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Accurate complex Jacobi rotations

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Publication:6581968
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DOI10.1016/J.CAM.2024.116003MaRDI QIDQ6581968

Vedran Novaković

Publication date: 1 August 2024

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)




zbMATH Keywords

Hermitian eigenproblemroundoff analysisJacobi rotation


Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Roundoff error (65G50) Software, source code, etc. for problems pertaining to numerical analysis (65-04)


Cites Work

  • New Fast and Accurate Jacobi SVD Algorithm. I
  • New Fast and Accurate Jacobi SVD Algorithm. II
  • MPFR
  • LAPACK Users' Guide
  • Implementation of Jacobi Rotations for Accurate Singular Value Computation in Floating Point Arithmetic
  • On the convergence of complex Jacobi methods
  • Algorithm 1014
  • Vectorization of a Thread-Parallel Jacobi Singular Value Decomposition Method
  • Accurate calculation of Euclidean norms using double-word arithmetic







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