Concepedia

Matrix Equation Solvers

Matrix Equation Solver is a computational method designed to systematically determine the unknown matrix that satisfies a given matrix equation, typically through algebraic manipulation, decomposition techniques, or iterative algorithms tailored to the structure and properties of the coefficient matrices involved.

1.7K

Publications

107.2K

Citations

2.5K

Authors

977

Institutions

Publications per year

2017–2026

227

Parents

Publications

1.7K

Methods of conjugate gradients for solving linear systems

Magnus R. Hestenes, Eduard Stiefel · Journal of research of the National Bureau of Standards · 1952 · 8K citations · Full text

, , +14

A generalized inverse for matrices

Roger Penrose · Mathematical Proceedings of the Cambridge Philosophical Society · 1955 · 4.5K citations · Full text

, , +12

Singular value decomposition and least squares solutions

Gene H. Golub, C. Reinsch · Numerische Mathematik · 1970 · 2.9K citations

, , +10

Algorithm 432 [C2]: Solution of the matrix equation AX + XB = C [F4]

Richard H. Bartels, G. W. Stewart · Communications of the ACM · 1972 · 1.9K citations · Full text

, , +9

An iterative solution method for linear systems of which the coefficient matrix is a symmetric 𝑀-matrix

J. A. Meijerink, H.A. van der Vorst · Mathematics of Computation · 1977 · 1.4K citations · Full text

, , +10

1–5 of 1.7K

Authors

2.5K

  1. MH
    Masoud Hajarian

    Shahid Beheshti University, Iran

    52 publications · 2.2K citations

    27

    h-index

  2. GD
    Guang‐Ren Duan

    Harbin Institute of Technology, China

    29 publications · 1.8K citations

    23

    h-index

  3. MD
    Mehdi Dehghan

    Amirkabir University of Technology, Iran

    30 publications · 1.5K citations

    23

    h-index

  4. QW
    Qing‐Wen Wang

    Shanghai University, China

    28 publications · 1.1K citations

    20

    h-index

  5. XH
    Xi-Yan Hu

    Hunan University, China

    16 publications · 598 citations

    16

    h-index

1–5 of 2.5K

Institutions

977

  1. Harbin Institute of Technology

    Harbin, China

    26 h-index

    92 publications

    4.9K citations

  2. Amirkabir University of Technology

    Tehran, Iran

    23 h-index

    55 publications

    2.8K citations

  3. Shahid Beheshti University

    Tehran, Iran

    23 h-index

    44 publications

    1.4K citations

  4. Shanghai University

    Shanghai, China

    21 h-index

    76 publications

    2.4K citations

  5. Hunan University

    Changsha, China

    20 h-index

    67 publications

    2.3K citations

  6. University of Illinois Urbana-Champaign

    Urbana, United States

    19 h-index

    44 publications

    2.7K citations

  7. Fujian Normal University

    Fuzhou, China

    14 h-index

    41 publications

    939 citations

  8. Fudan University

    Shanghai, China

    13 h-index

    17 publications

    794 citations

1–8 of 977

Venues

  1. SIAM Journal on Matrix Analysis and Applications

    86 publications · 5.1K citations

    41

    h-index

  2. Linear Algebra and its Applications

    83 publications · 4.8K citations

    38

    h-index

  3. Applied Mathematics and Computation

    80 publications · 3.1K citations

    32

    h-index

  4. IEEE Transactions on Automatic Control

    54 publications · 4.5K citations

    28

    h-index

  5. IEEE Transactions on Antennas and Propagation

    35 publications · 2.1K citations

    24

    h-index

1–5