scientific article

zbMath0701.65032MaRDI QIDQ3479452

David S. Watkins, Volker Mehrmann, Angelika Bunse-Gerstner

Publication date: 1989

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

comparisonnumerical resultsalgebraic Riccati equationinvariant subspaceGaussian eliminationHamiltonian matrixSR-Algorithm

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

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A class of Hamiltonian-symplectic methods for solving the algebraic Riccati equation ⋮ An efficient and stable structure preserving algorithm for computing the eigenvalues of a Hamiltonian matrix ⋮ The parameterized 𝑆𝑅 algorithm for symplectic (butterfly) matrices ⋮ A structure-preserving doubling algorithm for continuous-time algebraic Riccati equations ⋮ A Hamiltonian Krylov-Schur-type method based on the symplectic Lanczos process ⋮ Error analysis of symplectic Lanczos method for Hamiltonian eigenvalue problem ⋮ Convergence of algorithms of decomposition type for the eigenvalue problem ⋮ \(SR\) and \(SZ\) algorithms for the symplectic (butterfly) eigenproblem ⋮ \(QR\)-like algorithms for eigenvalue problems