Concepedia

Eigenvalue Problems

Eigenvalue Problems is a class of linear operator equations in which one seeks nontrivial vectors or functions \(u\) and scalars \(\lambda\) satisfying \(L u = \lambda u\) under prescribed boundary or normalization conditions, particularly for differential operators arising in partial differential equations and their finite element discretizations.

18.1K

Publications

894.2K

Citations

18.2K

Authors

3.6K

Institutions

Publications per year

2017–2026

1.9K

Variants

Eigenvalue Problem

Parents

Children

Publications

18.1K

The Algebraic Eigenvalue Problem

E. I., J. H. Wilkinson · Mathematics of Computation · 1966 · 5.2K citations

, , +11

An iteration method for the solution of the eigenvalue problem of linear differential and integral operators

Cornelius Lanczos · Journal of research of the National Bureau of Standards · 1950 · 4.4K citations · Full text

, , +16

A Multilinear Singular Value Decomposition

Lieven De Lathauwer, Bart De Moor, Joos Vandewalle · SIAM Journal on Matrix Analysis and Applications · 2000 · 4.2K citations · Full text

, , +16

Advanced engineering mathematics

Choice Reviews Online · 1998 · 4.1K citations

, , +17

Matrix analysis and applied linear algebra

Choice Reviews Online · 2001 · 3.4K citations

, , +14

1–5 of 18.1K

Authors

18.2K

  1. BS
    Barry Simon

    California Institute of Technology, United States

    46 publications · 3.8K citations

    33

    h-index

  2. DO
    Donal O’Regan

    Ollscoil na Gaillimhe – University of Galway, Ireland

    42 publications · 2.1K citations

    27

    h-index

  3. VM
    Volker Mehrmann

    Technische Universität Berlin, Germany

    31 publications · 2.6K citations

    26

    h-index

  4. BΝ
    Beresford Ν. Parlett

    University of California, Berkeley, United States

    30 publications · 3.6K citations

    25

    h-index

  5. LQ
    Liqun Qi

    Hong Kong Polytechnic University, Hong Kong SAR China

    38 publications · 3.9K citations

    25

    h-index

1–5 of 18.2K

Institutions

3.6K

  1. Centre National de la Recherche Scientifique

    Paris, France

    62 h-index

    519 publications

    23.3K citations

  2. University of California, Berkeley

    Berkeley, United States

    51 h-index

    176 publications

    12.9K citations

  3. California Institute of Technology

    Pasadena, United States

    48 h-index

    167 publications

    10.2K citations

  4. Massachusetts Institute of Technology

    Cambridge, United States

    47 h-index

    157 publications

    20.9K citations

  5. Princeton University

    Princeton, United States

    47 h-index

    151 publications

    13.9K citations

  6. Stanford University

    Stanford, United States

    46 h-index

    176 publications

    19.7K citations

  7. Courant Institute of Mathematical Sciences

    New York, United States

    45 h-index

    117 publications

    13K citations

  8. University of Chicago

    Chicago, United States

    39 h-index

    83 publications

    7.5K citations

1–8 of 3.6K

Venues

  1. Linear Algebra and its Applications

    893 publications · 36K citations

    85

    h-index

  2. SIAM Journal on Matrix Analysis and Applications

    378 publications · 28.3K citations

    72

    h-index

  3. Journal of Differential Equations

    378 publications · 16.6K citations

    69

    h-index

  4. Journal of Mathematical Analysis and Applications

    568 publications · 21.4K citations

    65

    h-index

  5. Journal of Functional Analysis

    292 publications · 18.2K citations

    63

    h-index

1–5