Concepedia

High-order Eigenvalue Approximation

High-Order Eigenvalue Approximation is a numerical method in eigenvalue computation that achieves enhanced accuracy by employing higher-order discretization or asymptotic techniques to more precisely estimate eigenvalues of differential or matrix operators compared to standard-order approaches.

272

Publications

13.1K

Citations

461

Authors

296

Institutions

Publications per year

2017–2026

23

Parents

Publications

272

The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices

Ernest R. Davidson · Journal of Computational Physics · 1975 · 2.5K citations

, , +15

A method for simplifying linear dynamic systems

IEEE Transactions on Automatic Control · 1966 · 637 citations

, , +15

Finding the Largest Eigenvalue of a Nonnegative Tensor

Michael K. Ng, Liqun Qi, Guanglu Zhou · SIAM Journal on Matrix Analysis and Applications · 2009 · 329 citations

, , +14

Rational Krylov sequence methods for eigenvalue computation

Axel Ruhe · Linear Algebra and its Applications · 1984 · 320 citations

, , +13

An Implementation of the Look-Ahead Lanczos Algorithm for Non-Hermitian Matrices

Roland W. Freund, Martin H. Gutknecht, Noël M. Nachtigal · SIAM Journal on Scientific Computing · 1993 · 306 citations · Full text

, , +15

1–5 of 272

Authors

461

  1. QL
    Qun Lin

    Academy of Mathematics and Systems Science, China

    5 publications · 152 citations

    5

    h-index

  2. MH
    Martin H. Gutknecht

    ETH Zurich, Switzerland

    4 publications · 371 citations

    4

    h-index

  3. BC
    B. Chanane

    King Fahd University of Petroleum and Minerals, Saudi Arabia

    4 publications · 82 citations

    4

    h-index

  4. HX
    Hehu Xie

    Academy of Mathematics and Systems Science, China

    4 publications · 110 citations

    4

    h-index

  5. AZ
    Aihui Zhou

    Academy of Mathematics and Systems Science, China

    3 publications · 117 citations

    3

    h-index

1–5 of 461

Institutions

296

  1. Academy of Mathematics and Systems Science

    Beijing, China

    10 h-index

    18 publications

    566 citations

  2. Chinese Academy of Sciences

    Beijing, China

    7 h-index

    13 publications

    443 citations

  3. Guizhou Normal University

    Guiyang, China

    5 h-index

    14 publications

    450 citations

  4. ETH Zurich

    Zurich, Switzerland

    5 h-index

    5 publications

    362 citations

  5. Xiangtan University

    Xiangtan, China

    5 h-index

    6 publications

    116 citations

  6. Beijing Normal University

    Beijing, China

    4 h-index

    6 publications

    105 citations

  7. Ghent University

    Ghent, Belgium

    4 h-index

    8 publications

    424 citations

  8. University of Southampton

    Southampton, United Kingdom

    4 h-index

    6 publications

    285 citations

1–8 of 296

Venues

  1. Linear Algebra and its Applications

    12 publications · 819 citations

    12

    h-index

  2. Journal of Computational Physics

    13 publications · 3.1K citations

    12

    h-index

  3. SIAM Journal on Numerical Analysis

    10 publications · 308 citations

    10

    h-index

  4. Mathematics of Computation

    MCOM · 10 publications · 318 citations

    10

    h-index

  5. 8

    h-index

1–5