    h-index

  4. OS
    Otmar Scherzer

    University of Vienna, Austria

    15 publications · 1.8K citations

    14

    h-index

  5. AB
    Andreas B. Neubauer

    DIPF | Leibniz Institute for Research and Information in Education, Germany

    14 publications · 1.9K citations

    14

    h-index

1–5 of 2.3K

Institutions

1K

  1. Centre National de la Recherche Scientifique

    Paris, France

    30 h-index

    92 publications

    4.8K citations

  2. Johannes Kepler University of Linz

    Linz, Austria

    22 h-index

    35 publications

    5.1K citations

  3. Chemnitz University of Technology

    Chemnitz, Germany

    21 h-index

    48 publications

    1.6K citations

  4. Kent State University

    Kent, United States

    19 h-index

    43 publications

    1.8K citations

  5. Université Paris Cité

    Paris, France

    15 h-index

    21 publications

    1.2K citations

  6. The University of Tokyo

    Tokyo, Japan

    15 h-index

    25 publications

    794 citations

  7. Chinese Academy of Sciences

    Beijing, China

    15 h-index

    24 publications

    1.8K citations

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

    Le Chesnay-Rocquencourt, France

    14 h-index

    21 publications

    1.3K citations

1–8 of 1K

Venues

  1. Inverse Problems

    156 publications · 9.8K citations

    52

    h-index

  2. Journal of Differential Equations

    48 publications · 1.6K citations

    25

    h-index

  3. Journal of Inverse and Ill-Posed Problems

    44 publications · 1K citations

    22

    h-index

  4. Journal of Mathematical Analysis and Applications

    40 publications · 1.7K citations

    20

    h-index

  5. SIAM Journal on Mathematical Analysis

    23 publications · 1.7K citations

    18

    h-index

1–5