The parameterized 𝑆𝑅 algorithm for symplectic (butterfly) matrices

DOI10.1090/S0025-5718-00-01265-5zbMath0986.65032MaRDI QIDQ2723526

Heike Fassbender

Publication date: 5 July 2001

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

eigenvalue problemsymplectic matrix\(SR\) algorithmbutterfly matrix

Mathematics Subject Classification ID

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

Related Items (3)

A collection of efficient retractions for the symplectic Stiefel manifold ⋮ A Core-Chasing Symplectic QR Algorithm ⋮ Computing Symplectic Eigenpairs of Symmetric Positive-Definite Matrices via Trace Minimization and Riemannian Optimization

Cites Work

• Convergence of algorithms of decomposition type for the eigenvalue problem
• A Schur decomposition for Hamiltonian matrices
• The autonomous linear quadratic control problem. Theory and numerical solution
• Numerical linear algorithms and group theory
• \(SR\) and \(SZ\) algorithms for the symplectic (butterfly) eigenproblem
• The symplectic eigenvalue problem, the butterfly form, the SR algorithm, and the Lanczos method
• Matrix factorizations for symplectic QR-like methods
• Linear Hamiltonian difference systems: Disconjugacy and Jacobi-type conditions
• The QR Transformation A Unitary Analogue to the LR Transformation--Part 1
• Comments on "On the numerical solution of the discrete-time algebraic Riccati equation"
• A symplectic QR like algorithm for the solution of the real algebraic Riccati equation
• The Problem of Lateral Buckling of Cantilever Plates
• On some algorithms for the solution of the complete eigenvalue problem
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