A Numerical Method for Computing an SVD-like Decomposition

DOI10.1137/S0895479802410529zbMath1114.65036MaRDI QIDQ5317640

Hong-guo Xu

Publication date: 19 September 2005

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

eigenvalue problemSVDJordan canonical formskew-symmetric matrixHamiltonian matrixQR algorithmsymplectic matrixSchur formJacobi algorithmorthogonal symplectic matrixSVD-like decomposition

Mathematics Subject Classification ID

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

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Symplectic Model Reduction of Hamiltonian Systems on Nonlinear Manifolds and Approximation with Weakly Symplectic Autoencoder ⋮ An iterative method for computing a symplectic SVD-like decomposition ⋮ Fifty Three Matrix Factorizations: A Systematic Approach ⋮ An SVD-like matrix decomposition and its applications ⋮ Structure preserving parallel algorithms for solving the Bethe-Salpeter eigenvalue problem ⋮ Port-Hamiltonian fluid–structure interaction modelling and structure-preserving model order reduction of a classical guitar ⋮ The hyperbolic Schur decomposition

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