Concepedia

Conditioning Of Roots

Conditioning of Roots is a theoretical construct in numerical analysis that characterizes the sensitivity of the roots of a polynomial to perturbations in its coefficients, distinguishing it from related concepts by its focus on the intrinsic stability of root-finding problems.

11

Publications

435

Citations

18

Authors

12

Institutions

Publications per year

2017–2026

1

Parents

Publications

11

XX.—Studies in Practical Mathematics. II. The Evaluation of the Latent Roots and Latent Vectors of a Matrix

A. C. Aitken · Proceedings of the Royal Society of Edinburgh · 1938 · 85 citations

, , +9

Univariate polynomials

Victor Y. Pan · 2001 · 62 citations

, , +17

Approximate square-free decomposition and root-finding of lll-conditioned algebraic equations

Takeshi Sasaki, Masamichi Noda · Journal of information processing · 1989 · 59 citations

, , +12

Conditions That the Roots of a Polynomial be Less Than Unity in Absolute Value

Paul A. Samuelson · The Annals of Mathematical Statistics · 1941 · 57 citations · Full text

, , +5

An efficient algorithm for infallible polynomial complex root isolation

George E. Collins, Werner Krandick · 1992 · 33 citations

, , +6

1–5 of 11

Authors

18

  1. TS
    Takeshi Sasaki

    National Institute of Advanced Industrial Science and Technology, Japan

    1 publications · 59 citations

    1

    h-index

  2. NW
    Noah Williams

    Princeton University, United States

    1 publications · 25 citations

    1

    h-index

  3. MN
    Masamichi Noda

    Ehime University, Japan

    1 publications · 59 citations

    1

    h-index

  4. AC
    A. C. Aitken

    Mathematical Institute of the Slovak Academy of Sciences, Slovakia

    1 publications · 85 citations

    1

    h-index

  5. SO
    Sean O’Rourke

    University of California, Davis, United States

    1 publications · 25 citations

    1

    h-index

1–5 of 18

Institutions

12

  1. Russian Academy of Sciences

    Moscow, Russia

    1 h-index

    2 publications

    20 citations

  2. Wolfram Research (United States)

    Champaign, United States

    1 h-index

    1 publications

    32 citations

  3. Ehime University

    Matsuyama, Japan

    1 h-index

    1 publications

    59 citations

  4. Purdue University West Lafayette

    West Lafayette, United States

    1 h-index

    1 publications

    30 citations

  5. Mathematical Institute of the Slovak Academy of Sciences

    Bratislava, Slovakia

    1 h-index

    1 publications

    85 citations

  6. University of Edinburgh

    Edinburgh, United Kingdom

    1 h-index

    1 publications

    85 citations

  7. RIKEN

    Wako, Japan

    1 h-index

    1 publications

    59 citations

  8. Northeastern Illinois University

    Chicago, United States

    1 h-index

    1 publications

    30 citations

1–8 of 12

Venues

  1. Journal of information processing

    2 publications · 71 citations

    2

    h-index

  2. Mathematical Models and Computer Simulations

    1 publications · 10 citations

    1

    h-index

  3. Computing

    1 publications · 32 citations

    1

    h-index

  4. Proceedings of the Royal Society of Edinburgh

    1 publications · 85 citations

    1

    h-index

  5. Numerische Mathematik

    1 publications · 30 citations

    1

    h-index

1–5