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Finding roots of complex analytic functions via generalized colleague matrices

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Publication:6601287
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DOI10.1007/S10444-024-10174-ZzbMATH Open1545.65209MaRDI QIDQ6601287

H. Zhang, Vladimir Rokhlin

Publication date: 10 September 2024

Published in: Advances in Computational Mathematics (Search for Journal in Brave)




zbMATH Keywords

approximation theoryorthogonal polynomialrootfindingcolleague matrix


Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical computation of roots of polynomial equations (65H04)


Cites Work

  • Efficient eigenvalue computation for quasiseparable Hermitian matrices under low rank perturbations
  • Fast and Backward Stable Computation of Roots of Polynomials, Part II: Backward Error Analysis; Companion Matrix and Companion Pencil
  • Fast and Backward Stable Computation of Roots of Polynomials
  • Complex symmetric matrices







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