Concepedia

Cramer's Rule

Cramer's Rule is a mathematical theorem in linear algebra that provides an explicit solution to a system of linear equations with as many equations as unknowns, expressing each variable as the ratio of two determinants, where the denominator is the determinant of the coefficient matrix and the numerator is the determinant of a modified matrix in which one column is replaced by the constants vector.

90

Publications

4.2K

Citations

133

Authors

98

Institutions

Publications per year

2017–2026

18

Parents

Publications

90

On the Distribution of the Two-Sample Cramer-von Mises Criterion

T. W. Anderson · The Annals of Mathematical Statistics · 1962 · 603 citations · Full text

, , +15

Cramér–Rao bounds for coprime and other sparse arrays, which find more sources than sensors

Chun-Lin Liu, P. P. Vaidyanathan · Digital Signal Processing · 2016 · 282 citations · Full text

, , +13

Doppler frequency estimation and the Cramer-Rao bound

Richard Bamler · IEEE Transactions on Geoscience and Remote Sensing · 1991 · 189 citations

, , +13

A bias-correction for Cramér’s and Tschuprow’s

Wicher Bergsma · Journal of the Korean Statistical Society · 2012 · 164 citations

, , +12

On the Cramer- Rao bound for time delay and Doppler estimation (Corresp.)

B. Friedlander · IEEE Transactions on Information Theory · 1984 · 127 citations

, , +14

1–5 of 90

Authors

133

  1. IK
    Ivan Kyrchei

    Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukraine

    12 publications · 497 citations

    12

    h-index

  2. GS
    Guang‐Jing Song

    Weifang University, China

    5 publications · 168 citations

    5

    h-index

  3. GW
    Guorong Wang

    Shanghai Normal University, China

    4 publications · 104 citations

    4

    h-index

  4. QW
    Qing‐Wen Wang

    Shanghai University, China

    3 publications · 132 citations

    3

    h-index

  5. AS
    Abdul Shakoor

    Qatar University, Qatar

    2 publications · 29 citations

    2

    h-index

1–5 of 133

Institutions

98

  1. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics

    Lviv, Ukraine

    12 h-index

    12 publications

    497 citations

  2. Weifang University

    Weifang, China

    5 h-index

    5 publications

    168 citations

  3. Shanghai Normal University

    Shanghai, China

    4 h-index

    6 publications

    131 citations

  4. Shanghai University

    Shanghai, China

    3 h-index

    3 publications

    132 citations

  5. Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR)

    Cologne, Germany

    2 h-index

    2 publications

    217 citations

  6. University of Tennessee at Knoxville

    Knoxville, United States

    2 h-index

    3 publications

    121 citations

  7. Université Paris-Sud

    Orsay, France

    2 h-index

    3 publications

    45 citations

  8. Laboratoire de Mathématiques d'Orsay

    Orsay, France

    2 h-index

    2 publications

    25 citations

1–8 of 98

Venues

  1. Linear and Multilinear Algebra

    7 publications · 289 citations

    7

    h-index

  2. Applied Mathematics and Computation

    7 publications · 258 citations

    7

    h-index

  3. Linear Algebra and its Applications

    7 publications · 226 citations

    7

    h-index

  4. Advances in Applied Clifford Algebras

    AACA · 4 publications · 128 citations

    4

    h-index

  5. The Annals of Mathematical Statistics

    4 publications · 680 citations

    4

    h-index

1–5