Numerical linear algorithms and group theory
From MaRDI portal
Publication:1218719
DOI10.1016/0024-3795(75)90074-9zbMath0308.65025OpenAlexW1995361533MaRDI QIDQ1218719
Publication date: 1975
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(75)90074-9
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Algebraic systems of matrices (15A30)
Related Items
Lie algebra representations, nilpotent matrices, and the \(C\)-numerical range ⋮ On the conditioning of factors in the SR decomposition ⋮ Randomized Newton's method for solving differential equations based on the neural network discretization ⋮ Two connections between the \(SR\) and \(HR\) eigenvalue algorithms ⋮ Sensitivity analysis for the SR decomposition ⋮ Matrix differential equations: a continuous realization process for linear algebra problems ⋮ Optimization on the symplectic Stiefel manifold: SR decomposition-based retraction and applications ⋮ An upper \(J\)-Hessenberg reduction of a matrix through symplectic Householder transformations ⋮ Equivalence between modified symplectic Gram-Schmidt and Householder SR algorithms ⋮ The parameterized 𝑆𝑅 algorithm for symplectic (butterfly) matrices ⋮ Optimal symplectic Householder transformations for \(SR\) decomposition ⋮ Symplectic Householder transformations for a QR-like decomposition, a geometric and algebraic approaches ⋮ On theoretical and numerical aspects of symplectic Gram-Schmidt-like algorithms ⋮ Topological properties of J-orthogonal matrices ⋮ On some algebraic problems in connection with general eigenvalue algorithms ⋮ Convergence of algorithms of decomposition type for the eigenvalue problem ⋮ A treatment of breakdowns and near breakdowns in a reduction of a matrix to upper \(J\)-Hessenberg form and related topics ⋮ G-matrices, J-orthogonal matrices, and their sign patterns ⋮ Matrix factorizations for symplectic QR-like methods ⋮ \(SR\) and \(SZ\) algorithms for the symplectic (butterfly) eigenproblem ⋮ \(QR\)-like algorithms for eigenvalue problems ⋮ Cholesky-Like Factorization of Symmetric Indefinite Matrices and Orthogonalization with Respect to Bilinear Forms ⋮ The symplectic eigenvalue problem, the butterfly form, the SR algorithm, and the Lanczos method ⋮ On matrix differential equations and abstract FG algorithm ⋮ Symplectic factorizations and parallel iterative algorithms for tridiagonal systems of equations
Cites Work
