On the convergence of method the euler-jacobi method

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2 Scopus citations


The Euler-Jacobi method for the solution of the symmetric eigen-value problem uses as basic transformations Euler rotations which diagonalize exactly 3×3 submatrices. We prove that the cyclic Euler-Jacobi method is quadratically convergent for matrices with distinct eigenvalues. We show that the cyclic Euler-Jacobi method is a relaxation method for minimization of a functional measuring the departure of a rotation matrix from being matrix. a diagonalizing.

Original languageEnglish (US)
Pages (from-to)185-202
Number of pages18
JournalNumerical Functional Analysis and Optimization
Issue number1-2
StatePublished - Jan 1 1992


ASJC Scopus subject areas

  • Computer Science Applications
  • Signal Processing
  • Analysis
  • Control and Optimization

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