Iterative computation of derivatives of repeated eigenvalues and the corresponding eigenvectors

DOI<151::AID-NLA191>3.0.CO;2-M 10.1002/1099-1506(200005)7:4<151::AID-NLA191>3.0.CO;2-MzbMath1051.65039OpenAlexW1988099423MaRDI QIDQ4814478

Roger C. E. Tan, Alan L. Andrew

Publication date: 7 September 2004

Full work available at URL: https://doi.org/10.1002/1099-1506(200005)7:4<151::aid-nla191>3.0.co;2-m

zbMATH Keywords

algorithmnumerical resultsconvergence accelerationmultiple eigenvaluesclose eigenvaluessimultaneous iterationeigenvalue and eigenvector sensitivities

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items (10)

IRAM-based method for eigenpairs and their derivatives of large matrix-valued functions ⋮ Calculation of eigenpair derivatives for symmetric quadratic eigenvalue problem with repeated eigenvalues ⋮ A new iterative method for many eigenpair partial derivatives ⋮ Computation of eigenpair partial derivatives by Rayleigh-Ritz procedure ⋮ An iterative method for simultaneously computing the derivatives of simple and multiple eigenpairs of a quadratic eigenvalue problem ⋮ Algebraic and modal methods for computing high-order sensitivities in asymmetrical undamped system ⋮ An iterative method for partial derivatives of eigenvectors of quadratic eigenvalue problems ⋮ Derivatives of repeated eigenvalues and corresponding eigenvectors of damped systems ⋮ Eigenvalue analysis of structures with interval parameters using the second-order Taylor series expansion and the DCA for QB ⋮ An eigenspace method for computing derivatives of semi-simple eigenvalues and corresponding eigenvectors of quadratic eigenvalue problems

Cites Work

• Calculation of eigenvector derivatives for structures with repeated eigenvalues
• Accelerated subspace iteration for eigenvector derivatives
• Accelerated Iterative Procedure for Calculating Eigenvector Derivatives
• Iterative least-squares calculation for modal eigenvector sensitivity
• Efficient Computation of Eigenvector Sensitivities for Structural Dynamics
• Computation of derivatives of repeated eigenvalues and corresponding eigenvectors by simultaneous iteration

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