Concepedia

Operator Pencils

Operator Pencils is a mathematical construct in spectral theory consisting of a one-parameter family of linear operators, typically expressed as a polynomial in a spectral parameter, that generalizes the notion of linear operators to enable the study of nonlinear spectral problems.

94

Publications

2.2K

Citations

102

Authors

66

Institutions

Publications per year

2017–2026

7

Variants

Operator Pencil

Parents

Publications

94

Schur parameter pencils for the solution of the unitary eigenproblem

Angelika Bunse‐Gerstner, L. Elsner · Linear Algebra and its Applications · 1991 · 81 citations

, , +12

The Matrix Equation $AXB + CXD = E$

Sujit Kumar Mitra · SIAM Journal on Applied Mathematics · 1977 · 74 citations

, , +10

Self-adjoint quadratic operator pencils and elliptic problems

A. G. Kostyuchenko · Functional Analysis and Its Applications · 1983 · 60 citations

, , +12

Basis property of eigenfunctions of nonselfadjoint operator pencils generated by the equation of nonhomogeneous damped string

Marianna A. Shubov · Integral Equations and Operator Theory · 1996 · 60 citations

, , +13

Asymptotic and Spectral Analysis of the Spatially Nonhomogeneous Timoshenko Beam Model

Marianna A. Shubov · Mathematische Nachrichten · 2002 · 60 citations

, , +16

1–5 of 94

Authors

102

  1. CT
    Christiane Tretter

    University of Bern, Switzerland

    5 publications · 135 citations

    5

    h-index

  2. VP
    Vyacheslav Pivovarchik

    State institution "South Ukrainian National Pedagogical University named after K. D. Ushynsky", Ukraine

    4 publications · 52 citations

    4

    h-index

  3. ÖÇ
    Öner Çakar

    Ankara University, Türkiye

    4 publications · 167 citations

    4

    h-index

  4. EB
    Elgiz Bairamov

    Ankara University, Türkiye

    4 publications · 167 citations

    4

    h-index

  5. HL
    Heinz Langer

    TU Wien, Austria

    4 publications · 71 citations

    4

    h-index

1–5 of 102

Institutions

66

  1. University of Calgary

    Calgary, Canada

    6 h-index

    8 publications

    164 citations

  2. Saratov State University

    Saratov, Russia

    5 h-index

    5 publications

    73 citations

  3. University of Regensburg

    Regensburg, Germany

    5 h-index

    7 publications

    182 citations

  4. Ankara University

    Ankara, Türkiye

    4 h-index

    8 publications

    334 citations

  5. Pennsylvania State University

    State College, United States

    3 h-index

    3 publications

    117 citations

  6. University of South Australia

    Adelaide, Australia

    3 h-index

    8 publications

    90 citations

  7. Texas Tech University

    Lubbock, United States

    3 h-index

    3 publications

    136 citations

  8. Bielefeld University

    Bielefeld, Germany

    2 h-index

    4 publications

    216 citations

1–8 of 66

Venues

  1. Integral Equations and Operator Theory

    11 publications · 293 citations

    11

    h-index

  2. Linear Algebra and its Applications

    5 publications · 139 citations

    5

    h-index

  3. 4

    h-index

  4. Mathematics of the USSR-Sbornik

    4 publications · 107 citations

    4

    h-index

  5. Functional Analysis and Its Applications

    4 publications · 107 citations

    4

    h-index

1–5