A KQZ algorithm for solving linear-response eigenvalue equations
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Publication:1184477
DOI10.1016/0024-3795(92)90231-XzbMath0759.65013MaRDI QIDQ1184477
Ulrike Flaschka, Jy-Liang Wu, Wen-Wei Lin
Publication date: 28 June 1992
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
eigenvalueconvergence accelerationblock structureQZ algorithm\(K\)-orthogonal transformationsimplicit KQ theoremKQZ algorithmlinear-response eigenvalue equations
Related Items (10)
Linear response eigenvalue problem solved by extended locally optimal preconditioned conjugate gradient methods ⋮ On doubly structured matrices and pencils that arise in linear response theory. ⋮ Minimization principles and computation for the generalized linear response eigenvalue problem ⋮ A projected preconditioned conjugate gradient method for the linear response eigenvalue problem ⋮ A semiorthogonal generalized Arnoldi method and its variations for quadratic eigenvalue problems ⋮ A novel nonsymmetric \(K\)-Lanczos algorithm for the generalized nonsymmetric \(K\)-eigenvalue problems ⋮ A symmetric structure-preserving {\(\Gamma\)}QR algorithm for linear response eigenvalue problems ⋮ Structure-preserving \(\Gamma\) QR and \(\Gamma\)-Lanczos algorithms for Bethe-Salpeter eigenvalue problems ⋮ Trace minimization method via penalty for linear response eigenvalue problems ⋮ Schur-like forms for matrix Lie groups, Lie algebras and Jordan algebras
Cites Work
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- Solution of the large matrix equations which occur in response theory
- The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices
- Reduction of the symmetric eigenproblem \(Ax =\lambda Bx\) and related problems to standard form
- On the Sensitivity of the Eigenvalue Problem $Ax = \lambda Bx$
- An Algorithm for Generalized Matrix Eigenvalue Problems
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