Computing periodic deflating subspaces associated with a specified set of eigenvalues

DOI10.1007/s10543-007-0143-yzbMath1146.65029OpenAlexW2051828690MaRDI QIDQ2465660

Daniel Kressner, Robert Granat, Bo Kågström

Publication date: 7 January 2008

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-007-0143-y

zbMATH Keywords

coupled Sylvester equationperiodic eigenvalue problemeigenvalue reorderinggeneralized periodic real Schur formK-cyclic matrix pair sequence

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalue problems (93B60)

Related Items (9)

Perturbation analysis for the periodic generalized coupled Sylvester equation ⋮ Perturbation bounds for the periodic Schur decomposition ⋮ On condition numbers of the spectral projections associated with periodic eigenproblems ⋮ Periodic conjugate direction algorithm for symmetric periodic solutions of general coupled periodic matrix equations ⋮ Backward errors of periodic invariant subspaces for regular periodic matrix pairs ⋮ A numerical evaluation of solvers for the periodic Riccati differential equation ⋮ Developing CGNE algorithm for the periodic discrete-time generalized coupled Sylvester matrix equations ⋮ Coupled Sylvester-type Matrix Equations and Block Diagonalization ⋮ Computational issues for linear periodic systems: paradigms, algorithms, open problems

Uses Software

• LAPACK
• CLAPACK
• mctoolbox
• SONEST
• CONEST

Cites Work

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