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The rational Krylov algorithm for nonlinear matrix eigenvalue problems

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Publication:1405654
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DOI10.1023/A:1022414805217zbMath1029.65035MaRDI QIDQ1405654

Axel Ruhe

Publication date: 1 September 2003

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)


zbMATH Keywords

rational Krylov algorithmnonlinear matrix eigenvalue problems


Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18)


Related Items (7)

Rational Krylov for nonlinear eigenproblems, an iterative projection method. ⋮ Parallel computation of the eigenvalues of symmetric Toeplitz matrices through iterative methods ⋮ A successive quadratic approximations method for nonlinear eigenvalue problems ⋮ Complex dispersion relation calculations with the symmetric interior penalty method ⋮ A Newton-Type Method with Nonequivalence Deflation for Nonlinear Eigenvalue Problems Arising in Photonic Crystal Modeling ⋮ Generalized Rational Krylov Decompositions with an Application to Rational Approximation ⋮ Rational Krylov algorithms for nonsymmetric eigenvalue problems. II: Matrix pairs


Uses Software

  • JDQR
  • JDQZ






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