Parametrization of the Matrix Symplectic Group and Applications

DOI10.1137/060678221zbMath1193.15011OpenAlexW2013423684MaRDI QIDQ3561177

Charles R. Johnson, Froilán M. Dopico

Publication date: 25 May 2010

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

Full work available at URL: https://semanticscholar.org/paper/cf6e2511c8f649dd17282da0d65d169cbc728f45

zbMATH Keywords

LU factorizationpositive matricesM-matrixtotally nonnegative matrixsymplectic matrixcomplementary bases

Mathematics Subject Classification ID

Factorization of matrices (15A23) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Matrix equations and identities (15A24) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (9)

On computing the symplectic \(LL^T\) factorization ⋮ First order structure-preserving perturbation theory for eigenvalues of symplectic matrices. II ⋮ Symplectic analysis of time-frequency spaces ⋮ The metaplectic action on modulation spaces ⋮ First Order Structure-Preserving Perturbation Theory for Eigenvalues of Symplectic Matrices ⋮ Optimization on the symplectic Stiefel manifold: SR decomposition-based retraction and applications ⋮ Unit Triangular Factorization of the Matrix Symplectic Group ⋮ An inverse‐free ADI algorithm for computing Lagrangian invariant subspaces ⋮ 2n-by-2n symplectic completions of matrices of order 2n − 1

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